SlideShare ist ein Scribd-Unternehmen logo
1 von 10
Downloaden Sie, um offline zu lesen
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
1
Production of Neutralinos Via H0
Propagator From Electron –
Positron Annihilation
M.M.Ahmed and Asmaa .A.A.
Physics Department, Helwan University Cairo, Egypt
mkader4@yahoo.com ,smsm_amein25@yahoo.com
Abstract .The cross-sections σ, in electron (e-) positron (e+) collision, are calculated over range of center of
mass energy S for the process.
The process will done when the products are

i
~ ,

 j
~ , and 

~ , where 

~ is a leg from electron or positron,
and

H is a propagator. (Where , = 1, 2, 3, 4).
The cross sections are calculated according to a carefully selected set of parameters. These different possible
situations are graphed and tabulated. There are 512 situations in two groups, one of them when is a leg
from positron and the other when is a leg from electron. The production mechanisms can be detected as
in which have the best cross-section value. At S interval (1200 - 2500) Gev, the cross-section value above
1x10-22
pb. with different value of neutralino mass .
Keywords: neutralinos ; selectron; Neutral Higgs bosons.
1. Introduction:
One of the main open problems of particle physics is the understanding of the mechanism responsible for
breakdown of the electroweak symmetry. The cross-sections for the production of neutralinos due to electron-
positron annihilation, is calculated according to the reaction.
(Where 1, 2, 3,4).
In the Standard Model (SM) [1] the SU (2) U(1) group is assumed to be spontaneously broken and
bosons acquire their masses through Higgs mechanism.
In the minimal version of the SM where only one Higgs doublet is present, the theory predicts one neutral scalar
particle 0
H with an arbitrary mass. The existence of the Higgs boson remains the main missing ingredient for the
complete consistency of the SM but it might just as well play a crucial role in the discovery of new physics.
Now, the low energy super gravity model [2] represents one of the most popular extensions of the SM super
symmetry standard model is actually able to solve the problem of "naturalness" [3] for light scalar particles. In
the general CP-conserving two-Higgs doublet model, three of the eight original scalar degrees of freedom
become the longitudinal components of the via the Higgs mechanism. The five remaining physical
degrees of freedom manifest themselves as three neutral Higgs and a pair of charged Higgs . We
assume the model to be CP-conserving, in which case are CP- even while is CP-odd (pseudo
scalar) with respect to coupling to the SM fermions.
In particle physics, a slepton is a sfermion which is hypothetical boson Superpartner of a lepton whose
existence is implied by Supersymmetry. Slepton have the same flavour and electric charge as corresponding
leptons and their spin is zero. For example slectron is superpartner of electron
The MSSM (Minimal Supersymetric Model) contains four neutralinos , which are due to the mixing of
photino , Zion and neutral Higgsinos. The neutralino sector depends on four parameters: gaugino masses and
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
2
associated with the U (1) and SU (2) subgroups of standard model, the Higgs mass parameter μ , and the ratio
of the vacuum expectation values (vev) of the Higgs fields.
In particle physics, the neutralino [4]. is a hypothetical particle predicted by supersymmetry. There are four
neutralinos that are fermions and are electrically neutral, the lightest of which is typically stable. The heaviest
although sometimes is also used when is used to refer to charginos. These four states are mixtures of
the bino and the neutral wino (which are the neutral electroweak gauginos), and the neutral higgsinos. As the
neutralinos are Majorana fermions, each of them is identical to its antiparticle. Because these particles only
interact with the weak vector bosons, they are not directly produced at hadron colliders in copious numbers. They
primarily appear as particles in cascade decays of heavier particles (decays that happen in multiple steps) usually
originating from colored supersymmetric particles such as squarks or gluinos.
In R-parity conserving models, the lightest neutralino is stable and all supersymmetric cascade-decays end up
decaying into this particle which leaves the detector unseen and its existence can only be inferred by looking for
unbalanced momentum in a detector.
The heavier neutralinos typically decay through a neutral Z boson to a lighter neutralino or through a charged
W boson to a light chargino[5] In supersymmetry models, all Standard Model particles have partner particles with
the same quantum numbers except for the quantum number spin, which differs by 1/2 from its partner particle.
Since the superpartners of the Z boson (zino), the photon (photino) and the neutral higgs (higgsino) have the same
quantum numbers, they can mix to form four eigenstates of the mass operator called "neutralinos". In many
models the lightest of the four neutralinos turns out to be the lightest supersymmetric particle (LSP), though other
particles may also take on this role.
The MSSM model has two Higgs doublets and additional constraints [6,7].
,
,
.
From these constraints, it also follows that
,
are the masses of the Higgs particles respectively. and w is the standard
weak mixing angle.
The two angles and are fixed in terms of the Higgs boson masses [8].
])()[(2cos2cos 22
1
22
3 zz MmMm  
])()[(2sin2sin 2
2
2
1
2
2
2
1 mmmm  
])()[(2tan2tan 22
3
22
3 zz MmMm  
The angel α can be taken to lie in the interval . And the angel β lie in the interval
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
3
2. Production via Neutral Higgs boson

H propagator
2.1 Feynman Diagrams
(a)
(b)
Figure.1 Feynman diagrams for the process via Neutral Higgs
boson . There are (1-512) diagrams.
2.2 The Matrix Elements
2.2.1 First group for a (1-256) are
2.2.2 Second group for b (257-512) are
Where: N are the (4 4) matrices diagonalizing of the neutralino mass matrix[9].
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
4
and is the electron mass,
The Feynman rules for vertices [13,14,15]
The results are interpreted as upper limits in the parameter space of the minimal supersymmetric
standard model in a benchmark scenario favoring this decay mode (Search for neutral Higgs bosons in
events with multiple bottom quarks at the Tevatron)[10]
2.3 Cross section calculations:
In this work we have 3-body final states with momentum 542 P,P,P and the initial states have momentum
31 P,P .In general, thecross section for the process can be written in the form
)m,(S,)m,m(S,
ddydx
M
531
2
22


  
 
where M is the matrix element previously mentioned, the integration is performed using a simple approximation
obtained by an improved Weizsacker-Williamson procedure [11,12]. Where
The limit of integration is given as follows:
In all our calculations by using Mathematica program, we assume the following values for vector-boson
masses suggested:
, ,
,
The Cross sections are calculated as a function of center of mass energy for the Feynman diagrams of figure(1.a)
by using above equations and Mathematica program and the result are given in figs.(2-a) by interchanging the
indices i & j and the mass of Neutralino is constant with indices = 1, 2.3.
m11 Blue m23 Green
m22 Brown m14 Yellow
m33 Red m24 Pink
m21 Orange m34 Purple
m13 Black m44 Cyan
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
5
Figure (2-a).The cross section for figure (1-a) to situations (1-256). For the process
.
The Cross sections are calculated as a function of center of mass energy for the Feynman diagrams of figure(1.b)
by using above equations and Mathematica program and the result are given in figs.(2-b) by interchanging the
indices i & j and the mass of Neutralino is constant with indices = 1, 2.3.
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
6
Figure (2-b).The cross section for figure( 1-a) to situations (257 - 256). For the process
.
3. Results:
Figs.(2-a) and Fig.(2-b), show the cross-sections for the process as a
function of center of mass energy S . (Neutralino is emitted from positron or electron as legs through Neutral
Higgs boson propagator).
If center of mass energy S increase the cross-sections increase, but after certain value of S the value of cross
sections decrease. The following table shows the comparison between all data of cross-section to determine the
best value of cross-section.
No expected significant different in value of mass consider.
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
7
4. Table
5. conclusion
From table , it could be concluded that the reaction has highest cross section for the reaction For
, and the cross section goes up to at (S=
2300 Gev) when Neutralino is emitted from positron as a leg via Neutral Higgs boson propagator.
fig. no. i j S(Gev)at
max σ
Max
σ(Pb)
Group – 1
Situations (1-256). For the process
.
2-a
44 2350
34 2300
34 2400
Group – 2
Situations (257 - 256). For the process
.
2-b
24 2050
44 2300
14 2280
Advances in Physics Theories and Applications www.iiste.org
ISSN 2224-719X (Paper) ISSN 2225-0638 (Online)
Vol.33, 2014
8
6. Acknowledgment
First thanks God for help . Special thanks for Dr Mahmoud Hamam, Prof. of Physics, Former dean of
the Faculty of Science, Helwan University for his assistance.
7. References
[1] De-Chang Dai, Dejan Stojkovic, (2008)1426 hep-ph/0902.3662.
[2] Frank Daniel Steffen, Eur.Phys.J.C, (2008) 557 (hep-ph/0811.3347).
[3] H. Baer, F.E. Paige, S.D. Protopopescu and X. Tata, (1993) 703 (hep-ph/0312045).
[4] Martin, Stephen P. "A Supersymmetry Primer",(2008). arXiv:hep-ph/9709356v5 [hep-ph]. Also published as
Chapter 1 in Kane, Gordon L, ed. Perspectives on Supersymmetry II. World Scientific. p. 604. ISBN 978-981-
4307-48-2,(2010).
[5] Bertone, Gianfranco, ed. Particle Dark Matter: Observations, Models and Searches. Cambridge University
Press. p. 762. ISBN 978-0-521-76368-4 ,(2010)..
[6] H. Goldberg, Phys. Rev. Lett. 50, (1983) 1419; J. R. Ellis, J. S. Hagelin, D. V. Nanopoulos,K. A.
Olibbbbbve and M. Srednicki, Nucl. Phys. B238, (1984) 453.
[7] Durmus, A. Demira, Mariana Frankb, and Ismail Turanb, (2006)2 (hep-ph/0604168).
[8] D. J. H. Chung, L. L. Everett, G. L. Kane, S. F. King, J. D. Lykken and L. T. Wang, Phys. Rept. 407,
(2005) 1 (hep-ph/0312378).
[9] G. B´elanger, F. Boudjema , S. Kraml, A. Pukhov and A. Semenov, Phys .Rev. D (2006) 73( hep-
ph/0604150).
[10] Phys. Rev. D 86, 091101(R) – Published 6 November (2012), T. Aaltonen et al. (CDF Collaboration, D0
Collaboration)
[11] J.F.Gunion and H.E, Haber Nucl.Phys.B 272 1(1986); B 278 449(1986)
[12] J.F.Gunion and H.E, Haber.G.I Kane and S.Dawson, the Higgs hunter’s guide1(1990).
[13]S.M.Bilenky and J.Hosek, Phys.Rep.,90 73(1990)73.
[14] W.Buchmuller, D.Wyler, Nucl. Phys. B 268 621(1986) ; C.J.C Burges and H.J. Schmitzer , Nucl. Phys.
B 228 424(1983).
[15] W.Williamson, American J.of Physics, 33 987(1965)
The IISTE is a pioneer in the Open-Access hosting service and academic event
management. The aim of the firm is Accelerating Global Knowledge Sharing.
More information about the firm can be found on the homepage:
http://www.iiste.org
CALL FOR JOURNAL PAPERS
There are more than 30 peer-reviewed academic journals hosted under the hosting
platform.
Prospective authors of journals can find the submission instruction on the
following page: http://www.iiste.org/journals/ All the journals articles are available
online to the readers all over the world without financial, legal, or technical barriers
other than those inseparable from gaining access to the internet itself. Paper version
of the journals is also available upon request of readers and authors.
MORE RESOURCES
Book publication information: http://www.iiste.org/book/
IISTE Knowledge Sharing Partners
EBSCO, Index Copernicus, Ulrich's Periodicals Directory, JournalTOCS, PKP Open
Archives Harvester, Bielefeld Academic Search Engine, Elektronische
Zeitschriftenbibliothek EZB, Open J-Gate, OCLC WorldCat, Universe Digtial
Library , NewJour, Google Scholar
Business, Economics, Finance and Management Journals PAPER SUBMISSION EMAIL
European Journal of Business and Management EJBM@iiste.org
Research Journal of Finance and Accounting RJFA@iiste.org
Journal of Economics and Sustainable Development JESD@iiste.org
Information and Knowledge Management IKM@iiste.org
Journal of Developing Country Studies DCS@iiste.org
Industrial Engineering Letters IEL@iiste.org
Physical Sciences, Mathematics and Chemistry Journals PAPER SUBMISSION EMAIL
Journal of Natural Sciences Research JNSR@iiste.org
Journal of Chemistry and Materials Research CMR@iiste.org
Journal of Mathematical Theory and Modeling MTM@iiste.org
Advances in Physics Theories and Applications APTA@iiste.org
Chemical and Process Engineering Research CPER@iiste.org
Engineering, Technology and Systems Journals PAPER SUBMISSION EMAIL
Computer Engineering and Intelligent Systems CEIS@iiste.org
Innovative Systems Design and Engineering ISDE@iiste.org
Journal of Energy Technologies and Policy JETP@iiste.org
Information and Knowledge Management IKM@iiste.org
Journal of Control Theory and Informatics CTI@iiste.org
Journal of Information Engineering and Applications JIEA@iiste.org
Industrial Engineering Letters IEL@iiste.org
Journal of Network and Complex Systems NCS@iiste.org
Environment, Civil, Materials Sciences Journals PAPER SUBMISSION EMAIL
Journal of Environment and Earth Science JEES@iiste.org
Journal of Civil and Environmental Research CER@iiste.org
Journal of Natural Sciences Research JNSR@iiste.org
Life Science, Food and Medical Sciences PAPER SUBMISSION EMAIL
Advances in Life Science and Technology ALST@iiste.org
Journal of Natural Sciences Research JNSR@iiste.org
Journal of Biology, Agriculture and Healthcare JBAH@iiste.org
Journal of Food Science and Quality Management FSQM@iiste.org
Journal of Chemistry and Materials Research CMR@iiste.org
Education, and other Social Sciences PAPER SUBMISSION EMAIL
Journal of Education and Practice JEP@iiste.org
Journal of Law, Policy and Globalization JLPG@iiste.org
Journal of New Media and Mass Communication NMMC@iiste.org
Journal of Energy Technologies and Policy JETP@iiste.org
Historical Research Letter HRL@iiste.org
Public Policy and Administration Research PPAR@iiste.org
International Affairs and Global Strategy IAGS@iiste.org
Research on Humanities and Social Sciences RHSS@iiste.org
Journal of Developing Country Studies DCS@iiste.org
Journal of Arts and Design Studies ADS@iiste.org

Weitere ähnliche Inhalte

Was ist angesagt?

Physics of the Universe in New Perspective
Physics of the Universe in New PerspectivePhysics of the Universe in New Perspective
Physics of the Universe in New Perspectiveijrap
 
Phase locking in chains of multiple-coupled oscillators
Phase locking in chains of multiple-coupled oscillatorsPhase locking in chains of multiple-coupled oscillators
Phase locking in chains of multiple-coupled oscillatorsLiwei Ren任力偉
 
Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...
Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...
Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...Liwei Ren任力偉
 
Power point presentation
Power point presentationPower point presentation
Power point presentationKunal Kishore
 
Coexistence of Superconductivity and Itinerant Ferromagnetism in Ucoge
Coexistence of Superconductivity and Itinerant Ferromagnetism in UcogeCoexistence of Superconductivity and Itinerant Ferromagnetism in Ucoge
Coexistence of Superconductivity and Itinerant Ferromagnetism in Ucogeijrap
 
Problems and solutions statistical physics 1
Problems and solutions   statistical physics 1Problems and solutions   statistical physics 1
Problems and solutions statistical physics 1Alberto de Mesquita
 
Excitons, lifetime and Drude tail within the current~current response framew...
Excitons, lifetime and Drude tail  within the current~current response framew...Excitons, lifetime and Drude tail  within the current~current response framew...
Excitons, lifetime and Drude tail within the current~current response framew...Claudio Attaccalite
 
To the Issue of Reconciling Quantum Mechanics and General Relativity
To the Issue of Reconciling Quantum Mechanics and General RelativityTo the Issue of Reconciling Quantum Mechanics and General Relativity
To the Issue of Reconciling Quantum Mechanics and General RelativityIOSRJAP
 
Statistical mechanics
Statistical mechanics Statistical mechanics
Statistical mechanics Kumar
 
Magnetic Materials Assignment Help
Magnetic Materials Assignment HelpMagnetic Materials Assignment Help
Magnetic Materials Assignment HelpEdu Assignment Help
 
Lecture 7 8 statistical thermodynamics - introduction
Lecture 7 8 statistical thermodynamics - introductionLecture 7 8 statistical thermodynamics - introduction
Lecture 7 8 statistical thermodynamics - introductionViraj Dande
 
Applications of Magnon Excitations in Spintronic and Optomagnetic Devices
Applications of Magnon Excitations in Spintronic and Optomagnetic DevicesApplications of Magnon Excitations in Spintronic and Optomagnetic Devices
Applications of Magnon Excitations in Spintronic and Optomagnetic DevicesEmeka Ikpeazu
 

Was ist angesagt? (18)

DL_FinalProposal
DL_FinalProposalDL_FinalProposal
DL_FinalProposal
 
en_qu_sch
en_qu_schen_qu_sch
en_qu_sch
 
An03302430245
An03302430245An03302430245
An03302430245
 
Physics of the Universe in New Perspective
Physics of the Universe in New PerspectivePhysics of the Universe in New Perspective
Physics of the Universe in New Perspective
 
Phase locking in chains of multiple-coupled oscillators
Phase locking in chains of multiple-coupled oscillatorsPhase locking in chains of multiple-coupled oscillators
Phase locking in chains of multiple-coupled oscillators
 
Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...
Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...
Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbo...
 
Power point presentation
Power point presentationPower point presentation
Power point presentation
 
Coexistence of Superconductivity and Itinerant Ferromagnetism in Ucoge
Coexistence of Superconductivity and Itinerant Ferromagnetism in UcogeCoexistence of Superconductivity and Itinerant Ferromagnetism in Ucoge
Coexistence of Superconductivity and Itinerant Ferromagnetism in Ucoge
 
Problems and solutions statistical physics 1
Problems and solutions   statistical physics 1Problems and solutions   statistical physics 1
Problems and solutions statistical physics 1
 
Excitons, lifetime and Drude tail within the current~current response framew...
Excitons, lifetime and Drude tail  within the current~current response framew...Excitons, lifetime and Drude tail  within the current~current response framew...
Excitons, lifetime and Drude tail within the current~current response framew...
 
To the Issue of Reconciling Quantum Mechanics and General Relativity
To the Issue of Reconciling Quantum Mechanics and General RelativityTo the Issue of Reconciling Quantum Mechanics and General Relativity
To the Issue of Reconciling Quantum Mechanics and General Relativity
 
Statistical mechanics
Statistical mechanics Statistical mechanics
Statistical mechanics
 
Lecture2
Lecture2Lecture2
Lecture2
 
Magnetic Materials Assignment Help
Magnetic Materials Assignment HelpMagnetic Materials Assignment Help
Magnetic Materials Assignment Help
 
Lecture 7 8 statistical thermodynamics - introduction
Lecture 7 8 statistical thermodynamics - introductionLecture 7 8 statistical thermodynamics - introduction
Lecture 7 8 statistical thermodynamics - introduction
 
Applications of Magnon Excitations in Spintronic and Optomagnetic Devices
Applications of Magnon Excitations in Spintronic and Optomagnetic DevicesApplications of Magnon Excitations in Spintronic and Optomagnetic Devices
Applications of Magnon Excitations in Spintronic and Optomagnetic Devices
 
MastersThesis
MastersThesisMastersThesis
MastersThesis
 
statistical physics assignment help
statistical physics assignment helpstatistical physics assignment help
statistical physics assignment help
 

Andere mochten auch

Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...
Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...
Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...Dr Dev Kambhampati
 
New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...
New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...
New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...Apulian ICT Living Labs
 
Н.Н. Кудрявцев, Ректор МФТИ
Н.Н. Кудрявцев, Ректор МФТИ  Н.Н. Кудрявцев, Ректор МФТИ
Н.Н. Кудрявцев, Ректор МФТИ Pharmcluster
 
Заповіді успішного блогера
Заповіді успішного блогераЗаповіді успішного блогера
Заповіді успішного блогераMykola Malukha
 
Econsultancy Digital Shorts | Destination Marketing - a content marketing story?
Econsultancy Digital Shorts | Destination Marketing - a content marketing story?Econsultancy Digital Shorts | Destination Marketing - a content marketing story?
Econsultancy Digital Shorts | Destination Marketing - a content marketing story?Jon Munro
 
Интегрированные решения на базе платформ Docsvision и 1С
Интегрированные решения на базе платформ Docsvision и 1СИнтегрированные решения на базе платформ Docsvision и 1С
Интегрированные решения на базе платформ Docsvision и 1СDocsvision
 
Artciculo xerostomia.doc
Artciculo xerostomia.docArtciculo xerostomia.doc
Artciculo xerostomia.docCindy Cn
 
Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...
Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...
Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...Obhie Firmansyah
 

Andere mochten auch (9)

Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...
Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...
Dr Dev Kambhampati | GAO Report- Sub-Saharan Africa- Trends in US & Chinese E...
 
New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...
New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...
New inter-clusters collaboration methodologies - Sandrine Becqueriaux and Fra...
 
Н.Н. Кудрявцев, Ректор МФТИ
Н.Н. Кудрявцев, Ректор МФТИ  Н.Н. Кудрявцев, Ректор МФТИ
Н.Н. Кудрявцев, Ректор МФТИ
 
Заповіді успішного блогера
Заповіді успішного блогераЗаповіді успішного блогера
Заповіді успішного блогера
 
Econsultancy Digital Shorts | Destination Marketing - a content marketing story?
Econsultancy Digital Shorts | Destination Marketing - a content marketing story?Econsultancy Digital Shorts | Destination Marketing - a content marketing story?
Econsultancy Digital Shorts | Destination Marketing - a content marketing story?
 
Интегрированные решения на базе платформ Docsvision и 1С
Интегрированные решения на базе платформ Docsvision и 1СИнтегрированные решения на базе платформ Docsvision и 1С
Интегрированные решения на базе платформ Docsvision и 1С
 
Artciculo xerostomia.doc
Artciculo xerostomia.docArtciculo xerostomia.doc
Artciculo xerostomia.doc
 
Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...
Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...
Kepemimpinan dalam organisasi oleh bapak jorlin pakpahan pada diklatpim iii t...
 
JavaScript Landscape
JavaScript LandscapeJavaScript Landscape
JavaScript Landscape
 

Ähnlich wie Production of neutralinos via h0 propagator from electron –

Physics of the Universe in New Perspective
Physics of the Universe in New PerspectivePhysics of the Universe in New Perspective
Physics of the Universe in New Perspectiveijrap
 
Physics of the Universe in New Perspective
Physics of the Universe in New PerspectivePhysics of the Universe in New Perspective
Physics of the Universe in New Perspectiveijrap
 
2 ijcmp oct-2017-2-nuclear structure calculations
2 ijcmp oct-2017-2-nuclear structure calculations2 ijcmp oct-2017-2-nuclear structure calculations
2 ijcmp oct-2017-2-nuclear structure calculationsAI Publications
 
List of particles
List of particlesList of particles
List of particlesYayGautam
 
FINAL 2014 Summer QuarkNet Research – LHCb Paper
FINAL 2014 Summer QuarkNet Research – LHCb PaperFINAL 2014 Summer QuarkNet Research – LHCb Paper
FINAL 2014 Summer QuarkNet Research – LHCb PaperTheodore Baker
 
International journal of engineering and mathematical modelling vol2 no1_2015_2
International journal of engineering and mathematical modelling vol2 no1_2015_2International journal of engineering and mathematical modelling vol2 no1_2015_2
International journal of engineering and mathematical modelling vol2 no1_2015_2IJEMM
 
On the black hole mass decomposition in nonlinear electrodynamics
On the black hole mass decomposition in nonlinear electrodynamicsOn the black hole mass decomposition in nonlinear electrodynamics
On the black hole mass decomposition in nonlinear electrodynamicsSOCIEDAD JULIO GARAVITO
 
Öncel Akademi: İstatistiksel Sismoloji
Öncel Akademi: İstatistiksel SismolojiÖncel Akademi: İstatistiksel Sismoloji
Öncel Akademi: İstatistiksel SismolojiAli Osman Öncel
 
A new approach to the higgs field
A new approach to the higgs fieldA new approach to the higgs field
A new approach to the higgs fieldEran Sinbar
 
Manifolds and Catastrophes for Physical Systems
Manifolds and Catastrophes for Physical SystemsManifolds and Catastrophes for Physical Systems
Manifolds and Catastrophes for Physical SystemsBRNSSPublicationHubI
 
Quark Model Three Body Calculations for the Hypertriton Bound State
Quark Model Three Body Calculations for the Hypertriton Bound StateQuark Model Three Body Calculations for the Hypertriton Bound State
Quark Model Three Body Calculations for the Hypertriton Bound StateIOSR Journals
 
Conformal Anisotropic Mechanics And Horavas Particle
Conformal Anisotropic Mechanics And Horavas ParticleConformal Anisotropic Mechanics And Horavas Particle
Conformal Anisotropic Mechanics And Horavas Particleguest9fa195
 
Charge-To-Mass Ratio Of Electrons Lab Report
Charge-To-Mass Ratio Of Electrons Lab ReportCharge-To-Mass Ratio Of Electrons Lab Report
Charge-To-Mass Ratio Of Electrons Lab ReportShelly Martinez
 
Probing spin dynamics from the Mott insulating to the superfluid regime in a ...
Probing spin dynamics from the Mott insulating to the superfluid regime in a ...Probing spin dynamics from the Mott insulating to the superfluid regime in a ...
Probing spin dynamics from the Mott insulating to the superfluid regime in a ...Arijit Sharma
 
Higgs inflation
Higgs inflationHiggs inflation
Higgs inflationOUSEPHCJ
 
Es2014sep05 684
Es2014sep05 684Es2014sep05 684
Es2014sep05 684nsfphyman
 
Phys e8(2000)1
Phys e8(2000)1Phys e8(2000)1
Phys e8(2000)1FISICO2012
 
Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...
Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...
Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...IOSR Journals
 

Ähnlich wie Production of neutralinos via h0 propagator from electron – (20)

Quantum chaos in clean many-body systems - Tomaž Prosen
Quantum chaos in clean many-body systems - Tomaž ProsenQuantum chaos in clean many-body systems - Tomaž Prosen
Quantum chaos in clean many-body systems - Tomaž Prosen
 
Physics of the Universe in New Perspective
Physics of the Universe in New PerspectivePhysics of the Universe in New Perspective
Physics of the Universe in New Perspective
 
Physics of the Universe in New Perspective
Physics of the Universe in New PerspectivePhysics of the Universe in New Perspective
Physics of the Universe in New Perspective
 
2 ijcmp oct-2017-2-nuclear structure calculations
2 ijcmp oct-2017-2-nuclear structure calculations2 ijcmp oct-2017-2-nuclear structure calculations
2 ijcmp oct-2017-2-nuclear structure calculations
 
List of particles
List of particlesList of particles
List of particles
 
FINAL 2014 Summer QuarkNet Research – LHCb Paper
FINAL 2014 Summer QuarkNet Research – LHCb PaperFINAL 2014 Summer QuarkNet Research – LHCb Paper
FINAL 2014 Summer QuarkNet Research – LHCb Paper
 
E05731721
E05731721E05731721
E05731721
 
International journal of engineering and mathematical modelling vol2 no1_2015_2
International journal of engineering and mathematical modelling vol2 no1_2015_2International journal of engineering and mathematical modelling vol2 no1_2015_2
International journal of engineering and mathematical modelling vol2 no1_2015_2
 
On the black hole mass decomposition in nonlinear electrodynamics
On the black hole mass decomposition in nonlinear electrodynamicsOn the black hole mass decomposition in nonlinear electrodynamics
On the black hole mass decomposition in nonlinear electrodynamics
 
Öncel Akademi: İstatistiksel Sismoloji
Öncel Akademi: İstatistiksel SismolojiÖncel Akademi: İstatistiksel Sismoloji
Öncel Akademi: İstatistiksel Sismoloji
 
A new approach to the higgs field
A new approach to the higgs fieldA new approach to the higgs field
A new approach to the higgs field
 
Manifolds and Catastrophes for Physical Systems
Manifolds and Catastrophes for Physical SystemsManifolds and Catastrophes for Physical Systems
Manifolds and Catastrophes for Physical Systems
 
Quark Model Three Body Calculations for the Hypertriton Bound State
Quark Model Three Body Calculations for the Hypertriton Bound StateQuark Model Three Body Calculations for the Hypertriton Bound State
Quark Model Three Body Calculations for the Hypertriton Bound State
 
Conformal Anisotropic Mechanics And Horavas Particle
Conformal Anisotropic Mechanics And Horavas ParticleConformal Anisotropic Mechanics And Horavas Particle
Conformal Anisotropic Mechanics And Horavas Particle
 
Charge-To-Mass Ratio Of Electrons Lab Report
Charge-To-Mass Ratio Of Electrons Lab ReportCharge-To-Mass Ratio Of Electrons Lab Report
Charge-To-Mass Ratio Of Electrons Lab Report
 
Probing spin dynamics from the Mott insulating to the superfluid regime in a ...
Probing spin dynamics from the Mott insulating to the superfluid regime in a ...Probing spin dynamics from the Mott insulating to the superfluid regime in a ...
Probing spin dynamics from the Mott insulating to the superfluid regime in a ...
 
Higgs inflation
Higgs inflationHiggs inflation
Higgs inflation
 
Es2014sep05 684
Es2014sep05 684Es2014sep05 684
Es2014sep05 684
 
Phys e8(2000)1
Phys e8(2000)1Phys e8(2000)1
Phys e8(2000)1
 
Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...
Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...
Five-Dimensional Cosmological Model with Time-Dependent G and Lamda for Const...
 

Mehr von Alexander Decker

Abnormalities of hormones and inflammatory cytokines in women affected with p...
Abnormalities of hormones and inflammatory cytokines in women affected with p...Abnormalities of hormones and inflammatory cytokines in women affected with p...
Abnormalities of hormones and inflammatory cytokines in women affected with p...Alexander Decker
 
A validation of the adverse childhood experiences scale in
A validation of the adverse childhood experiences scale inA validation of the adverse childhood experiences scale in
A validation of the adverse childhood experiences scale inAlexander Decker
 
A usability evaluation framework for b2 c e commerce websites
A usability evaluation framework for b2 c e commerce websitesA usability evaluation framework for b2 c e commerce websites
A usability evaluation framework for b2 c e commerce websitesAlexander Decker
 
A universal model for managing the marketing executives in nigerian banks
A universal model for managing the marketing executives in nigerian banksA universal model for managing the marketing executives in nigerian banks
A universal model for managing the marketing executives in nigerian banksAlexander Decker
 
A unique common fixed point theorems in generalized d
A unique common fixed point theorems in generalized dA unique common fixed point theorems in generalized d
A unique common fixed point theorems in generalized dAlexander Decker
 
A trends of salmonella and antibiotic resistance
A trends of salmonella and antibiotic resistanceA trends of salmonella and antibiotic resistance
A trends of salmonella and antibiotic resistanceAlexander Decker
 
A transformational generative approach towards understanding al-istifham
A transformational  generative approach towards understanding al-istifhamA transformational  generative approach towards understanding al-istifham
A transformational generative approach towards understanding al-istifhamAlexander Decker
 
A time series analysis of the determinants of savings in namibia
A time series analysis of the determinants of savings in namibiaA time series analysis of the determinants of savings in namibia
A time series analysis of the determinants of savings in namibiaAlexander Decker
 
A therapy for physical and mental fitness of school children
A therapy for physical and mental fitness of school childrenA therapy for physical and mental fitness of school children
A therapy for physical and mental fitness of school childrenAlexander Decker
 
A theory of efficiency for managing the marketing executives in nigerian banks
A theory of efficiency for managing the marketing executives in nigerian banksA theory of efficiency for managing the marketing executives in nigerian banks
A theory of efficiency for managing the marketing executives in nigerian banksAlexander Decker
 
A systematic evaluation of link budget for
A systematic evaluation of link budget forA systematic evaluation of link budget for
A systematic evaluation of link budget forAlexander Decker
 
A synthetic review of contraceptive supplies in punjab
A synthetic review of contraceptive supplies in punjabA synthetic review of contraceptive supplies in punjab
A synthetic review of contraceptive supplies in punjabAlexander Decker
 
A synthesis of taylor’s and fayol’s management approaches for managing market...
A synthesis of taylor’s and fayol’s management approaches for managing market...A synthesis of taylor’s and fayol’s management approaches for managing market...
A synthesis of taylor’s and fayol’s management approaches for managing market...Alexander Decker
 
A survey paper on sequence pattern mining with incremental
A survey paper on sequence pattern mining with incrementalA survey paper on sequence pattern mining with incremental
A survey paper on sequence pattern mining with incrementalAlexander Decker
 
A survey on live virtual machine migrations and its techniques
A survey on live virtual machine migrations and its techniquesA survey on live virtual machine migrations and its techniques
A survey on live virtual machine migrations and its techniquesAlexander Decker
 
A survey on data mining and analysis in hadoop and mongo db
A survey on data mining and analysis in hadoop and mongo dbA survey on data mining and analysis in hadoop and mongo db
A survey on data mining and analysis in hadoop and mongo dbAlexander Decker
 
A survey on challenges to the media cloud
A survey on challenges to the media cloudA survey on challenges to the media cloud
A survey on challenges to the media cloudAlexander Decker
 
A survey of provenance leveraged
A survey of provenance leveragedA survey of provenance leveraged
A survey of provenance leveragedAlexander Decker
 
A survey of private equity investments in kenya
A survey of private equity investments in kenyaA survey of private equity investments in kenya
A survey of private equity investments in kenyaAlexander Decker
 
A study to measures the financial health of
A study to measures the financial health ofA study to measures the financial health of
A study to measures the financial health ofAlexander Decker
 

Mehr von Alexander Decker (20)

Abnormalities of hormones and inflammatory cytokines in women affected with p...
Abnormalities of hormones and inflammatory cytokines in women affected with p...Abnormalities of hormones and inflammatory cytokines in women affected with p...
Abnormalities of hormones and inflammatory cytokines in women affected with p...
 
A validation of the adverse childhood experiences scale in
A validation of the adverse childhood experiences scale inA validation of the adverse childhood experiences scale in
A validation of the adverse childhood experiences scale in
 
A usability evaluation framework for b2 c e commerce websites
A usability evaluation framework for b2 c e commerce websitesA usability evaluation framework for b2 c e commerce websites
A usability evaluation framework for b2 c e commerce websites
 
A universal model for managing the marketing executives in nigerian banks
A universal model for managing the marketing executives in nigerian banksA universal model for managing the marketing executives in nigerian banks
A universal model for managing the marketing executives in nigerian banks
 
A unique common fixed point theorems in generalized d
A unique common fixed point theorems in generalized dA unique common fixed point theorems in generalized d
A unique common fixed point theorems in generalized d
 
A trends of salmonella and antibiotic resistance
A trends of salmonella and antibiotic resistanceA trends of salmonella and antibiotic resistance
A trends of salmonella and antibiotic resistance
 
A transformational generative approach towards understanding al-istifham
A transformational  generative approach towards understanding al-istifhamA transformational  generative approach towards understanding al-istifham
A transformational generative approach towards understanding al-istifham
 
A time series analysis of the determinants of savings in namibia
A time series analysis of the determinants of savings in namibiaA time series analysis of the determinants of savings in namibia
A time series analysis of the determinants of savings in namibia
 
A therapy for physical and mental fitness of school children
A therapy for physical and mental fitness of school childrenA therapy for physical and mental fitness of school children
A therapy for physical and mental fitness of school children
 
A theory of efficiency for managing the marketing executives in nigerian banks
A theory of efficiency for managing the marketing executives in nigerian banksA theory of efficiency for managing the marketing executives in nigerian banks
A theory of efficiency for managing the marketing executives in nigerian banks
 
A systematic evaluation of link budget for
A systematic evaluation of link budget forA systematic evaluation of link budget for
A systematic evaluation of link budget for
 
A synthetic review of contraceptive supplies in punjab
A synthetic review of contraceptive supplies in punjabA synthetic review of contraceptive supplies in punjab
A synthetic review of contraceptive supplies in punjab
 
A synthesis of taylor’s and fayol’s management approaches for managing market...
A synthesis of taylor’s and fayol’s management approaches for managing market...A synthesis of taylor’s and fayol’s management approaches for managing market...
A synthesis of taylor’s and fayol’s management approaches for managing market...
 
A survey paper on sequence pattern mining with incremental
A survey paper on sequence pattern mining with incrementalA survey paper on sequence pattern mining with incremental
A survey paper on sequence pattern mining with incremental
 
A survey on live virtual machine migrations and its techniques
A survey on live virtual machine migrations and its techniquesA survey on live virtual machine migrations and its techniques
A survey on live virtual machine migrations and its techniques
 
A survey on data mining and analysis in hadoop and mongo db
A survey on data mining and analysis in hadoop and mongo dbA survey on data mining and analysis in hadoop and mongo db
A survey on data mining and analysis in hadoop and mongo db
 
A survey on challenges to the media cloud
A survey on challenges to the media cloudA survey on challenges to the media cloud
A survey on challenges to the media cloud
 
A survey of provenance leveraged
A survey of provenance leveragedA survey of provenance leveraged
A survey of provenance leveraged
 
A survey of private equity investments in kenya
A survey of private equity investments in kenyaA survey of private equity investments in kenya
A survey of private equity investments in kenya
 
A study to measures the financial health of
A study to measures the financial health ofA study to measures the financial health of
A study to measures the financial health of
 

Production of neutralinos via h0 propagator from electron –

  • 1. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 1 Production of Neutralinos Via H0 Propagator From Electron – Positron Annihilation M.M.Ahmed and Asmaa .A.A. Physics Department, Helwan University Cairo, Egypt mkader4@yahoo.com ,smsm_amein25@yahoo.com Abstract .The cross-sections σ, in electron (e-) positron (e+) collision, are calculated over range of center of mass energy S for the process. The process will done when the products are  i ~ ,   j ~ , and   ~ , where   ~ is a leg from electron or positron, and  H is a propagator. (Where , = 1, 2, 3, 4). The cross sections are calculated according to a carefully selected set of parameters. These different possible situations are graphed and tabulated. There are 512 situations in two groups, one of them when is a leg from positron and the other when is a leg from electron. The production mechanisms can be detected as in which have the best cross-section value. At S interval (1200 - 2500) Gev, the cross-section value above 1x10-22 pb. with different value of neutralino mass . Keywords: neutralinos ; selectron; Neutral Higgs bosons. 1. Introduction: One of the main open problems of particle physics is the understanding of the mechanism responsible for breakdown of the electroweak symmetry. The cross-sections for the production of neutralinos due to electron- positron annihilation, is calculated according to the reaction. (Where 1, 2, 3,4). In the Standard Model (SM) [1] the SU (2) U(1) group is assumed to be spontaneously broken and bosons acquire their masses through Higgs mechanism. In the minimal version of the SM where only one Higgs doublet is present, the theory predicts one neutral scalar particle 0 H with an arbitrary mass. The existence of the Higgs boson remains the main missing ingredient for the complete consistency of the SM but it might just as well play a crucial role in the discovery of new physics. Now, the low energy super gravity model [2] represents one of the most popular extensions of the SM super symmetry standard model is actually able to solve the problem of "naturalness" [3] for light scalar particles. In the general CP-conserving two-Higgs doublet model, three of the eight original scalar degrees of freedom become the longitudinal components of the via the Higgs mechanism. The five remaining physical degrees of freedom manifest themselves as three neutral Higgs and a pair of charged Higgs . We assume the model to be CP-conserving, in which case are CP- even while is CP-odd (pseudo scalar) with respect to coupling to the SM fermions. In particle physics, a slepton is a sfermion which is hypothetical boson Superpartner of a lepton whose existence is implied by Supersymmetry. Slepton have the same flavour and electric charge as corresponding leptons and their spin is zero. For example slectron is superpartner of electron The MSSM (Minimal Supersymetric Model) contains four neutralinos , which are due to the mixing of photino , Zion and neutral Higgsinos. The neutralino sector depends on four parameters: gaugino masses and
  • 2. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 2 associated with the U (1) and SU (2) subgroups of standard model, the Higgs mass parameter μ , and the ratio of the vacuum expectation values (vev) of the Higgs fields. In particle physics, the neutralino [4]. is a hypothetical particle predicted by supersymmetry. There are four neutralinos that are fermions and are electrically neutral, the lightest of which is typically stable. The heaviest although sometimes is also used when is used to refer to charginos. These four states are mixtures of the bino and the neutral wino (which are the neutral electroweak gauginos), and the neutral higgsinos. As the neutralinos are Majorana fermions, each of them is identical to its antiparticle. Because these particles only interact with the weak vector bosons, they are not directly produced at hadron colliders in copious numbers. They primarily appear as particles in cascade decays of heavier particles (decays that happen in multiple steps) usually originating from colored supersymmetric particles such as squarks or gluinos. In R-parity conserving models, the lightest neutralino is stable and all supersymmetric cascade-decays end up decaying into this particle which leaves the detector unseen and its existence can only be inferred by looking for unbalanced momentum in a detector. The heavier neutralinos typically decay through a neutral Z boson to a lighter neutralino or through a charged W boson to a light chargino[5] In supersymmetry models, all Standard Model particles have partner particles with the same quantum numbers except for the quantum number spin, which differs by 1/2 from its partner particle. Since the superpartners of the Z boson (zino), the photon (photino) and the neutral higgs (higgsino) have the same quantum numbers, they can mix to form four eigenstates of the mass operator called "neutralinos". In many models the lightest of the four neutralinos turns out to be the lightest supersymmetric particle (LSP), though other particles may also take on this role. The MSSM model has two Higgs doublets and additional constraints [6,7]. , , . From these constraints, it also follows that , are the masses of the Higgs particles respectively. and w is the standard weak mixing angle. The two angles and are fixed in terms of the Higgs boson masses [8]. ])()[(2cos2cos 22 1 22 3 zz MmMm   ])()[(2sin2sin 2 2 2 1 2 2 2 1 mmmm   ])()[(2tan2tan 22 3 22 3 zz MmMm   The angel α can be taken to lie in the interval . And the angel β lie in the interval
  • 3. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 3 2. Production via Neutral Higgs boson  H propagator 2.1 Feynman Diagrams (a) (b) Figure.1 Feynman diagrams for the process via Neutral Higgs boson . There are (1-512) diagrams. 2.2 The Matrix Elements 2.2.1 First group for a (1-256) are 2.2.2 Second group for b (257-512) are Where: N are the (4 4) matrices diagonalizing of the neutralino mass matrix[9].
  • 4. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 4 and is the electron mass, The Feynman rules for vertices [13,14,15] The results are interpreted as upper limits in the parameter space of the minimal supersymmetric standard model in a benchmark scenario favoring this decay mode (Search for neutral Higgs bosons in events with multiple bottom quarks at the Tevatron)[10] 2.3 Cross section calculations: In this work we have 3-body final states with momentum 542 P,P,P and the initial states have momentum 31 P,P .In general, thecross section for the process can be written in the form )m,(S,)m,m(S, ddydx M 531 2 22        where M is the matrix element previously mentioned, the integration is performed using a simple approximation obtained by an improved Weizsacker-Williamson procedure [11,12]. Where The limit of integration is given as follows: In all our calculations by using Mathematica program, we assume the following values for vector-boson masses suggested: , , , The Cross sections are calculated as a function of center of mass energy for the Feynman diagrams of figure(1.a) by using above equations and Mathematica program and the result are given in figs.(2-a) by interchanging the indices i & j and the mass of Neutralino is constant with indices = 1, 2.3. m11 Blue m23 Green m22 Brown m14 Yellow m33 Red m24 Pink m21 Orange m34 Purple m13 Black m44 Cyan
  • 5. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 5 Figure (2-a).The cross section for figure (1-a) to situations (1-256). For the process . The Cross sections are calculated as a function of center of mass energy for the Feynman diagrams of figure(1.b) by using above equations and Mathematica program and the result are given in figs.(2-b) by interchanging the indices i & j and the mass of Neutralino is constant with indices = 1, 2.3.
  • 6. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 6 Figure (2-b).The cross section for figure( 1-a) to situations (257 - 256). For the process . 3. Results: Figs.(2-a) and Fig.(2-b), show the cross-sections for the process as a function of center of mass energy S . (Neutralino is emitted from positron or electron as legs through Neutral Higgs boson propagator). If center of mass energy S increase the cross-sections increase, but after certain value of S the value of cross sections decrease. The following table shows the comparison between all data of cross-section to determine the best value of cross-section. No expected significant different in value of mass consider.
  • 7. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 7 4. Table 5. conclusion From table , it could be concluded that the reaction has highest cross section for the reaction For , and the cross section goes up to at (S= 2300 Gev) when Neutralino is emitted from positron as a leg via Neutral Higgs boson propagator. fig. no. i j S(Gev)at max σ Max σ(Pb) Group – 1 Situations (1-256). For the process . 2-a 44 2350 34 2300 34 2400 Group – 2 Situations (257 - 256). For the process . 2-b 24 2050 44 2300 14 2280
  • 8. Advances in Physics Theories and Applications www.iiste.org ISSN 2224-719X (Paper) ISSN 2225-0638 (Online) Vol.33, 2014 8 6. Acknowledgment First thanks God for help . Special thanks for Dr Mahmoud Hamam, Prof. of Physics, Former dean of the Faculty of Science, Helwan University for his assistance. 7. References [1] De-Chang Dai, Dejan Stojkovic, (2008)1426 hep-ph/0902.3662. [2] Frank Daniel Steffen, Eur.Phys.J.C, (2008) 557 (hep-ph/0811.3347). [3] H. Baer, F.E. Paige, S.D. Protopopescu and X. Tata, (1993) 703 (hep-ph/0312045). [4] Martin, Stephen P. "A Supersymmetry Primer",(2008). arXiv:hep-ph/9709356v5 [hep-ph]. Also published as Chapter 1 in Kane, Gordon L, ed. Perspectives on Supersymmetry II. World Scientific. p. 604. ISBN 978-981- 4307-48-2,(2010). [5] Bertone, Gianfranco, ed. Particle Dark Matter: Observations, Models and Searches. Cambridge University Press. p. 762. ISBN 978-0-521-76368-4 ,(2010).. [6] H. Goldberg, Phys. Rev. Lett. 50, (1983) 1419; J. R. Ellis, J. S. Hagelin, D. V. Nanopoulos,K. A. Olibbbbbve and M. Srednicki, Nucl. Phys. B238, (1984) 453. [7] Durmus, A. Demira, Mariana Frankb, and Ismail Turanb, (2006)2 (hep-ph/0604168). [8] D. J. H. Chung, L. L. Everett, G. L. Kane, S. F. King, J. D. Lykken and L. T. Wang, Phys. Rept. 407, (2005) 1 (hep-ph/0312378). [9] G. B´elanger, F. Boudjema , S. Kraml, A. Pukhov and A. Semenov, Phys .Rev. D (2006) 73( hep- ph/0604150). [10] Phys. Rev. D 86, 091101(R) – Published 6 November (2012), T. Aaltonen et al. (CDF Collaboration, D0 Collaboration) [11] J.F.Gunion and H.E, Haber Nucl.Phys.B 272 1(1986); B 278 449(1986) [12] J.F.Gunion and H.E, Haber.G.I Kane and S.Dawson, the Higgs hunter’s guide1(1990). [13]S.M.Bilenky and J.Hosek, Phys.Rep.,90 73(1990)73. [14] W.Buchmuller, D.Wyler, Nucl. Phys. B 268 621(1986) ; C.J.C Burges and H.J. Schmitzer , Nucl. Phys. B 228 424(1983). [15] W.Williamson, American J.of Physics, 33 987(1965)
  • 9. The IISTE is a pioneer in the Open-Access hosting service and academic event management. The aim of the firm is Accelerating Global Knowledge Sharing. More information about the firm can be found on the homepage: http://www.iiste.org CALL FOR JOURNAL PAPERS There are more than 30 peer-reviewed academic journals hosted under the hosting platform. Prospective authors of journals can find the submission instruction on the following page: http://www.iiste.org/journals/ All the journals articles are available online to the readers all over the world without financial, legal, or technical barriers other than those inseparable from gaining access to the internet itself. Paper version of the journals is also available upon request of readers and authors. MORE RESOURCES Book publication information: http://www.iiste.org/book/ IISTE Knowledge Sharing Partners EBSCO, Index Copernicus, Ulrich's Periodicals Directory, JournalTOCS, PKP Open Archives Harvester, Bielefeld Academic Search Engine, Elektronische Zeitschriftenbibliothek EZB, Open J-Gate, OCLC WorldCat, Universe Digtial Library , NewJour, Google Scholar
  • 10. Business, Economics, Finance and Management Journals PAPER SUBMISSION EMAIL European Journal of Business and Management EJBM@iiste.org Research Journal of Finance and Accounting RJFA@iiste.org Journal of Economics and Sustainable Development JESD@iiste.org Information and Knowledge Management IKM@iiste.org Journal of Developing Country Studies DCS@iiste.org Industrial Engineering Letters IEL@iiste.org Physical Sciences, Mathematics and Chemistry Journals PAPER SUBMISSION EMAIL Journal of Natural Sciences Research JNSR@iiste.org Journal of Chemistry and Materials Research CMR@iiste.org Journal of Mathematical Theory and Modeling MTM@iiste.org Advances in Physics Theories and Applications APTA@iiste.org Chemical and Process Engineering Research CPER@iiste.org Engineering, Technology and Systems Journals PAPER SUBMISSION EMAIL Computer Engineering and Intelligent Systems CEIS@iiste.org Innovative Systems Design and Engineering ISDE@iiste.org Journal of Energy Technologies and Policy JETP@iiste.org Information and Knowledge Management IKM@iiste.org Journal of Control Theory and Informatics CTI@iiste.org Journal of Information Engineering and Applications JIEA@iiste.org Industrial Engineering Letters IEL@iiste.org Journal of Network and Complex Systems NCS@iiste.org Environment, Civil, Materials Sciences Journals PAPER SUBMISSION EMAIL Journal of Environment and Earth Science JEES@iiste.org Journal of Civil and Environmental Research CER@iiste.org Journal of Natural Sciences Research JNSR@iiste.org Life Science, Food and Medical Sciences PAPER SUBMISSION EMAIL Advances in Life Science and Technology ALST@iiste.org Journal of Natural Sciences Research JNSR@iiste.org Journal of Biology, Agriculture and Healthcare JBAH@iiste.org Journal of Food Science and Quality Management FSQM@iiste.org Journal of Chemistry and Materials Research CMR@iiste.org Education, and other Social Sciences PAPER SUBMISSION EMAIL Journal of Education and Practice JEP@iiste.org Journal of Law, Policy and Globalization JLPG@iiste.org Journal of New Media and Mass Communication NMMC@iiste.org Journal of Energy Technologies and Policy JETP@iiste.org Historical Research Letter HRL@iiste.org Public Policy and Administration Research PPAR@iiste.org International Affairs and Global Strategy IAGS@iiste.org Research on Humanities and Social Sciences RHSS@iiste.org Journal of Developing Country Studies DCS@iiste.org Journal of Arts and Design Studies ADS@iiste.org