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Particle Physics Tour with CalcHEP
by Shymaa M. Seif Assistant lecturer in Physics Department Cairo University, Egypt Supervision: Dr. A. Glayshev A. Bednyakov 1
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CalcHEP CalcHEP package is created for calculation of decay and high energy collision processes of elementary particle in tree approximation. The mean idea of CalcHEP is to make available passing from the Lagrangian to the final distribution effectively, with high level of automatization. 2
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Some useful features CalcHEP
You can restrict/specify the particle that enter the intermediate state. CalcHEP provides a menu of structure functions, including CTEQ6 series which can be used to help compute pp scattering processes. You can apply cuts before computing cross sections, sometimes this is necessary to remove divergences. CalcHEP can perform calculations in various SUSY models; this is require CERNLIB Limit on number of external legs (involved particles) and number of diagrams 3
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CalcHEP SM Particles 4
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CalcHEP SM Parameters 5
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CalcHEP SM Constraints
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CalcHEP SM Vertices 7
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Switch on External Libraries
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Particle content of CalcHEP
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CalcHEP limitations No Hadronic bound state. No loop o box diagrams.
All processes are averaged over allowed initial-state spin polarizations and summed over final-state polarization. No neutrino oscillations. 10
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Procedure for computing results
Specify decay or scattering process View diagrams; can be written in latex, can delet selected diagrams Square diagrams (can view) Symbolic calculations Write results C code C-compiler Go to new window for numerical calculations Select subprocess if applicable Define cuts if desired Vegas (Simpson if applicable) Set distributions and ranges if desired Integrate (2 < 1 for numerically consistent result) View distribution Generate events if desired 11
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Setting Model Parameters
I have studied the dependence of the total cross section on the mass of light Higgs mass for the tree level process in mSUGRA. The model parameters were set: tanβ=10, μ >1, m0 = –A0 =100 GeV and m1/2 =250 GeV. and the SM parameters had taken as ew(MZ)-1 = , mW = GeV, mZ = GeV, mt =175 GeV, mb =4.62 GeV 12
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control of the initial states and parton density functions
The structure function (PDF) for the proton is CTEQ6l The momenta for both protons = 7000 GeV The cuts M0 30 GeV, m >176 GeV, m >173GeV, The momenta for both protons = 7000 GeV such that s =14 TeV 13
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LO Feynman Diagrams for
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LO Feynman Diagrams for
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Comparison between cross-sections
Mh (GeV) σ (fb) μ = μ0 μ = 4μ0 95 0.3482 0.2363 100 0.3314 0.2163 105 0.3117 0.2035 110 0.2961 0.1943 115 0.2755 0.1826 120 0.2594 0.1746 125 0.2466 0.1625 130 0.2337 0.1484 Table 1 Table 2 16
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