Formation Charginos and Dark matter from electron- positron annihilation

Document Type : Original Article

Authors

1 Physics -faculty of science -Helwan University

2 Department of Physics, Faculty of science, Helwan university,Cairo, Egypt

3 Physics Department, Faculty of Science, Helwan University, Helwan, Egypt.

Abstract

Two Charginos (χ ̃^±) and neutralino (χ ̃^o) produced in the Minimal Supersymmetric Standard Model (MSSM) via the process e^- (p_1 )+e^+ (p_3 )→χ ̃_i^- (p_2 )+χ ̃_j^+ (p_4 )+χ ̃_l^° (p_5 ) and the cross sections for this interaction calculated by Feynman rules when γ^° is the propagator, and χ ̃_l^0 is a leg from (e^-) or from (e^+) where i,j=1,2,and l=1,2,3,4. There are (128) different possible situations. The cross-sections σ (pb) calculated and graphed as a function of S (GeV) (center of mass energy) based on (MSSM), the mechanisms of Feynman diagram can be detected as:
e^- (P_1-P_5 )+e^+ (P_3 )→γ^0 (P_2+P_4 )→χ_i^- (P_2 )+χ_j^+ (P_4 )
e^- (P_1 )+e^+ (P_3-p_5 )→γ^0 (P_2+P_4 )→χ_i^- (P_2 )+χ_j^+ (P_4 )
At S interval (400- 2000) GeV, the best value of σ is ( 1.18 ) Pb when χ ̃_l^0 is a leg from (e^-) and masses of Charginos are m_(χ ̃_i^- )=700 GeV, m_(χ ̃_j^+ )=600GeV and 〖 m〗_(χ ̃_l^0 )=300 GeV

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