Investigation of production of neutral Higgs boson and two charged charginos from electron-positron annihilation via different propagators

Abstract

In the current work, the production of neutral Higgs boson (H ℓ °) and two charged Charginos (χ ̃i + , χ ̃j − ) owing to electron-positron annihilation via different propagators for the process e − (p 1 ) + e + (p 3 ) → χ ̃i + (p 2 ) + χ ̃j − (p 4 ) + H ℓ °(p 5 ) were investigated and in the Minimal Supersymmetric Standard Model (MSSM), the cross sections for this interaction were estimated. Five groups of 240 probabilities from Feynman diagrams are taken by different propagators. Group (I) when h o and Z o bosons are propagators, Group (II) when Z o and h o bosons are propagators, Group (III) when h o and h o (Lightest Higgs boson) bosons are propagators, Group (IV) Z o and Z o bosons are propagators and Group (V) χ ̃o and Z o boson arepropagators where i = j = 1,2 and ℓ = 1,2,3.The process's production cross-sections as a function of mass center energy were calculated, and the best cross-section was based on all considerations of the (MSSM) was determined, the process's mechanisms can be identified as:𝑒 − (𝑃 1 ) + 𝑒 + (𝑃 3 ) → 𝑍 𝑜 (𝑃 1 + 𝑃 3 ) → 𝑍 𝑜 (𝑃 2 + 𝑃 4 ) → 𝜒 ̃𝑖 + (𝑝 2 ) + 𝜒 ̃𝑗 − (𝑝 4 ) in group IV 𝑒 − (𝑃 1 ) + 𝑒 + (𝑃 3 ) → 𝑍 𝑜 (𝑃 1 + 𝑃 3 ) → ℎ 𝑜 (𝑃 2 + 𝑃 4 ) → 𝜒 ̃𝑖 + (𝑝 2 ) + 𝜒 ̃𝑗 − (𝑝 4 ) in group II.𝑒 − (𝑃 1 ) + 𝑒 + (𝑃 3 ) → ℎ 𝑜 (𝑃 1 + 𝑃 3 ) → ℎ 𝑜 (𝑃 2 + 𝑃 4 ) → 𝜒 ̃𝑖 + (𝑝 2 ) + 𝜒 ̃𝑗 − (𝑝 4 ) in group III 𝑒 − (𝑃 1 ) + 𝑒 + (𝑃 3 ) → χ ̃𝑜(𝑃 1 + 𝑃 3 ) → 𝑍 𝑜 (𝑃 2 + 𝑃 4 ) → 𝜒 ̃𝑖 + (𝑝 2 ) + 𝜒 ̃𝑗 − (𝑝 4 ) in group V 𝑒 − (𝑃 1 ) + 𝑒 + (𝑃 3 ) → ℎ 𝑜 (𝑃 1 + 𝑃 3 ) → 𝑍 𝑜 (𝑃 2 + 𝑃 4 ) → 𝜒 ̃𝑖 + (𝑝 2 ) + 𝜒 ̃𝑗 − (𝑝 4 ) in group I.At S interval (1600-3500) Gev, the best value of σ is ( 7.3934 × 10 −4 ) Pb in-group (IV).When masses of Charginos are m 𝜒 ̃𝑗 − = 900 GeV, m 𝜒 ̃𝑖 + = 700GeV and mass of neutral Higgs boson is m 𝐻 ℓ ° = 140 GeV