Investigation of the nuetralino pair production at LHC

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In this article, we investigate the Drell-Yan process of the light neutralino pair χᵢ⁰χⱼ⁰ (i,j=1,2) productions at proton-proton collisions and we present the general formulate for the differential cross sections. We conduct an extensive examination of the dependence of the total cross section of the subprocesses q q → χᵢ⁰χⱼ⁰ on the beam energy, on the mass of the squarks and also on the M₂ gaugino for the three extremely different scenarios. For all three cases, the outcomes are as follows. The dependence of the total cross section of the subprocesses q q → χᵢ⁰ χⱼ⁰ on the beam energy is dominated by one of the subprocesses, q q → χ₁⁰ χ₂⁰. On the other hand, the dependence of the total cross section of the subprocesses q q → χᵢ⁰ χⱼ⁰ on the mass of the squarks is dominated by one of the subprocesses, q q → χ₁⁰ χ₂⁰. We derive there from that our findings may lead to new insights relating to experimental investigations and these dependencies may be used as bases of an experimental research for the neutralino pair at LHC.