Narrow Results

We apply the leading and subleading electroweak (EW) corrections to the Drell–Yan process of the neutralino pair production at proton–proton collision, in order to calculate the effects of these corrections on the neutralino pair production at the LHC. We provide an analysis of the dependence of the Born cross-sections for and the EW corrections to this process, on the center-of-mass energy , on the M₂–μ mass plane and on the squark mass for the three different scenarios. The numerical results show that the relative correction can be reached to the few tens of percent level as the increment of the center-of-mass energy, and the evaluation of EW corrections is a crucial task for all accurate measurements of the neutralino pair production processes.

In this article, we investigate the Drell–Yan process of the light neutralino pair (i,j = 1,2) productions at proton-proton collisions and we present the general formulae for the differential cross sections. We conduct an extensive examination of the dependence of the total cross section of the subprocesses 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 on the beam energy is dominated by one of the subprocesses, . On the other hand, the dependence of the total cross section of the subprocesses on the mass of the squarks is dominated by one of the subprocesses, . 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.