Study of Chargino-Nutralino Pair Production like Higgsinos and Gauginos at The LHC with Three Leptons Final State and Missing Transverse Momentum

The calculation of chargino-nutralino pair production at the LHC with √s = 14 TeV had been studied. Different benchmark points are evaluated for the chargino-nutralino pair production using MSSM for four conditions on mass parameters. The results were compared with the latest data recorded by the LHC at √(s) = 8, 13, 14 TeV for pp collisions. In the minimal supersymmetric extension of the SM (MSSM) the mass parameters for the bino, wino, and higgsino states represented by M1, M2, and μ. Our results depend on the nature of the chargino-nutralino pair production and its masses. In case of light higgsino like sleptons the total cross section produced at small x, while for gauginos like s-quarks produced at large x due to the fact that gaugino constrained by CMS and ATLAS as heavier than 1 TeV. Assuming that the lightest supersymmetric particle (LSP) x ̃_1^0 is stable with R-parity conservation, it is a well-motivated to viable dark-matter candidate. Two scenarios of chargino-nutralino pair production are considered in this search. The first scenario Gaugino like with two conditions on the wino-bino and higgsino mass parameters [(M1 < M2 < μ) and (M1 < M2 < −μ)]. The second scenario Higgsino like with two conditions on the wino-bino and higgsino mass parameters [(M1 < −μ < M2) and (−μ < M1 < M2)]. Also, the effect of the sign and value of μ on the total cross sections for higgsinos and gauginos was represented. Nada Ezzelarab et al. J. Sci. Res. Sci., 2022, 39, (1): 31-46