Investigation of chargino pairs in Stau-Neutralino annihilation scenario at the future colliders

One of the theories which attracted much attention for the new physics is the Supersymmetry. It explains the strong and the electroweak interactions from the grand unification scale down to the weak-scale. The last missing piece in the Standard Model, the Higgs boson, is discovered at the LHC, but there is no clue for any of the supersymmetric particles so far. The number of free parameters and the region for the supersymmetry is quite large, and it is highly probable that LHC could not get any hint of these sparticles. In this study, the chargino pair production via electron-positron and photon-photon collisions are studied in the context of the Stau-Neutralino annihilation scenario. This scenario is proposed after the negative results presented by the LHC. The calculation is carried out for all the possible one loop diagrams. The production cross section as a function of the collision energy is presented. The partonic cross section reaches up to 1.2 pb at the tree level, and the NLO correction reduces the cross section up to 19%. Employing this benchmark model for the chargino pair production shows the potential of the future lepton-lepton and photon-photon colliders regarding the searches of the supersymmetry.