Probing SUSY with 10 TeV stop mass in rare decays and CP violation of kaon

Abstract

We probe SUSY at the 10 TeV scale in the rare decays and CP violation of kaon. We focus on the processes of KL → π0νν¯ and K+ → π+νν¯, combined with the CP-violating parameters K and K /K. The Z-penguin mediated by the chargino loop cannot enhance KL → π0νν¯ and K+ → π+νν¯ because the left–right mixing of the stop is constrained by the 125 GeV Higgs mass. On the other hand, the Z-penguin mediated by the gluino loop can enhance the branching ratios of both KL → π0νν¯ and K+ → π+νν¯. The former increases up to more than 1.0 × 10−10, which is much larger than the SM prediction even if the constraint of K is imposed. It is remarkable that the Z-penguin mediated by the gluino loop can simultaneously enhance K /K and the branching ratio of KL → π0νν¯, which increases up to 1.0 × 10−10. We also study the decay rates of KL → μ+μ−, B0 → μ+μ−, and Bs → μ+μ−, which correlate with the KL → π0νν¯ decay through the Z-penguin. It is important to examine the B0 → μ+μ− process since we expect enough sensitivity of this decay mode to SUSY at LHCb.