Probing the SUSY with $10$ TeV stop mass in rare decays and CP violation of Kaon

Understand

We probe the SUSY at the $10 \ {\rm TeV}$ scale in the rare decays and the CP violation of the kaon.

• We focus on the processes of $K_L \to \pi^0 \nu{\bar \nu}$ and $K^+ \to \pi^+ \nu{\bar \nu}$ combined with the CP violating parameters $\epsilon_K$ and $\epsilon_K^\prime/\epsilon_K$.
• The Z-penguin mediated by the chargino loop cannot enhance $K_L \to \pi^0 \nu{\bar \nu}$ and $K^+ \to \pi^+ \nu{\bar \nu}$ 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 $K_L \to \pi^0 \nu {\bar \nu}$ and $K^+ \to \pi^+ \nu {\bar \nu}$.