  Using the recent first lattice results of the RBC-UKQCD collaboration for $K
\to \pi\pi$ decays, we perform a phenomenological analysis of
$\epsilon_K^{\prime}/\epsilon_K$ and find a discrepancy between SM prediction
and experiments by $\sim 3\,\sigma$. We discuss an explanation by new physics.
The well-understood value of $\epsilon_K$, which quantifies indirect $CP$
violation, however, typically prevents large new physics contributions to
$\epsilon_K^{\prime}/\epsilon_K$. In this talk, we show a solution of the
$\epsilon_K^{\prime}/\epsilon_K$ discrepancy in the Minimal Supersymmetric
Standard Model with squark masses above 3 TeV without fine-tuning of $CP$
phases. In this solution, the Trojan penguin diagram gives large
isospin-breaking contributions which enhance $\epsilon_K^{\prime}$, while the
contribution to $\epsilon_K$ is suppressed thanks to the Majorana nature of
gluinos.
