Recent progress on CP violation in $K\to \pi \pi$ decays in the SM and a supersymmetric solution

Abstract

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.

6 pages, 4 figures; Contribution to proceedings of KAON 2016 conference, Birmingham, UK, 14-17 September 2016

References in corpus (2)

• Supersymmetric Explanation of CP Violation in $K\to \pi \pi$ Decays
• Do squarks have to be degenerate? Constraining the mass splitting with Kaon and D mixing