Abstract
Using the recent first lattice results of the RBC-UKQCD collaboration for K → ππ decays, we perform a phenomenological analysis of and find a discrepancy between SM prediction and experiments by ∼ 3σ. We discuss an explanation by new physics. The well-understood value of εK, which quantifies indirect CP violation, however, typically prevents large new physics contributions to . In this talk, we show a solution of the 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 , while the contribution to εK is suppressed thanks to the Majorana nature of gluinos.
Highlights
In order to predict ε′K in the Standard Model (SM), one has to calculate the hadronic matrix elements of four-quark operators with nonperturbative methods
(1.9 ± 4.5) × 10−4 (1.06 ± 5.07) × 10−4 (BGJJ ’15), (KNT ’16). These results are obtained by next-to-leading order (NLO) calculations exploiting CP -conserving data to reduce hadronic uncertainties and include isospin-violating contributions [13] which are not included in the lattice result
It is known that once constraints from the corresponding |∆S| = 2 transition are taken into account, one expects that new physics (NP) effects in a |∆S| = 1 four-quark process are highly suppressed
Summary
Recent progress on CP violation in K → ππ decays in the SM and a supersymmetric solution. - Characterization of all the supersymmetric solutions of gauged ND supergravity Jorge Bellorín and Tomás Ortín. - New ways to soft leptogenesis Yuval Grossman, Tamar Kashti, Yosef Nir et al. View the article online for updates and enhancements. View the article online for updates and enhancements This content was downloaded from IP address 129.13.72.197 on 01/02/2018 at 12:00
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