Effects of supersymmetric CP violating phases on B \to X_s l^+ l^- and \epsilon_K

TL;DR

This paper investigates how CP violating phases in supersymmetric parameters affect B meson decays and kaon CP violation, finding significant enhancements in decay rates and constraints on supersymmetric CP violation.

Contribution

It provides a detailed analysis of supersymmetric CP phases' effects on B decay processes and \\epsilon_K, including parameter space scans with experimental constraints.

Findings

Br(B\to X_s l^+ l^-) can be enhanced by up to 85% over SM

Correlation between Br(B\to X_s l^+ l^-) and Br(B\to X_s \gamma) differs from minimal supergravity

Supersymmetric CP violation in K_L \to \pi \pi is limited, with |_K^{\rm SUSY}| \lesssim 10^{-5}

Abstract

We consider effects of CP violating phases in \mu and A_t parameters in the effective supersymmetric standard model on B\to X_s l^+ l^- and \epsilon_K. Scanning over the MSSM parameter space with experimental constraints including edm constraints from Chang-Keung-Pilaftsis (CKP) mechanism, we find that the Br(B\to X_s l^+ l^-) can be enhanced by upto \sim 85 % compared to the standard model (SM) prediction, and its correlation with Br(B \to X_s \gamma) is distinctly different from the minimal supergravity scenario. Also we find 1 \lesssim \epsilon_K / \epsilon_K^{SM} \lesssim 1.4, and fully supersymmetric CP violation in K_L \to \pi \pi is not possible. Namely, |\epsilon_K^{\rm SUSY}| \lesssim O(10^{-5}) if the phases of \mu and A_t are the sole origin of CP violation.