Direct CP violation of $b \rightarrow s\gamma$ and CP asymmetries of non-leptonic B decays in squark flavor mixing

TL;DR

This paper investigates how squark flavor mixing influences CP violation in b to s gamma decays and non-leptonic B decays, providing predictions for CP asymmetry correlations to test supersymmetric flavor models.

Contribution

It introduces a framework linking squark flavor mixing to CP violation in B decays and predicts correlations among CP asymmetries for experimental verification.

Findings

Constraints on squark mixing from b to s gamma data

Predicted correlations among CP asymmetries in B decays

Potential tests for supersymmetric flavor models

Abstract

We study the contribution of the squark flavor mixing from the $LR(RL)$ component of the squark mass matrices to the direct CP violation of the $b\to s\gamma$ decay and the CP-violating asymmetry in the non-leptonic decays of $B$ mesons. The magnitude of the $LR(RL)$ component is constrained by the branching ratio and the direct CP violation of $b\to s\gamma$. We predict the correlation of the CP asymmetries among $A_{\text{CP}}^{b \to s \gamma}$, $\mathcal{S}_{\phi K_S}$ and $\mathcal{S}_{\eta 'K^0}$ of the B decays. The precise data of these CP violations will give us the crucial test for our framework of the squark flavor mixing.