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

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 $A_{\text{CP}}^{b\to s\gamma }$, ${\mathcal{S}}_{\varphi K_S}$ and ${\mathcal{S}}_{{\eta }^{\prime }{K}^0}$ 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.

Comments: 12 pages, 8 figures. arXiv admin note: text overlap with arXiv:1202.0486