Like-sign dimuon asymmetry of B0 meson and LFV in SU(5) SUSY GUT with S4 flavor symmetry

The like-sign dimuon charge asymmetry of the $B$ meson, which was reported in the D$\text{O}$ Collaboration, is studied in the SU(5) SUSY GUT model with $S_4$ flavor symmetry. Additional CP violating effects from the squark sector are discussed in $B_s-{\bar{B}}_s$ mixing process. The predicted like-sign charge asymmetry is in the 2$\sigma$ range of the combined result of D$\text{O}$ and CDF measurements. Since the SUSY contributions in the quark sector affect to the lepton sector because of the SU(5) GUT relation, two predictions are given in the leptonic processes: (i) both $\mathrm{B}\mathrm{R}(\mu \to e\gamma )$ and the electron EDM are close to the present upper bound, (ii) the decay ratios of $\tau$ decays, $\tau \to \mu \gamma$ and $\tau \to e\gamma$, are related to each other via the Cabibbo angle ${\lambda }_c$: ${\rm BR}(\tau \to e\gamma)/{\rm BR}(\tau \to \mu\gamma)\sime \lambda_c^2$. These are testable at future experiments.