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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$Ø$ 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$σ$ range of the combined result of D$Ø$ 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 ${\rm BR}(μ\to e γ)$ and the electron EDM are close to the present upper bound, (ii) the decay ratios of $τ$ decays, $τ\to μγ$ and $τ\to e γ$, are related to each other via the Cabibbo angle $λ_c$: ${\rm BR}(τ\to eγ)/{\rm BR}(τ\to μγ)\sime λ_c^2$. These are testable at future experiments.