GUT relation in neutrino-induced flavor physics in SUSY SU(5) GUT

In the SUSY SU(5) GUT with the right-handed neutrinos, the neutrino Yukawa coupling induces the flavor-violating mass terms for the right-handed down squarks and left-handed sleptons, and they lead to imprint on the flavor physics in the hadronic and leptonic sectors. In this Letter we study CP violation in Bd0 and Bs0, which is induced by the tau-neutrino Yukawa coupling. In particular, we notice the correlation of the CP asymmetries in Bd0→φKs (SφKs) and Bs0→J/ψφ (SJ/ψφ) with other observables, such as Br(τ→μγ), the muon EDM (dμ), and the mixing-induced CP asymmetry in Bd0→Ms0γ (Absg), since they have a common origin of the CP and flavor violation. The measurements are expected to play a significant role for consistency check of the SUSY SU(5) GUT. The hierarchical right-handed neutrino masses make the correlation better. We find that the current bound on Br(τ→μγ) constrains the allowed region for SφKs in this model.