Atmospheric Neutrinos Can Make Beauty Strange

The large observed mixing angle in atmospheric neutrinos, coupled with Grand Unification, motivates the search for a large mixing between right-handed strange and bottom quarks. Such mixing does not appear in the standard CKM phenomenology, but may induce significant b → s transitions through gluino diagrams. Working in the mass eigenbasis, we show quantitatively that an Ο(1) effect on CP violation in Bd0 → ψKS is possible due to a large mixing between (tilde s)R and (tilde b)R, while still satisfying constraints from b → sγ. We also include the effect of (tilde b)L-(tilde b)R mixing proportional to mbμ tan β. In the case where mbμ tan β << MSUSY2 there may be a large effect in Bs mixing correlated with a large effect in Bd0 → ψKS, typically ΔMBs ∼> 100 ps-1, an unambiguous signal of new physics at Tevatron Run II