Atmospheric neutrinos can make beauty strange

The large observed mixing angle in atmospheric neutrinos, coupled with grand unification, motivates the search for large mixing between right-handed strange and bottom squarks. Such mixing does not appear in the standard Cabibbo-Kobayashi-Maskawa phenomenology, but may induce significant b⃗s transitions through gluino diagrams. Working in the mass eigenbasis, we show quantitatively that an O(1) effect on CP violation in B_d⁰→φK_S is possible due to a large mixing between s_R and b_R, while still satisfying constraints from b⃗sγ. We also include the effect of b_L-b_R mixing proportional to m_bμtanβ. In the case where m_bμtanβ≪M_SUSY² there may be a large effect in B_s mixing correlated with a large effect in B_d⁰→φK_S, typically yielding an unambiguous signal of new physics at Tevatron run II.