Flavor-Change with Ultra-Light Sbottom and Gluinos

Abstract

Implications of a 2 - 5.5 GeV sbottom and 12 - 16 GeV gluino masses for rare B decay phenomenology are discussed. An effective Hamiltonian is constructed in which the gluinos are integrated out and a \tilde{b} squark remains among the light flavor degrees of freedom. Restrictive constraints come from $b \to s \gamma and b \to sg, but they allow a substantially enhanced inclusive b decay rate into charmless hadronic final states, and {\cal O}(10%) direct CP asymmetries in $B \to X_s \gamma and B^\pm \to K^0 \pi^\pm decays, which are an order of magnitude larger than in the Standard Model. New contributions to B_s mixing are negligible but significant effects in B_d mixing may be possible.