Impact of a Light Strange-Beauty Squark on B_s Mixing and Direct Search
Abstract
If one has Abelian flavor symmetry, s_R-b_R mixing could be near maximal. This can drive a "strange-beauty" squark (\widetilde{sb}_{1}) to be rather light, but still evade the b\to s\gamma constraint. Low energy constraints imply that all other superpartners are at TeV scale, except for a possibly light neutralino, \widetilde \chi_1^0. Whether light or heavy, the \widetilde{sb}_{1} can impact on the B_s system: \Delta m_{B_s} and indirect CP phase, even for B_s \to \phi\gamma. Direct search is similar to usual \tilde b \to b\widetilde \chi_1^0, but existing bounds are weakened by \widetilde{sb}_{1} \to s\widetilde \chi_1^0 possibility. All these effects could be studied soon at the Tevatron.