Exploring flavor structure of supersymmetry breaking from rareBdecays and the unitarity triangle

Abstract

We study effects of supersymmetric particles in various rare B decay processes as well as in the unitarity triangle analysis. We consider three different supersymmetric models, the minimal supergravity, $\mathrm{SU}(5)$ SUSY GUT with right-handed neutrinos, and the minimal supersymmetric standard model with $U(2)$ flavor symmetry. In the $\mathrm{SU}(5)$ SUSY GUT with right-handed neutrinos, we consider two cases of the mass matrix of the right-handed neutrinos. We calculate direct and mixing-induced CP asymmetries in the $\stackrel{\ensuremath{\rightarrow}}{b}s\ensuremath{\gamma}$ decay and CP asymmetry in ${B}_{d}\ensuremath{\rightarrow}\ensuremath{\varphi}{K}_{S}$ as well as the ${B}_{s}--{B}_{s}$ mixing amplitude for the unitarity triangle analysis in these models. We show that large deviations are possible for the $\mathrm{SU}(5)$ SUSY GUT and the $U(2)$ model. The patterns and correlations of deviations from the standard model will be useful to discriminate the different SUSY models in future B experiments.