Low scale Seesaw model and Lepton Flavor Violating Rare B Decays

Abstract

We study lepton flavor number violating rare B decays, $b\to s{l}_h^{\pm }{l}_l^{\mp }$, in a seesaw model with low scale singlet Majorana neutrinos motivated by the resonant leptogenesis scenario. The branching ratios of inclusive decays $b\to s{l}_h^{\pm }{\overline{l_l}}^{\mp }$ with two almost degenerate singlet neutrinos at TeV scale are investigated in detail. We find that there exists a class of seesaw model in which the branching fractions of $b\to s\tau \mu$ and $\tau \to \mu \gamma$ can be as large as $10^{-10}$ and $10^{-9}$ within the reach of Super B factories, respectively, without being in conflict with neutrino mixings and mass squared difference of neutrinos from neutrino data, invisible decay width of $Z$ and the present limit of $Br(\mu \to e\gamma )$.

Comments: 19 pages, 6 figures