The LFV decays $B_{d,s}^0\to e\mu (e\tau ,\mu \tau )$ with one neutral singlet scalar

Abstract

Taking account of the constraint from radiative two body decays $l_i\to l_j\gamma$, we investigate the Lepton Flavor Violation decays $B_q^0\to \overline{l_l}{l}_k$ in the framework of the minimal extension of the Standard Model with one neutral singlet scalar. The couplings $C_{e\mu }$, $C_{e\tau }$ and $C_{\mu \tau }$ between the different generation leptons and scalar $S^0$ are constrained by the current bounds of $l_i\to l_j\gamma$. The numerical results show that the theoretical prediction of $B_q^0\to \overline{l_l}{l}_k$ strongly depend on the couplings $C_{qb}$ ($q=dors$) between down type quarks and new scalar. The contributions from couplings $C_{uc}$, $C_{ut}$ and $C_{ct}$ between up type quark and new scalar are less dominant.

Comments: 20 pages,8 figures