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

Abstract

Taking account of the constraint from radiative two body decays $l_i\rightarrow l_j\gamma$, we investigate the Lepton Flavor Violation decays $B^0_q\rightarrow\bar{l_l}l_k$ 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 $l_i\rightarrow l_j\gamma$. The numerical results show that the theoretical prediction of $B^0_q\rightarrow\bar{l_l}l_k$ strongly depend on the couplings $C_{qb}$ ($q=d\;or\; s$) 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.