Doubly-charged scalar in rare decays of $B_c$ meson

Abstract

In this paper, we study the lepton number violation processes of $B_c$ meson induced by possible doubly-charged scalars. Both the three-body decay channels and the four-body decay channels are considered. For the former, $Br\times {\left(\frac{s_{\Delta }{h}_{ij}}{M_{\Delta }^2}\right)}^{-2}$ is of the order of $10^{-7}\sim 10^{-9}$, and for the later channels, $Br\times {\left(\frac{s_{\Delta }{h}_{ij}}{M_{\Delta }^2}\right)}^{-2}$ is of the order of $10^{-12}\sim 10^{-20}$, where $s_{\Delta }$, $h_{ij}$, $M_{\Delta }$ are the constants related to the doubly-charged boson.

Comments: 15 pages, 2 figures