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

TL;DR

This paper investigates lepton number violating decays of the $B_c$ meson caused by hypothetical doubly-charged scalars, analyzing decay channels and estimating branching ratios under various parameter assumptions.

Contribution

It provides the first detailed analysis of $B_c$ meson decays induced by doubly-charged scalars, including both three- and four-body decay channels and their expected branching ratios.

Findings

Branching ratios for three-body decays are around 10^{-7} to 10^{-9}.

Branching ratios for four-body decays are around 10^{-12} to 10^{-20}.

Decay rates depend on parameters $s_\Delta$, $h_{ij}$, and $M_\Delta$.

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.