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.
Highlights
Doubly-charged Higgs bosons (ΔÆÆ) have been predicted by the left-right symmetric models [1,2,3] as the third component of scalar triplets
We have studied the doubly-charged Higgs boson induced lepton number violation processes of Bc meson
Both the three-body decay channels and four-body decay channels are considered. For the former, the largest value of the branching fraction is 9.19 × 10−23, which comes from the Dþs μ−μ− channel
Summary
Doubly-charged Higgs bosons (ΔÆÆ) have been predicted by the left-right symmetric models [1,2,3] as the third component of scalar triplets. If one keeps only this triplet as the new physics beyond the standard model (without introducing the right-handed neutrinos), the Type-II seesaw models [4,5,6,7] are achieved This particle is phenomenologically interesting as it can decay to two same-sign charged leptons which indicates the lepton number violation (LNV). The heavy bosons cannot on the mass shell, their contribution is reflected in effective interaction vertices [10] We notice that the LNV four-body decay processes of heavy mesons with Majorana neutrinos have been extensively studied in theory [20,21,22,23,24], while such processes within the doubly-charged Higgs boson formalism have not been investigated yet.
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