Abstract
AbstractThe proceeding delved into the upshot of the interference of lepton number violating (LNV) and lepton number conserving (LNC) three-body meson decays \(M_1^{+}\rightarrow l_i^{+} l_j^{\pm }\pi ^{\mp }\) in the context of a TeV scale Left-Right Symmetric Model (LRSM) with nearly degenerate right handed (RH) neutrinos. The resonant enhancement is possible in the semi-leptonic LNV and LNC meson decays, considering MeV-to-GeV ranged RH neutrinos. With a single RH neutrino, the new physics LNC and LNV branching ratio (BR) are equal. Depending on the neutrino mixing angles and CP violating phases, we substantiate with our results that the former scenario, equal BRs of LNV and LNC decay channels, can be either enhanced or suppressed, and the ratio of these two rates can differ from unity.
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