Prospects of charged lepton flavor violation in very special relativity

Abstract

Within very special relativity (VSR), neutrino mass term is non-local, Lorentz violating and does not need additional new fields beyond the standard model (SM). We can extend the SM by adding such VSR invariant mass terms for all the fermions. Gauging VSR mass term for standard model fermions induce charge lepton flavor violating (CLFV) processes, e.g., $$\mu \rightarrow e \gamma $$ , $$\mu \rightarrow eee$$ , and $$\tau \rightarrow \mu \mu \mu $$ , etc., which are absent in the SM at the tree level. We develop a procedure to calculate the three-body decay process for VSR framework and apply it to calculate the branching ratio of various CLFV processes. We also have revisited $$(g-2)_ \ell $$ in the context of VSR that put stringent constraint over the same flavor fermion photon interaction.