Features of Charged Lepton Flavor Violation in an $A_4$ Symmetric Neutrino Mass Model

Abstract

Neutrino flavour oscillations imply that there must be charged lepton flavour violation (CLFV) also. Different neutrino mass models predict different patterns of CLFV decays. Neutrino mass generation through standard see-saw mechanisms leads to the prediction that the branching ratios of meson CLFV decays will always be smaller than the corresponding radiative CLFV decays. In this work, we analyse an interesting neutrino mass model, based on $A_4$ symmetry, in which the symmetry and the symmetry-breaking pattern lead the neutrino mixing matrix to be of tri-bimaximal (TBM) form. In this model, we find that the meson CLFV decay amplitudes are not correlated to the corresponding radiative CLFV amplitudes, unlike in the case of see-saw models. The branching ratios of radiative CLFV decays are predicted to be negligibly small in this model, but those of the meson CLFV decays can be large enough to be observable in the near future.