Description
The occurrence of neutrino oscillations demands the existence of flavour violation in charged lepton sector. The relation between the branching ratios of different
charged lepton flavour violating (CLFV) decay modes depends on the details of the neutrino mass model. In this work, we consider the three types of simple seesaw mechanisms
of neutrino masses and study the correlation between the radiative CLFV decays and the
meson CLFV decays. We find that the meson CLFV decay branching ratios are negligibly
small in type-II seesaw mechanism whereas they are constrained to be at least three (two)
orders of magnitude smaller than the radiative CLFV decay branching ratios in the case
of type-I (type-III) seesaw mechanism. Thus the relationship between these two modes
of CLFV decays helps in distinguishing between different types of seesaw mechanism. If,
the branching ratios of CLFV decays of mesons are larger than those of radiative CLFV
decays, it provides a strong hint that the neutrino mass generating mechanism is more
complicated than simple seesaw.
