Seesaw invariance of Fritzsch-like neutrino mass matrices, leptogenesis and lepton–flavor violation

Abstract

We propose a simple ansatz for neutrino phenomenology, in which the relevant lepton mass matrices take the universal Fritzsch-like form and the seesaw relation holds under a particular condition. There exist six textures of this nature, but their consequences on neutrino oscillations are exactly the same. We show that our scenario is viable to account for the cosmological baryon number asymmetry via thermal leptogenesis. Its predictions for the lepton–flavor-violating decays μ→eγ, τ→μγ and τ→eγ are also presented. We find that the branching ratios of these rare processes depend strongly upon the phase parameters responsible for leptogenesis and for leptonic CP violation in neutrino oscillations.