Texture 4 zero Fritzsch-like lepton mass matrices

Abstract

For Majorana or Dirac neutrinos, using Fritzsch-like texture 4 zero mass matrices with parallel texture structures for the charged leptons and the Dirac neutrino mass matrix (${M}_{\ensuremath{\nu}D}$), detailed predictions for cases pertaining to normal/inverted hierarchy as well as degenerate scenarios of neutrino masses have been carried out. The inverted hierarchy as well as degenerate scenarios seem to be ruled out at $3\ensuremath{\sigma}$ C.L. for both Majorana and Dirac neutrinos. For normal hierarchy, Jarlskog's rephasing invariant parameter $J$, the $CP$ violating Dirac-like phase $\ensuremath{\delta}$, and the effective neutrino mass $⟨{m}_{ee}⟩$ have been calculated. For this case, lower limits of ${m}_{{\ensuremath{\nu}}_{1}}$ and ${\ensuremath{\theta}}_{13}$ would have implications for the nature of neutrinos.