Manmohan Gupta

Flavor mixings and textures of the fermion mass matrices

A comprehensive review of several aspects of fermion mixing phenomenon and texture specific mass matrices have been presented. Regarding fermion mixings, implications of unitarity and certain new developments for the CKM paradigm have been discussed. In the leptonic sector, the question of possibility of CP violation has been discussed in detail from the unitarity triangle perspective. In the case of texture specific mass matrices, the issues of viability of Fritzsch-like as well as non-Fritzsch-like mass matrices have been detailed for both the quark and leptonic sectors. The relationship of textures, naturalness and weak basis rotations has also been looked into. The issue of the compatibility of texture specific mass matrices with the SO(10)-based GUT mass matrices has also been discussed.

Texture 4 zero Fritzsch-like lepton mass matrices

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 (

Implications of Fritzsch-like lepton mass matrices

{M}_{\ensuremath{\nu}D}

Chiral quark model with configuration mixing

), 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

Neutrino mass matrices with one texture zero and a vanishing neutrino mass

3\ensuremath{\sigma}

Texture specific mass matrices with Dirac neutrinos and their implications

C.L. for both Majorana and Dirac neutrinos. For normal hierarchy, Jarlskogs rephasing invariant parameter

Near Maximal Atmospheric Neutrino Mixing in Neutrino Mass Models with Two Texture Zeros

J

SU(4) chiral quark model with configuration mixing

, the

Possible textures of the fermion mass matrices

CP

Implications of texture 4 zero lepton mass matrices for U e 3

violating Dirac-like phase