Neutrino mass matrices with three or four vanishing cofactors and nondiagonal charged lepton sector

Abstract

We investigate the texture structures of lepton mass matrices with four (five) non-zero elements in the charged lepton mass matrix and three (four) vanishing cofactors in the neutrino mass matrix. Using weak basis transformations, all possible textures for three and four vanishing cofactors in Mν are grouped into 7 classes and predictions for the unknown parameters such as the Dirac CP violating phase and the effective Majorana mass for the phenomenologically allowed textures have been obtained. We, also, illustrate how such texture structures can be realized using discrete Abelian flavor symmetries. * sdev@associates.iucaa.in † raj.physics88@gmail.com ‡

Phenomenology of Trimaximal Mixing with One Texture Equality

“…Several predictive models such as texture zeros , vanishing cofactors [26][27][28][29][30][31][32][33][34][35][36][37], equalities among elements/ cofactors [38,39], and hybrid textures [40][41][42][43][44][45][46] amongst others can explain the presently available neutrino oscillation data, since the presence of texture equalities, just like texture zeros or vanishing cofactors, reduces the number of free parameters in the neutrino mass matrix and, hence, must have a similar predictability as that of texture zeros or vanishing cofactors. In the flavor basis, neutrino mass matrices with one texture equality and two texture equalities have been studied in the literature [38,39].…”