Implications of Precision Measurements on Texture Specific Fermion Mass Matrices

Abstract

Implications of texture specific mass matrices have been investigated for both quarks and neutrinos. Interestingly, for the case of quarks Fritzsch-like texture 4 zero mass matrices have been found to be compatible with the present precisely known sin 2β as well as other precise CKM matrix elements. In the case of leptonic mass matrices, for both Majorana and Dirac neutrinos we find that for texture 4, 5, 6 zero mass matrices the inverted hierarchy and degenerate scenarios of neutrino masses are ruled out by the present data.

Quark flavor mixings from hierarchical mass matrices

“…As a consequence of texture zeros [32][33][34][35][36][37][38][39][40][41][42], a few simple but instructive relations among flavor mixing angles and quark mass ratios can be established [34,36,[43][44][45][46][47][48][49] and tested in experiments. Unfortunately, the Fritzsch ansatz failed to reconcile a large top-quark mass with the observed value of |V cb | [50,51].…”

2-zeroes texture and the Universal Texture Constraint

“…To search the set of parameters that satisfy the cost function criteria (36), it is necessary to implement a specific search technique and, in this area, it is common to use exhaustive search techniques which work very well for optimization of small number of parameters (6-textures, 5-textures, 4-textures) and assuming certain simplifying conditions [26,27]. On the other hand, if we implement traditional optimization techniques like the gradient method, Davidon-Fletcher-Powell method or Newton method, great difficulties ensue because the nonlinear dependence among the quantities (O matrix elements) in general leads to convergence problems.…”

Exploring the predictability of symmetric texture zeros in quark mass matrices

“…This new structure, also referred to as Fritzsch-like texture four zero was later pursued in [15,36,[53][54][55][56][57][58] and was observed to offer a promising explanation for observed flavor mixing both in the quark as well as the lepton sectors [15,55,[59][60][61][62][63][64][65][66][67]. Initial observations on the non-viability of this structure on account of sin2β predictions in [42] were investigated [68,69] to establish that these matrices must involve two non-trivial phases in the quark mass matrices to account for observed CP-violation in the quark sector but predicted the following relation for the Cabibbo angle and quark mass ratios…”