Implications of Fritzsch-like lepton mass matrices

Abstract

Using seesaw mechanism and Fritzsch-like texture 6 zero and 5 zero lepton Dirac mass matrices, detailed predictions for cases pertaining to normal/inverted hierarchy as well as degenerate scenario of neutrino masses have been carried out. All the cases considered here pertaining to inverted hierarchy and degenerate scenario of neutrino masses are ruled out by the existing data. For the normal hierarchy cases, the lower limit of m_{\nu 1} and of s_{13} as well as the range of Dirac-like CP violating phase \delta would have implications for the texture 6 zero and texture 5 zero cases considered here.Comment: 13 pages, 4 figures. Small changes to the previous version and a new reference adde

Possible Textures of the Fermion Mass Matrices

“…Similarly, Zhou and Xing [26] also carried out a systematic analysis of all possible texture 6 zero mass matrices for Majorana neutrinos with an emphasis on normal hierarchy of neutrino masses. Recently, [27,28] for all possible hierarchies of neutrino masses, for both Majorana as well as Dirac neutrinos, detailed analyses of Fritzsch-like texture 6, 5 and 4 zero mass matrices was carried out.…”

“…A detailed analysis of texture 6 zero mass matrices have been carried out by several authors [27,32]. In particular, for normal hierarchy of neutrino masses Zhou and Xing [26] have carried out an analysis of all possible Fritzsch as well as non Fritzsch-like texture 6 zero lepton mass matrices.…”

Parallel lepton mass matrices with texture and cofactor zeros

“…Several attempts have been proposed to explain the origin of neutrino mass and the observed pattern of leptonic mixing by introducing the flavor symmetries within the framework of seesaw models [4]. The flavor symmetry often reduces the number of free parameters and leads to the specific structures of fermion mass matrices including texture zeros [5][6][7][8][9], hybrid textures [10,11], zero trace [12], zero determinant [13], vanishing minors [14][15][16], two traceless submatrices [17], equal elements or cofactors [18], inverse hybrid textures [19]. Among these models, the matrices with texture or cofactor zeros are particularly interesting due to their connections to the flavor symmetries.…”

“…However, no universal principle is required that the flavor basis is necessary and the more general cases should be considered in no diagonal M l basis. In this scenario, the lepton mass matrices with texture zeros in both lepton mass M l and neutrino mass matrix M ν have been systematically investigated by many authors [7,8](for a review, see [9]). …”

“…Although the parallel texture zero structures has been explored extensively [7][8][9], the analysis of the no-parallel two texture zero structure has not yet been reported. On the other hand, as having been pointed out in Ref.…”