A complete survey of texture zeros in the lepton mass matrices

Abstract

We perform a systematic and complete analysis of texture zeros in the lepton mass matrices and identify all viable and maximally restrictive cases of pairs (M , M D ) and (M , M L ), where M , M D and M L are the charged-lepton, Dirac neutrino and Majorana neutrino mass matrices, respectively. To this end, we perform a thorough analysis of textures which are equivalent through weak-basis permutations. Furthermore, we introduce numerical measures for the predictivity of textures and apply them to the viable and maximally restrictive texture zero models. It turns out that for Dirac neutrinos these models can at most predict the smallest neutrino mass and the CKM-type phase of the mixing matrix. For Majorana neutrinos most models can, in addition, predict the effective neutrino mass for neutrinoless double beta decay.

Mu-tau reflection symmetry with a texture-zero

“…The most general cases of texture-zeros has been analyzed recently in ref. [33] where generic texture-zeros are required for the mass matrices of both charged leptons and neutrinos. These cases include the well-studied parallel structures where both mass matrices have the same texture-zeros [34][35][36][37][38].…”

Implications of δlCP~270° and Verma1 2016Advances in High Energy Physics5040View full textAdd to dashboardCite

“…Furthermore, the condition of naturalness forbids a texture zero at (33) matrix elements. Recent works [53][54][55][56] in this regard suggest that there exist several viable texture structures of lepton mass matrices. Most of these investigations work in the flavor basis with diagonal charged-lepton mass matrix or enforce parallel texture structures for lepton mass matrices and ] .…”

Probing texture zeros with scaling ansatz in inverse seesaw

“…Our goal in this work is to find out a phenomenologically viable texture of m D and µ with minimum number of parameters or equivalently maximum number of zeros. We bring together two theoretical ideas to find out a minimal texture and they are i) Scaling ansatz [17][18][19][20][21][22][23][24][25][26][27], ii) Texture Zeros [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”