Implications of texture 4 zero lepton mass matrices for U_{e3}

Abstract

Lepton mass matrices similar to texture 4 zero quark mass matrices, known to be quite successful in explaining the CKM phenomenology, have been considered for finding the mixing matrix element U_{e3} (\equiv s_{13}) respecting the CHOOZ constraint, with s_{12} and Δm_{12}^2 constrained by SNP and s_{23} and Δm_{23}^2 constrained by ANP. Taking charged lepton mass matrix M_l to be diagonal, we find that the ranges of s_{13} corresponding to different SNP solutions very well include the corresponding values of s_{13} found by Akhmedov et al. by considering neutrino mass matrix M_ν with no texture zeros. Considering M_l and M_ν both to be real and non-diagonal, s_{13} ranges for the four SNP solutions come out to be: \sim 0-0.19 (LMA), 0.038-0.093 (SMA), 0.042-0.095 (LOW), 0.038-0.096 (VO) which remain of the same order when M_l and M_ν are considered to be complex and non-diagonal.

13 pages, LaTeX

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Cited by in corpus (14)

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• Neutrino mass matrices with one texture zero and a vanishing neutrino mass
• Stability of Texture Zeros under Radiative Corrections in See-Saw Models
• Texture specific mass matrices with Dirac neutrinos and their implications
• Possible textures of the fermion mass matrices
• Exploring the parameter space of texture 4 zero quark mass matrices
• Implications of CP asymmetry parameter sin2beta on structural features of texture specific mass matrices
• Investigating non-Fritzsch like texture specific quark mass matrices
• Seesaw mechanism with four texture zeros in the neutrino Yukawa matrix
• Implications of theta_13 on Fritzsch-like lepton mass matrices
• Leptonic mixing angle ${\theta }_{13}$ and ruling out of minimal texture for Dirac neutrinos
• Investigating texture six zero lepton mass matrices