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 \Delta m_{ 12}^2 constrained by SNP and s_{ 23} and \Delta m_{ 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_{ \nu} with no texture zeros. Considering M_l and M_{ \nu} 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_{ \nu} are considered to be complex and non-diagonal.
Categories: hep-ph