The μ − τ reflection symmetry breaking in a B − L model with T7 × Z8 × Z2 symmetry

Abstract

We suggest a neutrino mass matrix texture satisfying the $\mu -\tau$ reflection symmetry in a $B-L$ model with $T_7$ symmetry by introducing additional singlet scalars and invoking the Type-I seesaw mechanism in which the hierarchical patterns of charged lepton and neutrino masses and of lepton mixing are addressed. The Dirac and Majorana mass matrices hint for a realistic lepton mixing pattern in which the $\mu -\tau$ symmetry is broken by the contribution from the charged lepton sector. Explicit relations between the Yukawa-like couplings and the observed neutrino oscillation parameters are established. The Yukawa-like couplings in the charged-lepton sector are expressed in terms of three charged lepton masses whereas the Yukawa-like couplings in the neutrino sector are expressed in terms of three observed neutrino mixing angles, two neutrino mass-squared splittings and the lightest neutrino mass, whose magnitudes are in the same order. The considered model is satisfied for both normal and inverted neutrino mass hierarchies and for both lower and higher octants in the light of the recent experimental data.