Form Invariance and Symmetry in the Neutrino Mass Matrix

Abstract

We present the general form of the unitary matrices keeping invariant the Majorana neutrino mass matrix of specific texture suitable for explaining oscillation data. In the case of the Tri-bimaximal pattern with two degenerate masses we give a specific realization of the underlying $U(1)$ symmetry which can be uplifted to a symmetry in a complete theory including charged leptons. For this, we present a model with three light SM-like Higgs doublets and one heavy Higgs triplet and find that one can accommodate the hierarchy of the charged lepton masses. The lepton mass spectrum can also be achieved in another model extending the SM with three SM-singlet scalars transforming non trivially under the flavor symmetry. We discuss how such a model has room for generating enough baryon asymmetry through leptogenesis in the framework of Type-I and II seesaw mechanisms.

16 pages

References in corpus (9)

• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• Large U_{e3} and Tri-bimaximal Mixing
• One-loop renormalization group equations of the neutrino mass matrix in the triplet seesaw model
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Connecting Leptogenesis to CP Violation in Neutrino Mixings in a Tri-bimaximal Mixing model
• An approach to permutation symmetry for the electroweak theory
• Minimal supergravity radiative effects on the tri-bimaximal neutrino mixing pattern

Cited by in corpus (2)

• Neutrino mass determination from a four-zero texture mass matrix
• Neutrino Mixing and Leptogenesis in $\mu -\tau$ Symmetry