Neutrino Mixing based on Mass Matrices with a $2\leftrightarrow 3$ Symmetry

Abstract

Under the assumption that the $2\leftrightarrow 3$ symmetry is broken only through phases, we give a systematical investigation of possible lepton mass matrix forms without referring to the explicit parameter values. The two types of the $2\leftrightarrow 3$ symmetry are investigated: one is that the left- and right-handed fields $(f_L,f_R)$ obey the symmetry, and another one is that only $f_L$ obeys the symmetry. In latter case, in spite of no $2\leftrightarrow 3$ symmetry in the Majorana mass matrix $M_R$ for ${\nu }_R$, the neutrino seesaw mass matrix still obey the $2\leftrightarrow 3$ symmetry. Possible phenomenologies are discussed.

12 pages, title and conclusions modified

References in corpus (2)

• Grand unification of $\mu -\tau$ Symmetry
• Fermion masses and mixings in a renormalizable SO(10) x Z_2 GUT

Cited by in corpus (9)

• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Normal versus inverted hierarchical models within $\mu -\tau$ symmetry
• The Possible Textures in the Seesaw Realization of the Strong Scaling Ansatz and the Implications for Thermal Leptogenesis
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Thermal and non-thermal leptogenesis in different neutrino mass models with tribimaximal mixings
• Degenerate neutrino mass models revisited
• Flavour leptogenesis with tribimaximal mixings and beyond
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry