Knitting neutrino mass textures with or without Tri-Bi maximal mixing

Abstract

The solar and baseline neutrino oscillation data suggest bimaximal neutrino mixing among the first two generations, and trimaximal mixing between all three neutrino flavors. It has been conjectured that this indicates the existence of an underlying symmetry for the leptonic fermion mass textures. The experimentally measured quantities however, are associated to the latter indirectly and in a rather complicated way through the mixing matrices of the charged leptons and neutrinos. Motivated by these facts, we derive exact analytical expressions which directly link the charged lepton and neutrino mass and mixing parameters to measured quantities and obtain constraints on the parameter space. We discuss deviations from Tri-Bi mixing matrices and present minimal extensions of the Harrison Perkins and Scott matrices capable of interpreting all neutrino data.

17 pages, expanded version, to appear in PLB

References in corpus (7)

• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Neutrino Majorana Masses from String Theory Instanton Effects
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The Unique Horizontal Symmetry of Leptons
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• The Weinberg Operator and a Lower String Scale in Orientifold Compactifications