Minimal modifications to the Tri-Bimaximal neutrino mixing

Abstract

Abstract In light of the observation of a relatively large θ 13, the ever popular Tri-Bimaximal (TBM) neutrino mixing which predicts a vanishing θ 13 needs modifications. In this paper, we shall discuss the possibility of modifying it in a minimal way to fulfil this task. In the first part, a neutrino mass matrix with three independent parameters, which leads to the TM2 mixing, is obtained by analogy with that for the TBM mixing. In the second part, a model that can realize the TM2 mixing is constructed with flavor symmetries A 4 × U(1) × Z 2 × Z 2 × Z 2. It is the variant of a model that gives the TBM mixing, with only one more flavon field included. Furthermore, the imaginary vacuum expectation value (VEV) of this flavon breaks the imposed CP symmetry and results in θ 23 = 45° and the maximal CP violation. Besides, this model building approach can be generalized to the TM1 mixing in a straightforward way.