Consistency of perturbed tribimaximal, bimaximal and democratic mixing with neutrino mixing data

Sumit K Garg

doi:10.1016/j.nuclphysb.2018.04.022

Abstract

We scrutinize corrections to tribimaximal (TBM), bimaximal (BM) and democratic (DC) mixing matrices for explaining recent global fit neutrino mixing data. These corrections are parameterized in terms of small orthogonal rotations (R) with corresponding modified PMNS matrices of the forms (Rijl⋅U,U⋅Rijr,U⋅Rijr⋅Rklr,Rijl⋅Rkll⋅U) where Rijl,r is rotation in ij sector and U is any one of these special matrices. We showed that for perturbative schemes dictated by single rotation, only (R12l⋅UBM,R13l⋅UBM,UTBM⋅R13r) can fit the mixing data at 3σ level. However for Rijl⋅Rkll⋅U type rotations, only (R23l⋅R13l⋅UDC) is successful to fit all neutrino mixing angles within 1σ range. For U⋅Rijr⋅Rklr perturbative scheme, only (UBM⋅R12r⋅R13r,UDC⋅R12r⋅R23r,UTBM⋅R12r⋅R13r) are consistent at 1σ level. The remaining double rotation cases are either excluded at 3σ level or successful in producing mixing angles only at 2σ−3σ level. We also updated our previous analysis on PMNS matrices of the form (Rij⋅U⋅Rkl) with recent mixing data. We showed that the results modifies substantially with fitting accuracy level decreases for all of the permitted cases except (R12⋅UBM⋅R13,R23⋅UTBM⋅R13 and R13⋅UTBM⋅R13) in this rotation scheme.

Highlights

The Standard Model(SM) which governs the dynamics of interactions between fundamental particles contain massless neutrinos
The atmospheric mixing angle(θ23) is maximal in TBM and BM scenarios while it takes the larger value of 54.7 ◦ for DC mixing
We studied the role of various perturbative schemes in producing large θ13 [14] and fitting other mixing angles

Summary

Introduction

The Standard Model(SM) which governs the dynamics of interactions between fundamental particles contain massless neutrinos. These results goes in well agreement with other oscillation experiments like Double Chooz [3], Minos [4] and RENO [5] It is evident from recent global fit [12, 13] for neutrino masses and mixing angles (given in Table 2) that these mixing scenarios can’t be taken at their face value and should be investigated for possible perturbations. We leave the discussion of corrections coming from non zero CP phase for future discussions These results can help in understanding the structure of corrections that these well known mixing scenarios require in order to be consistent with neutrino mixing data.

General Setup

Numerical Results

Summary and Conclusions

Summary