Abstract
We study the renormalization group effects on neutrino masses and mixing in Minimal Supersymmetric Standard Model (MSSM) by considering a μ–τ symmetric mass matrix at high energy scale giving rise to Tri-Bi-Maximal (TBM) type mixing. We outline a flavor symmetry model based on A4 symmetry giving rise to the desired neutrino mass matrix at high energy scale. We take the three neutrino mass eigenvalues at high energy scale as input parameters and compute the neutrino parameters at low energy by taking into account of renormalization group effects. We observe that the correct output values of neutrino parameters at low energy are obtained only when the input mass eigenvalues are large |m1,2,3|=0.08–0.12 eV with a very mild hierarchy of either inverted or normal type. A large inverted or normal hierarchical pattern of neutrino masses is disfavored within our framework. We also find a preference towards higher values of tanβ, the ratio of vacuum expectation values (vev) of two Higgs doublets in MSSM in order to arrive at the correct low energy output. Such a model predicting large neutrino mass eigenvalues with very mild hierarchy and large tanβ could have tantalizing signatures at oscillation, neutrino-less double beta decay as well as collider experiments.
Highlights
Exploration of the origin of neutrino masses and mixing has been one of the major goals of particle physics community for the last few decades
In the present analysis we consider the high scale value as the unification scale MR = 1.6 × 1016 GeV, with different tan β input values to check the stability of the model at low energy scale
It is interesting to note that, our analysis shows a preference for very mild hierarchy of either inverted or normal type at high energy scale which produces a very mild hierarchy at low energy
Summary
Exploration of the origin of neutrino masses and mixing has been one of the major goals of particle physics community for the last few decades. Recent neutrino oscillation experiments like T2K [2], Double ChooZ [3], Daya-Bay [4] and RENO [5] have confirmed the earlier predictions for neutrino parameters, and provided strong evidence for a non-zero value of the reactor mixing angle θ13. In view of the importance of the non-zero reactor mixing and CP violation in neutrino sector, the present work demonstrates how a specific μ-τ symmetric mass matrix (giving rise to TBM type mixing) at high energy scale can produce non-zero θ13 along with the desired values of other neutrino parameters ∆m221, ∆m223, θ23, θ12 at low energy scale through renormalization group evolution (RGE).
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