We study the effects of breaking S 3 symmetry in the neutrino mass matrix for the masses and mixing matrix of neutrinos. At zeroth order the model gives degenerate neutrino masses and accommodates tribimaximal mixing. We introduce perturbations in terms of a small and complex parameter. The perturbations are introduced in a manner such that the S 3 symmetry is broken by its elements in the same representation. Successive perturbations introduce mass splitting, sizable non-zero reactor mixing angle and CP violation. This scheme of breaking S 3 symmetry can reproduce a relatively large reactor mixing angle as suggested by the recent T2K results. The effective neutrino mass is predicted to be large which is testable in the ongoing and forthcoming neutrinoless double beta decay experiments.
IntroductionAfter the discovery of neutrino oscillations, there has been considerable progress in determining the values of the neutrino mass-squared differences and the mixing angles which relate the neutrino mass eigenstates to the flavor eigenstates. Recently, T2K [1], MINOS [2] and Double Chooz [3] experiments have given hints of a relatively large 1-3 mixing angle. This has given a fresh impetus to the construction of neutrino mass models which can accommodate a non-zero value of θ 13 . Recently many papers have appeared which reproduce the * dev5703@yahoo.com †