2014/08/31 by Manikanta Borah, Debasish Borah, Mrinal Kumar Das +1
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1103/physrevd.90.095020
v2: Added references, to appear in Phys. Rev. D. arXiv admin note: text overlap with arXiv:1403.7636, arXiv:1303.1758
arxiv created 2014/10/17 · arxiv updated 2015/06/22
We study the possibility of generating non-zero reactor mixing angle θ13 by perturbing the μ-τ symmetric neutrino mass matrix. The leading order μ-τ symmetric neutrino mass matrix originates from type I seesaw mechanism whereas the perturbations to μ-τ symmetry originate from type II seesaw term. We consider four different realizations of μ-τ symmetry: Bimaximal Mixing(BM), Tri-bimaximal Mixing (TBM), Hexagonal Mixing (HM) and Golden Ratio Mixing (GRM) all giving rise to θ13 = 0, θ23 = \fracπ4 but different non-zero values of solar mixing angle θ12. We assume a minimal μ-τ symmetry breaking type II seesaw mass matrix as a perturbation and calculate the neutrino oscillation parameters as a function of type II seesaw strength. We then consider the origin of non-trivial leptonic CP phase in the charged lepton sector and calculate the lepton asymmetry arising from the lightest right handed neutrino decay by incorporating the presence of both type I and type II seesaw. We constrain the type II seesaw strength as well as leptonic CP phase (and hence the charged lepton sector) by comparing our results with experimental neutrino oscillation parameters as well as Planck bound on baryon to photon ratio. Finally, we extend our analysis on lepton flavour violating decays like μ→ e γ and μ→ eee due to exchange of TeV scale Higgs triplet scalar within the low scale type II seesaw framework. The branching ratios for these lepton flavour processes are examined with the small type II perturbation term ω and the estimated values are very close to the experimental bound coming from current search experiments.