Perturbations to $\mu-\tau$ Symmetry, Leptogenesis and Lepton Flavour Violation with Type II Seesaw

TL;DR

This paper investigates how perturbations from type II seesaw can generate realistic neutrino mixing angles, CP violation, leptogenesis, and lepton flavor violation within various $- au$ symmetric models, aligning with experimental data.

Contribution

It introduces a minimal type II seesaw perturbation to $- au$ symmetric neutrino mass matrices and analyzes its effects on neutrino oscillations, CP violation, leptogenesis, and lepton flavor violation.

Findings

Type II seesaw perturbations can produce realistic $ heta_{13}$ and $ heta_{12}$ angles.

Leptogenesis constraints restrict the strength of type II seesaw and CP phase.

Predicted lepton flavor violating decay rates are close to experimental bounds.

Abstract

We study the possibility of generating non-zero reactor mixing angle $\theta_{13}$ by perturbing the $\mu-\tau$ symmetric neutrino mass matrix. The leading order $\mu-\tau$ symmetric neutrino mass matrix originates from type I seesaw mechanism whereas the perturbations to $\mu-\tau$ symmetry originate from type II seesaw term. We consider four different realizations of $\mu-\tau$ symmetry: Bimaximal Mixing(BM), Tri-bimaximal Mixing (TBM), Hexagonal Mixing (HM) and Golden Ratio Mixing (GRM) all giving rise to $\theta_{13} = 0, \theta_{23} = \frac{\pi}{4}$ but different non-zero values of solar mixing angle $\theta_{12}$. We assume a minimal $\mu-\tau$ 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 $\mu \to e \gamma$ and $\mu \to eee$ 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 $\omega$ and the estimated values are very close to the experimental bound coming from current search experiments.