Neutrinoless double beta decay and lepton flavour violation in broken $\mu -\tau$ symmetric neutrino mass models

Abstract

We have studied neutrinoless double beta decay and charged lepton flavour violation in broken $\mu -\tau$ symmetric neutrino masses in a generic left-right symmetric model (LRSM). The leading order $\mu -\tau$ symmetric mass matrix originates from the type I (II) seesaw mechanism, whereas the perturbations to $\mu -\tau$ symmetry in order for generation of non-zero reactor mixing angle ${\theta }_{13}$, as required by latest neutrino oscillation data, originates from the type II (I) seesaw mechanism. In our work, we considered four different realizations of $\mu -\tau$ symmetry, viz. Tribimaximal Mixing (TBM), Bimaximal Mixing (BM), Hexagonal Mixing (HM) and Golden Ratio Mixing (GRM). We then studied the new physics contributions to neutrinoless double beta decay (NDBD) ignoring the left-right gauge boson mixing and the heavy-light neutrino mixing within the framework of LRSM. We have considered the mass of the gauge bosons and scalars to be around TeV and studied the effects of the new physics contributions on the effective mass and the NDBD half life and compared with the current experimental limit imposed by KamLAND-Zen. We further extended our analysis by correlating the lepton flavour violation of the decay processes, $\left(\mu \to 3e\right)$ and $\left(\mu \to e\gamma \right)$ with the lightest neutrino mass and atmospheric mixing angle ${\theta }_{23}$ respectively.

32 pages, 11 figures, minor modification in numerical analysis, reference added (to appear in International Journal of Theoretical Physics)

References in corpus (8)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• Possible Alternatives to Tri-bimaximal Mixing
• Scaling in the Neutrino Mass Matrix
• Left-right models with light neutrino mass prediction and dominant neutrinoless double beta decay rate
• Neutrinoless Double Beta Decay Experiments
• Nonzero ${\theta }_{13}$ and CP Violation from Broken $\mu -\tau$ Symmetry

Cited by in corpus (1)

• Phenomenological Study of Texture Zeros in Lepton Mass Matrices of Minimal Left-Right Symmetric Model