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

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.

v2: Added references, to appear in Phys. Rev. D. arXiv admin note: text overlap with arXiv:1403.7636, arXiv:1303.1758

References in corpus (25)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Leptogenesis
• Global fit to three neutrino mixing: critical look at present precision
• Flavour Matters in Leptogenesis
• Neutrino Masses and the LHC: Testing Type II Seesaw
• Possible Alternatives to Tri-bimaximal Mixing
• The golden ratio prediction for the solar neutrino mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• The low-scale approach to neutrino masses
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Testability of Type I Seesaw at the CERN LHC: Revealing the Existence of the B-L Symmetry
• Neutrino Mass and Baryon Asymmetry from Dirac Seesaw
• Tribimaximal Mixing From Small Groups
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Tri-bimaximal Mixing from Cascades
• Perturbations to μ-τ symmetry in neutrino mixing
• Reactor mixing angle from hybrid neutrino masses
• Type II Seesaw Origin of Non-zero ${\theta }_{13},{\delta }_{CP}$ and Leptogenesis
• Neutrino masses and mixings with non-zero ${\theta }_{13}$ in Type I+II Seesaw Models
• Quasi-Degenerate Neutrinos in Type II Seesaw Models

Cited by in corpus (6)

• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
• Non-zero ${\theta }_{13}$ with Unbroken $\mu -\tau$ Symmetry of the Active Neutrino Mass Matrix in the Presence of a Light Sterile Neutrino
• Connecting Leptonic CP Violation, Lightest Neutrino Mass and Baryon Asymmetry Through Type II Seesaw
• Corrections to Scaling Neutrino Mixing: Non-zero ${\theta }_{13},{\delta }_{CP}$ and Baryon Asymmetry
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture