Spontaneous CP Violation in Lepton-sector: a common origin for ${\theta }_{13}$, Dirac CP phase and leptogenesis

Abstract

A possible interplay between the two terms of the general type-II seesaw formula is exercised which leads to the generation of nonzero ${\theta }_{13}$. The specific flavor structure of the model, guided by the $A_4\times Z_4\times Z_3$ symmetry and accompanied with the Standard Model singlet flavons, yields the conventional seesaw contribution to produce the tribimaximal lepton mixing which is further corrected by the presence of the $SU(2{)}_L$ triplet contribution to accommodate ${\theta }_{13}$. We consider the CP symmetry to be spontaneously broken by the complex vacuum expectation value (vev) of a singlet field $S$. While the magnitude of its complex vev is responsible for generating ${\theta }_{13}$, its phase part induces the low energy CP violating phase ($\delta$) and the CP violation required for leptogenesis. Hence the triplet contribution, although sub-dominant, plays crucial role in providing a common source for non-zero ${\theta }_{13}$, $\delta$ and CP-violation required for leptogenesis. We find that the recent hint for $\delta$ close to $3\pi /2$ is somewhat favored in this set-up though it excludes the exact equality with $3\pi /2$. We also discuss the generation of lepton asymmetry in this scenario.

31 pages, 17 figures

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Cited by in corpus (19)

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• A review of mu-tau flavor symmetry in neutrino physics
• $A_4$ Flavour Model for Dirac Neutrinos: Type I and Inverse Seesaw
• Mixed Inert Scalar Triplet Dark Matter, Radiative Neutrino Masses and Leptogenesis
• An $A_4$ realization of inverse seesaw: neutrino masses, ${\theta }_{13}$ and leptonic non-unitarity
• Flavor origin of dark matter and its relation with leptonic nonzero ${\theta }_{13}$ and Dirac CP phase $\delta$
• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• Leptogenesis, radiative neutrino masses and inert Higgs triplet dark matter
• Peccei-Quinn symmetry for Dirac seesaw and leptogenesis
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
• Unifying the flavor origin of dark matter with leptonic nonzero ${\theta }_{13}$
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions
• Low energy phenomena of the lepton sector in an $A_4$ symmetry model with heavy inverse seesaw neutrinos
• CP violations in a predictive $A_4$ symmetry model
• Flavored Leptogenesis and Neutrino Mass with $A_4$ Symmetry
• Non$-$zero ${\theta }_{13}$ and ${\delta }_{CP}$ phase with $A_4$ Flavor Symmetry and Deviations to Tri$-$Bi$-$Maximal mixing via $Z_2\times Z_2$ invariant perturbations in the Neutrino sector
• Planck Scale Origin of Non-zero ${\theta }_{13}$ and Super-WIMP Dark Matter
• A Dynamic Modification to Sneutrino Chaotic Inflation