$TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture

TL;DR

This paper presents a TeV-scale resonant leptogenesis model based on $A_4$ flavor symmetry, reconstructing the neutrino Yukawa matrix from oscillation data and analyzing parameter space constraints for baryon asymmetry.

Contribution

It introduces a novel $A_4$ flavor symmetric model with a scaling texture for neutrino masses, fully reconstructs the Yukawa matrix from data, and explores its implications for leptogenesis.

Findings

Diagonal elements of Dirac neutrino mass matrix are near or below MeV.

Model's parameter space is consistent with neutrino oscillation data and baryon asymmetry.

Predicted effective Majorana mass $|m_{ee}|$ range for baryogenesis compatibility.

Abstract

We consider a TeV scale resonant lepogenesis within type-I seesaw mechanism. We show that a concrete model based on $A_4$ flavor symmetry with a scaling ansatz in the neutrino Dirac mass matrix and a retro-circulant heavy Majorana mass matrix can be realized. The full Yukawa coupling matrix $Y_{\nu}$ can be fully reconstructed from the low energy neutrino oscillations data and the quasi-degenerate heavy Majorara neutrino masses. We have carried out a detailed numerical analysis to constrain the Dirac neutrino mass matrix elements. In particular, it was found that its diagonal elements lie near or below the MeV region. Furthermore, we have investigated the allowed regions in the parameter space of the model consistent with both low energy neutrino oscillations data and resonant leptogenesis leading to the observed baryon asymmetry of the universe. Finally, the model has an imperative prediction on the allowed space for the effective Majorana neutrino mass $|m_{ee}|$ in order to account for the observed baryon asymmetry.