Modular $A_4$ invariance and leptogenesis
Abstract
We consider a model with three right-handed neutrinos in which Yukawa coupling constants and Majorana masses are obtained by requiring the modular symmetry. It has been shown that the model can explain mass hierarchies and mixing patterns of charged leptons and neutrinos with the seesaw mechanism. In this article we investigate the leptogenesis by decays of right-handed neutrinos in this model. It is shown that masses of right-handed neutrinos are about GeV in order to account for the observed baryon asymmetry of the universe. Furthermore, the positive sign of the baryon asymmetry is obtained only for the limited ranges of mixing angles and CP violation phases of active neutrinos, which can be tested by future neutrino experiments.
Cite
@article{arxiv.1909.06520,
title = {Modular $A_4$ invariance and leptogenesis},
author = {Takehiko Asaka and Yongtae Heo and Takuya H. Tatsuishi and Takahiro Yoshida},
journal= {arXiv preprint arXiv:1909.06520},
year = {2021}
}
Comments
17 pages, 14 figures, matches the published version