We consider a model with three right-handed neutrinos in which Yukawa coupling constants and Majorana masses are obtained by requiring the modular $A_4$ 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 $10^{13}$ 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.

中文翻译：

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模块化 A4 不变性和瘦素发生

我们考虑一个具有三个右手中微子的模型，其中通过要求模块化 $A_4$ 对称性来获得 Yukawa 耦合常数和 Majorana 质量。已经表明，该模型可以用跷跷板机制解释带电轻子和中微子的质量等级和混合模式。在这篇文章中，我们通过该模型中右手中微子的衰变来研究轻质发生。为了解释观察到的宇宙重子不对称性，表明右手中微子的质量约为 $10^{13}$ GeV。此外，重子不对称的正号仅在活动中微子的混合角和 CP 破坏阶段的有限范围内获得，这可以通过未来的中微子实验进行测试。