论文标题

III型Seesaw以下$ A_4 $模块化对称性与瘦素发生

Type III seesaw under $A_4$ modular symmetry with leptogenesis

论文作者

Mishra, Priya, Behera, Mitesh Kumar, Panda, Papia, Mohanta, Rukmani

论文摘要

我们试图通过在超对称环境中考虑$ A_4 $模块化对称性来研究中微子现象学在类型的Seesaw框架中研究中微子现象学。此外,我们还包括了一个本地$ u(1)_ {b-l} $对称性,该$最终帮助我们避免了超电势中的某些不必要的术语。迄今为止,Seesaw是III型,它涉及三个费米昂三重态超级场$σ_r$,我们还包括一个Singlet feaveron field $(ρ)$。在这里,模块化对称性通过避免使用过量的Flavon(flowen)磁场来起着至关重要的作用。同样,Yukawa耦合获得了以Dedekind ETA函数$η(τ)$表示的模块化形式。但是,对于数值分析,我们使用这些耦合的$ q $扩展表达式。因此,此处讨论的模型足够胜利,足以容纳观察到的中微子振荡数据,并成功地解释了观察到的宇宙通过瘦肉发生的bary骨不对称性。

We make an attempt to study neutrino phenomenology in the framework of type-III seesaw by considering $A_4$ modular symmetry in the super-symmetric context. In addition, we have included a local $U(1)_{B-L}$ symmetry which eventually helps us to avoid certain unwanted terms in the superpotential. Hitherto, the seesaw being type-III, it involves three fermion triplet superfields $Σ_R$, along with which, we have included a singlet weighton field $(ρ)$. In here, modular symmetry plays a crucial role by avoiding the usage of excess flavon (weighton) fields. Also, the Yukawa couplings acquire modular forms which are expressed in terms of Dedekind eta function $η(τ)$. However, for numerical analysis we use $q$ expansion expressions of these couplings. Therefore, the model discussed here is triumphant enough to accommodate the observed neutrino oscillation data and also successfully explains observed baryon asymmetry of the universe through leptogenesis.

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