具有$A_4$模对称性的极小左右对称模型
Minimal Left-Right Symmetric Model with $A_4$ modular symmetry
摘要：
本文实现了具有模对称性的左右对称模型。我们使用了与非交换离散对称群$A_4$同构的$Γ$（3）模群。使用模块对称的优点是不需要使用额外的粒子称为“黄酮”。在这个模型中，汤川耦合表示的模块形式$(Y_1,Y_2,Y_3)$。在这篇文章中，我们研究了具有I型和II型优势的最小左右对称模型。在这里，我们计算了汤川耦合的值，然后将其与中微子质量之和作图。所得结果完全在中微子质量和的期望值的实验范围内。我们还简要分析了模对称性对无中微子双β衰变的影响，以及在左右对称模型下的新物理贡献。
英文摘要：
In this paper, we have realized the left-right symmetric model with modular symmetry. We have used $Γ$(3) modular group which is isomorphic to non-abelian discrete symmetry group $A_4$. The advantage of using modular symmetry is the non-requirement for the use of extra particles called 'flavons'. In this model, the Yukawa couplings are expressed in terms of modular forms $(Y_1,Y_2,Y_3)$. In this work, we have studied minimal Left-Right Symmetric Model for both type-I and type-II dominances. Here, we have calculated the values for the Yukawa couplings and then plotted it against the sum of the neutrino masses. The results obtained are well within the experimental limits for the desired values of sum of neutrino masses. We have also briefly analyzed the effects of the implications of modular symmetry on neutrinoless double beta decay with the new physics contributions within Left-Right Symmetric Model.
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