论文标题
Susy Breaking在模块化风味上的约束$ S_3 $不变$ SU（5）$肠模型
SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
论文作者
论文摘要
模块化风味对称性可用于解释夸克和轻子风味结构。夸克和叶子的Susy合作伙伴与夸克和叶子共享相同的超电势，也将受到模块化风味结构的约束，并在肠道尺度上显示出不同的风味（混合）模式。因此，在具有SUSY完成的现实模块化风味模型中，对撞机和DM约束的约束也可以用于约束模量参数的可能值。在这项工作的第一部分中，我们讨论了$ s_3 $模块化对称性可以通过$ t^2/z_n $ orbifold保留的可能性，尤其是从$ t^2/z_2 $。为了说明模块化风味对称模型的对撞机等的其他约束，我们以最简单的紫外线SUSY-COLLETION $ S_3 $模块化不变性SU（5）肠道模型为示例，它具有广义重力中介SUSY Breaking机制。我们发现，这样的约束确实可以排除模量参数的大部分。我们的数值结果表明，UV填充的模型可以说明SM（加上中微子）风味结构和对撞机DM约束。此类讨论也可以直接应用于其他模块化风味对称模型，例如$ a_4 $或$ s_4 $型号。
Modular flavor symmetry can be used to explain the quark and lepton flavor structures. The SUSY partners of quarks and leptons, which share the same superpotential with the quarks and leptons, will also be constrained by the modular flavor structure and show a different flavor(mixing) pattern at the GUT scale. So, in realistic modular flavor models with SUSY completion, constraints from the collider and DM constraints can also be used to constrain the possible values of the modulus parameter. In the first part of this work, we discuss the possibility that the $S_3$ modular symmetry can be preserved by the fixed points of $T^2/Z_N$ orbifold, especially from $T^2/Z_2$. To illustrate the additional constraints from collider etc on modular flavor symmetry models, we take the simplest UV SUSY-completion $S_3$ modular invariance SU(5) GUT model as an example with generalized gravity mediation SUSY breaking mechanism. We find that such constraints can indeed be useful to rule out a large portion of the modulus parameters. Our numerical results show that the UV-completed model can account for both the SM (plus neutrino) flavor structure and the collider, DM constraints. Such discussions can also be applied straightforwardly to other modular flavor symmetry models, such as $A_4$ or $S_4$ models.
