论文标题
7级的Lepton的模块化模型
Modular Invariant Models of Leptons at Level 7
论文作者
论文摘要
我们在首次考虑7个模块化风味模型的首次考虑，其中Lepton混合起源于模块化对称性和负责Lepton质量的耦合的破坏是模块化的形式。后者被分解为有限模块化组$γ_7$的不可还原的多重倍数，这是同构为$ psl（2，z__ {7}）$，这是七个元素上的两个维元素的投影特殊线性群体，其中七个元素的元素是168个元素，包含168个元素，有时包含$ psl_2 $ $ $ $ $或$ $ $ $或$ psl_2（7）。在重量2时，有26个线性独立的模块化形式，分为三胞胎，一个septet和两个八位章，为$γ_7$。提供了最大重量8的模块化表单的完整列表。假设没有黄酮，则构建了基于$γ_7$的最简单的模块化模型，其中中微子通过Weinberg操作员或I Type-I Seesaw机制获得质量及其与实验相比的预测。
We consider for the first time level 7 modular invariant flavour models where the lepton mixing originates from the breaking of modular symmetry and couplings responsible for lepton masses are modular forms. The latter are decomposed into irreducible multiplets of the finite modular group $Γ_7$, which is isomorphic to $PSL(2,Z_{7})$, the projective special linear group of two dimensional matrices over the finite Galois field of seven elements, containing 168 elements, sometimes written as $PSL_2(7)$ or $Σ(168)$. At weight 2, there are 26 linearly independent modular forms, organised into a triplet, a septet and two octets of $Γ_7$. A full list of modular forms up to weight 8 are provided. Assuming the absence of flavons, the simplest modular-invariant models based on $Γ_7$ are constructed, in which neutrinos gain masses via either the Weinberg operator or the type-I seesaw mechanism, and their predictions compared to experiment.
