τ=i处具有三个希格斯二重态与S₃模对称性的夸克混合模型
Quark Mixing Model with Three Higgs Doublets and $S_3$ Modular Symmetry at $τ=i$
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中文总结 AI 辅助
该研究构建含三个希格斯二重态与S₃模对称性的夸克混合模型，通过S₃群分配与τ=i处条件减少自由参数，以四参数方案精确拟合V_{CKM}矩阵。
中文摘要 AI 辅助
我们研究了一个包含三个希格斯电弱二重态并辅以模S₃对称性的模型的夸克部分。我们证明，对夸克和希格斯场在S₃群中的恰当分配及其模权重，可构建出具有唯象可行结构的质量矩阵。此外，通过考虑标量势最小化导出的希格斯真空期望值（VEV）条件，结合在不动点τ=i处对汤川耦合的计算，能大幅减少自由参数。我们提出两种方案：一种含三个有效参数，约束过强；另一种含四个有效参数，可精确拟合V_{CKM}矩阵。
英文摘要
We study the quark sector of a model with three Higgs electroweak doublets, complemented with a modular $S_3$ symmetry. We show that a proper assignment of the quark and Higgs fields in $S_3$ and their modular weights allows to write a mass matrix with a phenomenologically viable texture. Moreover, by considering the conditions on the Higgs VEVs derived from the minimization of the scalar potential together with evaluation of the Yukawa couplings at the fixed point $τ=i$, leads to a significant reduction of the free parameters. We present two setups, one with three effective parameters, which is overly constrained, and one with four effective parameters, where the $V_{CKM}$ matrix can be fitted precisely.
发表机构
- Instituto de Física, Universidad Nacional Autónoma de México（墨西哥国立自治大学物理研究所）
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