$A_4 \otimes Z_4$ 中微子模型中的引力波与广义 CP

中文摘要 AI 辅助

我们用 $A_4 \times Z_4$ 味对称性和广义 CP（GCP）对称性扩展标准模型，该对称性通过两个自发破缺 $A_4$ 的 flavon 三重态实现，并产生观测到的轻子混合模式。一个新的 $A_4$ 单态 flavon 通过一个复四次相互作用与其中一个三重态耦合，该相互作用破缺 GCP 并固定反应堆混合角；这一耦合还使该三重态破缺 $A_4$ 时形成的畴壁产生偏置。对振荡数据的全局拟合再现了所有混合角和质量劈裂，预言最大 Dirac CP 相位为 $270^\circ$，有效马约拉纳质量约为 $15\text{ meV}$，可由即将进行的无中微子双贝塔衰变（$0\nu\beta\beta$）实验检验。同一耦合产生一个随机引力波背景，其峰值位于脉冲星计时阵列和 LISA 频带，峰值频率和振幅被预言按 $\sin\theta_{13}$ 和 $\sin^{-4}\theta_{13}$ 标度，这为中微子振荡与引力波（GW）观测之间提供了可证伪的联系。

英文摘要

We extend the Standard Model with an $A_4 \times Z_4$ flavor symmetry and generalized CP (GCP) symmetry, realized through two flavon triplets that spontaneously break $A_4$ and generate the observed lepton mixing pattern. A new $A_4$-singlet flavon couples to one of these triplets through a complex quartic interaction that breaks GCP and fixes the reactor mixing angle; this same coupling biases the domain walls formed when that triplet breaks $A_4$. A global fit to oscillation data reproduces all mixing angles and mass splittings, predicting a maximal Dirac CP phase of $270^\circ$ and an effective Majorana mass near $15\text{ meV}$, testable by upcoming neutrinoless double-beta-decay ($0νββ$) experiments. The same coupling generates a stochastic gravitational-wave background peaking in the pulsar-timing-array and LISA bands, with peak frequency and amplitude predicted to scale as $\sinθ_{13}$ and $\sin^{-4}θ_{13}$, a falsifiable link between neutrino oscillation and gravitational-wave (GW) observations.

发表机构

• Tezpur University（特佐普尔大学）

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