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arXiv 2604.04585hep-ph
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模对称固定点对中微子质量、混合及轻子生成的预测

Predictions of Modular Symmetry Fixed Points on Neutrino Masses, Mixing, and Leptogenesis

Central University of Himachal Pradesh（喜马偕尔邦中央大学）；Indian Institute of Science Education and Research Berhampur（印度科学教育研究所布兰普分校）；Sichuan University（四川大学）

Priya, B. C. Chauhan, Deepak Kumar, Takaaki Nomura

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20 pages, 6 figures and 5 Tables
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AI总结：

本文基于非全纯模对称框架，研究固定点对中微子性质及宇宙正物质 asymmetry 的影响，通过 χ² 分析验证模型与中微子振荡数据的一致性。

摘要：

在最近提出的非全纯模对称框架中，引入了 Yukawa 耦合的负和零模权概念。这些 Yukawa 耦合是复模量 τ 的函数，负责轻子生成期间的 CP 异常。本文限制 τ 在模对称的固定点上，而非其基本域，使得 Yukawa 耦合也固定。我们采用此框架，提出 III 型锯齿机制。模型通过 NuFIT~6.1 使用 χ² 分析测试中微子振荡数据。为测试预测的稳定性，我们通过引入偏差 τ→τ_fixed(1 + εe^{iϕ})（ε∈(0,0.1)，ϕ∈(-π,π)）分析每个固定点附近的区域。结果表明，某些固定点及其附近区域能够产生可行的中微子现象学，同时生成观测到的宇宙正物质 asymmetry。

英文摘要：

In recently proposed framework of non-holomorphic modular symmetry introduces the concept of negative and zero modular weight of Yukawa couplings. These Yukawa couplings are function of complex modulus $τ$, which is responsible for the CP asymmetry produced during leptogenesis. In this work, we restrict the $τ$ on the fixed points of modular symmetry rather than its fundamental domain in such manner Yukawa couplings are also get fixed. We have adopt this framework and propose a type III seesaw mechanism. The model is tested against neutrino oscillation data through a $χ^2$ analysis using NuFIT~6.1. To test the stability of these predictions, we also analyze regions near each fixed point by introducing a deviation $τ\rightarrow τ_{\rm fixed}(1 + εe^{iϕ})$ with $ε\in (0,0.1)$ and $ϕ\in (-π,π)$. Our results show that certain fixed points, along with their nearby regions, are capable of producing viable neutrino phenomenology while also generating the observed baryon asymmetry of the Universe.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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