arXiv 2209.047052022-09hep-ph

一个由 SO(10) 大统一模型解释 $B$-味和 $a_μ$ 反常的经济模型

An economical model for $B$-flavour and $a_μ$ anomalies from SO(10) grand unification

Ufuk Aydemir, Tanumoy Mandal, Subhadip Mitra, Shoaib Munir

备注：: 20 pages, 4 figures, 5 tables. Significant improvements in the text and results, which are now based on the latest data for the $a_μ$ and $R_{D^{(*)}}$ anomalies. A thorough explanation of the validity of the low-energy model through RGE running of the Yukawa couplings has also been included

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AI总结：

本文提出一个 SO(10) 大统一模型，通过位于 TeV 尺度的复 10 维标量多重态构建包含轻夸克的低能模型，利用残留离散对称性保证质子稳定并引入轴子解决强 CP 问题，同时解释了 $B$-味和 $a_μ$ 反常。

摘要：

我们研究了一个 SO(10) 大统一场景，其中包含 Standard Model (SM) Higgs 玻色子的复 10 维标量多重态完全位于 TeV 尺度。由此产生的低能模型是一个 2-Higgs-doublet 模型，并附加了两个 $S_1$ 型轻夸克。规范耦合统一仅通过一个中间尺度实现，在该尺度下 Pati-Salam 规范群被破缺到 SM。质子稳定性由离散对称性保证，该对称性是 U(1)$_{\mathrm{PQ}}$ 全局对称性破缺后的残留。与该破缺的 U(1)$_{\mathrm{PQ}}$ 对应的轴子为强 CP 问题提供了解决方案，同时也作为重要的暗物质候选者。我们讨论了该模型如何同时解释 $R_{D^{(*)}}$ 和 $a_μ$ 反常，并研究了其一些唯象学意义。

英文摘要：

We investigate an $\mathrm{SO}(10)$ grand unification scenario where the complex 10-dimensional scalar multiplet, containing the Standard Model (SM) Higgs boson, resides at the TeV scale altogether. The resulting low-energy model is a 2-Higgs-doublet model augmented with two $S_1$-type leptoquarks. The gauge-coupling unification is achieved with only one intermediate scale at which the Pati-Salam gauge group is broken down to the SM. Proton stability is ensured by a discrete symmetry, leftover from the breaking of the U(1)$_{\mathrm{PQ}}$ global symmetry. The axion corresponding to this broken U(1)$_{\mathrm{PQ}}$ provides a solution to the strong CP problem, and also serves as an important dark matter candidate. We discuss how the simultaneous explanation for the $R_{D^{(*)}}$ and $a_μ$ anomalies comes about in the model, and investigate some of its phenomenological implications.

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