由非阿贝尔群稳定的暗物质：来自 $Σ(36)$ 3HDM 的经验教训
Dark matter stabilized by a non-abelian group: lessons from the $Σ(36)$ 3HDM
AI总结：
本文研究基于 $Σ(36)$ 群的三 Higgs 二重态暗物质模型，证明非阿贝尔群可不可避免地稳定暗物质，但 LHC 与最新 LZ 结果严重限制其可行性。
摘要：
在构建暗物质（DM）模型时，人们通常会施加守恒的离散对称性以稳定 DM 候选粒子。最简单的选择是 $\mathbb{Z}_2$，但具有更大稳定群的模型也已得到探索。一个守恒的非阿贝尔群能否产生可行的 DM 模型？本文在基于 $Σ(36)$ 群的三 Higgs 二重态模型中探讨这一问题；在该模型中，由非阿贝尔群实现 DM 稳定不仅是可能的，而且是不可避免的。我们表明，Higgs、费米子和 DM 三个部分之间的紧密联系反复使该模型与 LHC 结果及 DM 观测发生冲突，其中最新的 LZ 结果起到了决定性作用。我们相信，从本研究中获得的经验教训有助于厘清在具有大对称性群的多 Higgs 二重态 DM 模型中所能实现结果的极限。
英文摘要：
When building dark matter (DM) models, one often imposes conserved discrete symmetries to stabilize DM candidates. The simplest choice is ${\mathbb Z}_2$ but models with larger stabilizing groups have also been explored. Can a conserved non-abelian group lead to a viable DM model? Here, we address this question within the three-Higgs-doublet model based on the group $Σ(36)$, in which DM stabilization by a non-abelian group is not only possible but inevitable. We show that the tight connections between the Higgs, fermion, and DM sectors repeatedly drive the model into conflict with the LHC results and DM observations, with the most recent LZ results playing a decisive role. We believe that the lessons learned from this study help chart the limits of what can be achieved within multi-Higgs-doublet DM models with large symmetry groups.
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。
