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arXiv 2302.01784hep-phastro-ph.CO
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规范的$L_e-L_μ-L_τ$对称性、第四代、中微子质量与暗物质

Gauged $L_e-L_μ-L_τ$ symmetry, fourth generation, neutrino mass and dark matter

Satyabrata Mahapatra, Rabindra N. Mohapatra, Narendra Sahu

AI总结:

本研究提出两种将$L_e-L_μ-L_τ$作为规范对称性的模型,分析反常抵消的约束,探讨中微子质量等级、暗物质候选者及相关约束,并讨论解释μ子和电子$(g-2)$的可能。

摘要:

我们提出了两种将熟知的轻子对称性$L_e-L_μ-L_τ$作为规范对称性的模型。我们展示了反常抵消如何约束可行的理论:其中一种模型需要第四代序贯手征标准模型费米子,另一种三代模型则需要将$(L_e-L_μ-L_τ)-(B_1-B_2-B_3)$规范化,其中$B_a$代表第$a$代夸克的重子数。与总是导致中微子反质量等级的整体$L_e-L_μ-L_τ$模型不同,规范版本可以产生正等级。我们展示了如何在两种情形下构建现实模型,并讨论了两者中的暗物质候选者。在我们的模型中,$U(1)_{L_e-L_μ-L_τ}$的破缺通过I型机制产生中微子质量,而$U(1)_{L_e-L_μ-L_τ}$破缺标量场(此处称为$ϕ$)的实部扮演了冻结产生(freeze-in)暗物质候选者的角色。由于$ϕ$不稳定,它要成为暗物质,寿命必须大于宇宙年龄,这意味着$ϕ$的遗迹通过冻结产生机制生成,且其质量必须小于1 MeV。我们还讨论了在满足暗物质遗迹密度和寿命约束的同时,解释μ子和电子$(g-2)$的可能性。

英文摘要:

We present two models where the familiar leptonic symmetry $L_e-L_μ-L_τ$ is a gauge symmetry. We show how anomaly cancellation constrains the allowed theories, with one of them requiring a fourth sequential chiral standard model fermion generation and a second one with three generations, requiring gauging of $(L_e-L_μ-L_τ)-(B_1-B_2-B_3)$ with $B_a$ representing the baryon number of the $a$th generation quarks. Unlike global $L_e-L_μ-L_τ$ models which always leads to inverted mass hierarchy for neutrinos, the gauged version can lead to normal hierarchy. We show how to construct realistic models in both the cases and discuss the dark matter candidate in both. In our model, the breaking of $U(1)_{L_e-L_μ-L_τ}$ is responsible for neutrino mass via type-I mechanism whereas the real part of $U(1)_{L_e-L_μ-L_τ}$ breaking scalar field (called $ϕ$ here) plays the role of freeze-in dark matter candidate. Since $ϕ$ is unstable, for it to qualify as dark matter, its lifetime must be larger than the age of the Universe, implying that the relic of $ϕ$ is generated through freeze-in mechanism and its mass must be less than an MeV. We also discuss the possibility of explaining both muon and electron $(g-2)$ while being consistent with the dark matter relic density and lifetime constraints.

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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