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arXiv 2404.16626hep-ph
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理解微小中微子质量及其物理含义

Understanding small neutrino mass and its implication

Hsiang-nan Li

AI总结:

本文通过电弱对称性高能恢复假设下的色散分析,纳入直至三圈的标量交换修正,从标准模型推导出 eV 量级中微子质量,并倾向于正序质量排序,从而将新物理能标与微小中微子质量联系起来。

摘要:

我们此前已在对中性轻子态混合的色散分析中推导出中微子质量与混合角之间的关系。唯一涉及的假设是,在某些新物理场景中,标准模型(SM)的电弱对称性在高能标度处恢复,这削弱了负责混合的箱图贡献。在此,我们纳入对该分析直至三圈阶的修正,这些修正来源于电弱对称相中额外中性标量和带电标量的交换。对 $μ^-e^+$-$μ^+e^-$ 混合的色散关系求解在标准模型中明确地给出典型中微子质量 $m_ν\sim O(1)$ eV。该解还倾向于中微子质量的正序而非倒序,并将大规模电弱对称性恢复,即新物理能标,与微小中微子质量联系起来。

英文摘要:

We have derived previously the relations between the neutrino masses and mixing angles in a dispersive analysis on the mixing of neutral leptonic states. The only involved assumption is that the electroweak symmetry of the Standard Model (SM) is restored at a high energy scale in some new physics scenario, which diminishes the box diagrams responsible for the mixing. Here we include corrections to the analysis up to three loops, arising from exchanges of additional neutral and charged scalars in the electroweak symmetric phase. The solution to the dispersion relation for the $μ^-e^+$-$μ^+e^-$ mixing generates a typical neutrino mass $m_ν\sim O(1)$ eV in the SM unambiguously. The solution also favors the normal ordering of the neutrino masses over the inverted one, and links the large electroweak symmetry restoration, i.e., new physics scale to the small neutrino mass.

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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