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arXiv 2111.04744hep-ph
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μ介子$g-2$的轻子味SU(3)测量

Gauging lepton flavor SU(3) for the muon $g-2$

Gonzalo Alonso-Álvarez, James M. Cline

摘要:

测量轻子数的特定差异,如$L_μ-L_τ$,是一种流行的建模选项,它可以为μ子异常磁矩提供经济的解释。然而,这种规范群的选择似乎是相当随意的,需要额外的物理来重现观测到的中微子质量和混合。我们通过将$L_μ-L_τ$嵌入到轻子味的矢量SU(3)规范对称性中来解决这些缺点。基本、六维和伴随表示中的标量场的真空期望值(VEV)允许现象上可行的轻子和规范玻色子质量。八重态标量产生带电轻子质量,并与三重态标量一起产生除$L_μ-L_τ$之外的所有亲轻子规范玻色子的质量。后者的质量较小,来自于六重体的VEV,而六重体的VEV也产生了中微子的质量,并由观测到的质量和混合决定。该模型预测了三个GeV-TeV量级的重中性轻子以及类矢量带电轻子伙伴;它要求最轻的活动中微子的质量超过$10^{-4}\,$ eV,并且它自然地提供了卡比博角异常的分辨率。

英文摘要:

Gauging a specific difference of lepton numbers such as $L_μ-L_τ$ is a popular model-building option, which gives rise to economical explanations for the muon anomalous magnetic moment. However, this choice of gauge group seems rather arbitrary, and additional physics is required to reproduce the observed neutrino masses and mixings. We address these shortcomings by embedding $L_μ-L_τ$ in the vectorial SU(3) gauge symmetry of lepton flavor. The vacuum expectation values (VEVs) of scalar fields in the fundamental, six-dimensional and adjoint representations allow for phenomenologically viable lepton and gauge boson masses. The octet scalar gives rise to charged lepton masses, and together with the triplet scalar generates masses for all the leptophilic gauge bosons except for the $L_μ-L_τ$ one. The latter gets its smaller mass from the sextet VEVs, which also generate the neutrino masses, and are determined up to an overall scaling by the observed masses and mixings. The model predicts three heavy neutral leptons at the GeV-TeV scale as well as vectorlike charged lepton partners; it requires the mass of the lightest active neutrino to exceed $10^{-4}\,$eV, and it naturally provides a resolution of the Cabibbo angle anomaly.

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