arXiv 2107.134452021-07-28hep-ph

具有平坦额外维的规范-希格斯统一中的希格斯势

Higgs potential in gauge-Higgs unification with a flat extra dimension

Mitsuru Kakizaki, Shin Suzuki

备注：: 17 pages, 4 figures, 1 table
DOI：: 10.1016/j.physletb.2021.136637

摘要：

我们分析了具有平坦额外维度的规范-希格斯统一中希格斯势的结构。作为一个具体的模型，我们首先考虑的情况下，标准模型的希格斯二重态嵌入到一个高维$SU(3)_{w}^{}$规范多重态与五维洛伦兹对称松弛。在这个$SU(3)_{w}^{}$模型与洛伦兹破坏，由此产生的三重希格斯玻色子耦合从其SM预测的偏差被证明是小于$10\%$时，紧化尺度大于实验下限，这是5 TeV左右。接下来，我们研究了在其他类似的规范-希格斯统一模型与平坦的额外维度的希格斯势。指出即使在这样的模型中，随着额外维度的紧化尺度的增加，真空周围的希格斯势的形状也会迅速接近最小希格斯势的形状。在计划中的轻子对撞机上，三重希格斯玻色子玻色子耦合的可观测偏差将需要对这种规范-希格斯统一模型进行重大扩展。

英文摘要：

We analyze the structure of the Higgs potential in gauge-Higgs unification with a flat extra dimension. As a concrete model, we first consider the cases where the Standard Model Higgs doublet is embedded into a higher-dimensional $SU(3)_{w}^{}$ gauge multiplet with five-dimensional Lorentz symmetry relaxed. In this $SU(3)_{w}^{}$ model with Lorentz violation, the deviation of the resulting triple Higgs boson coupling from its SM prediction is shown to be less than $10\%$ when the compactification scale is larger than the experimental lower bound, which is around 5 TeV. Next, we examine the Higgs potential in other similar gauge-Higgs unification models with a flat extra dimension. It is pointed out that even in such models the shape of the Higgs potential around the vacuum quickly approaches that of the minimal Higgs potential with one Higgs doublet as the compactification scale of the extra dimension increases. An observable deviation of the triple Higgs boson coupling at planned lepton colliders will necessitate significant extensions of such gauge-Higgs unification models.

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