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arXiv 1111.5422hep-ph
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具有膜动力学项的规范-Higgs统一模型中的弱混合角和Higgs质量

Weak Mixing Angle and Higgs Mass in Gauge-Higgs Unification Models with Brane Kinetic Terms

Jubin Park, Sin Kyu Kang

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22 pages, 4 figures
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摘要：

我们证明了通过在具有体规范群和简单规范群的高维GHU模型中引入定域膜动力学项，可以将GHU的思想从弱混合角的约束中解救出来.我们发现，这些条款导致希格斯和W玻色子质量之间的比例，这是一个有点偏离标准模型中导出的。通过数值分析，我们发现在6维（D）GHU模型中，无论紧化尺度如何，当前的Higgs质量下界都倾向于选择例外群E（6），E（7），E（8），而不是SU（3l），SO（2n+1），G（2），F（4）.对于小于1 TeV的紧致化标度，具有SU（3l），SO（2n+1），G（2）和F（4）群的6D GHU模型中的Higgs质量被预测为小于当前的下限，除非负责重新标度SU（2）规范耦合的模型参数被认为足够大。为了观察在更高维的GHU模型中情况是如何变化的，我们采用了7 D S^{3}/ Z_{2}和8D T^{4}/ Z_{2}模型。我们的数值分析结果表明，除了E（6）外，这些具有规范群的高维GHU模型可以导致希格斯玻色子，其质量仅在1 TeV以上的相容标度下才能超过当前的下限，而不需要不自然的大模型参数值，而在E（6）的GHU模型中，Higgs质量甚至在低于1 TeV的相容标度下都与当前的下限相容。

英文摘要：

We show that the idea of Gauge-Higgs unification(GHU) can be rescued from the constraint of weak mixing angle by introducing localized brane kinetic terms in higher dimensional GHU models with bulk and simple gauge groups. We find that those terms lead to a ratio between Higgs and W boson masses, which is a little bit deviated from the one derived in the standard model. From numerical analysis, we find that the current lower bound on the Higgs mass tends to prefer to exceptional groups E(6), E(7), E(8) rather than other groups like SU(3l), SO(2n+1), G(2), and F(4) in 6-dimensional(D) GHU models irrespective of the compactification scales. For the compactification scale below 1 TeV, the Higgs masses in 6D GHU models with SU(3l), SO(2n+1), G(2), and F(4) groups are predicted to be less than the current lower bound unless a model parameter responsible for re-scaling SU(2) gauge coupling is taken to be unnaturally large enough. To see how the situation is changed in more higher dimensional GHU model, we take 7D S^{3}/ Z_{2} and 8D T^{4}/ Z_{2} models. It turns out from our numerical analysis that these higher dimensional GHU models with gauge groups except for E(6) can lead to the Higgs boson whose masses are predicted to be above the current lower bound only for the compatification scale above 1 TeV without taking unnaturally large value of the model parameter, whereas the Higgs masses in the GHU models with E(6) are compatible with the current lower bound even for the compatification scale below 1 TeV.

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