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arXiv 2012.15661hep-phhep-th
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具有膜-Higgs耦合的$\mathcal{S}^1 / \mathbb{Z}_2$轨道模型的严格处理

Rigorous treatment of the $\mathcal{S}^1 / \mathbb{Z}_2$ orbifold model with brane-Higgs couplings

Ruifeng Leng, Grégory Moreau, Florian Nortier

备注：
41 pages, 4 figures, 3 tables, improved text (identical results)
发表信息：
Phys. Rev. D 103, 075010 (2021)
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摘要：

我们严格地建立了有吸引力的五维模型，其中体费米子沿着$ \mathcal{S}^1 / \mathbb{Z}_2$轨道传播，并与位于额外维度固定点的希格斯玻色子相互作用。费米子质量谱和有效汤川耦合的分析计算表明，需要引进的基本边界条件（EBC）所施加的模型定义或某些双线性膜项（BBT）的行动，而不是通常的膜-希格斯regulationations。沿着额外维度得到的费米子剖面会出现一些不连续性，特别是在希格斯膜上，如果用不当积分很好地写出作用量，这在数学上是一致的。我们还表明，$\mathbb{Z}_2$宇称变换在散装不影响的费米子手征，质量和耦合，与EBC和BBT相比，但当扩展到固定点，它们可以产生的手征性质的理论，甚至选择标准模型手征设置，同时固定以及费米子质量和耦合。由于严格的分析开发，与区间模型的二元性进行了审查。

英文摘要：

We build rigorously the attractive five-dimensional model where bulk fermions propagate along the $ \mathcal{S}^1 / \mathbb{Z}_2$ orbifold and interact with a Higgs boson localised at a fixed point of the extra dimension. The analytical calculation of the fermion mass spectrum and effective Yukawa couplings is shown to require the introduction of either Essential Boundary Conditions (EBC) imposed by the model definition or certain Bilinear Brane Terms (BBT) in the action, instead of the usual brane-Higgs regularisations. The obtained fermion profiles along the extra dimension turn out to undergo some discontinuities, in particular at the Higgs brane, which can be mathematically consistent if the action is well written with improper integrals. We also show that the $\mathbb{Z}_2$ parity transformations in the bulk do not affect the fermion chiralities, masses and couplings, in contrast with the EBC and BBT, but when extended to the fixed points, they can generate the chiral nature of the theory and even select the Standard Model chirality set-up while fixing as well the fermion masses and couplings. Thanks to the strict analysis developed, the duality with the interval model is scrutinised.

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