论文标题
$ \ Mathcal {s}^1 / \ Mathbb {z} _2 $ orbifold模型的严格处理
Rigorous treatment of the $\mathcal{S}^1 / \mathbb{Z}_2$ orbifold model with brane-Higgs couplings
论文作者
论文摘要
我们严格地构建有吸引力的五维模型，其中散装费米子沿着$ \ mathcal {s}^1 / \ mathbb {z} _2 $ orbifold散发，并与额外尺寸的固定点的higgs boson进行交互。表明费米亚质谱和有效的Yukawa耦合的分析计算表明需要在动作中引入由模型定义或某些双线性毛线项（BBT）施加的基本边界条件（EBC），而不是通常的Brane-higgs正规化。沿额外尺寸所获得的费米昂剖面事实遇到了一些不连续性，尤其是在希格斯·布兰（Higgs Brane）上，如果该动作写得很好，则可以在数学上保持一致。我们还表明，与EBC和BBT相反，$ \ mathbb {z} _2 $均值转换不会影响费米的手势，质量和耦合，但是当扩展到固定点时，它们可以在理论的手势上生成标准模型的手段设置，并且可以在修复福利时生成标准的模型刺耳性。得益于制定的严格分析，仔细检查了间隔模型的二元性。
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.
