无Higgs模型中WW散射的一般求和规则：等价定理和解构恒等式
General Sum Rules for WW Scattering in Higgsless Models: Equivalence Theorem and Deconstruction Identities
摘要：
我们分析了在解构的无希格斯玻色子模型中规范玻色子和南部-戈德斯通玻色子的非弹性2到2散射振幅。利用4D（5D）中的（KK）等价定理，我们导出了一组适用于任意解构模型的玻色子质量和多玻色子耦合之间的一般求和规则。考虑到连续极限，我们的结果自然包括了任意5D几何和边界条件下的5D Higgsless模型求和规则;当应用于弹性散射的特殊情况时，它们也简化为弹性求和规则。对于线性解构的Higgsless模型的情况下，我们证明了求和规则也可以从一组一般的解构恒等式和完备性关系导出。我们将这些求和规则应用于解构的3-site Higgsless模型及其扩展;我们表明，一旦非弹性通道变得重要，在5D中忽略所有较高的KK模式（n>1）是不一致的。最后，我们讨论了我们的结果如何推广到线性无希格斯模型的情况之外。
英文摘要：
We analyze inelastic 2 to 2 scattering amplitudes for gauge bosons and Nambu-Goldstone bosons in deconstructed Higgsless models. Using the (KK) Equivalence Theorem in 4D (5D), we derive a set of general sum rules among the boson masses and multi-boson couplings that are valid for arbitrary deconstructed models. Taking the continuum limit, our results naturally include the 5D Higgsless model sum rules for arbitrary 5D geometry and boundary conditions; they also reduce to the elastic sum rules when applied to the special case of elastic scattering. For the case of linear deconstructed Higgsless models, we demonstrate that the sum rules can also be derived from a set of general deconstruction identities and completeness relations. We apply these sum rules to the deconstructed 3-site Higgsless model and its extensions; we show that in 5D ignoring all higher KK modes (n>1) is inconsistent once the inelastic channels become important. Finally, we discuss how our results generalize beyond the case of linear Higgsless models.
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