Deconstruction and elastic {pi}{pi} scattering in Higgsless models
Deconstruction and elastic {pi}{pi} scattering in Higgsless models
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DOI：
10.1103/physrevd.75.035005
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发表时间：
2006-12
影响因子：
5
通讯作者：
R. Chivukula;E. Simmons;H. He;M. Kurachi;M. Tanabashi
中科院分区：
文献类型：
--
作者：
R. Chivukula;E. Simmons;H. He;M. Kurachi;M. Tanabashi
我们研究了全局线性moose模型中的弹性介子-介子散射，并利用等效定理将结果应用于平面和反德西特（AdS）空间中的各种无希格斯模型。为了将全球的糜鹿与无希格斯模型联系起来，我们首先引入了一个块自旋变换，它在连续体中对应于在无希格斯模型中进行坐标变换的自由。我们证明了有可能使线性驼鹿模型的所有f常数f{下标j}都是相同的“f平”解构；在现象学上相关的f-flat模型中，驼鹿两端的群的耦合常数很小——与全局线性驼鹿相对应。在研究介子-介子散射时，我们推导了各种求和规则，包括一个类似于Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin （KSRF）关系的求和规则，并将它们用于评估低能和高能形式的主要弹性部分波散射振幅。我们得到了最轻KK模的弹性统一界作为质量的函数，并讨论了其物理意义。
We study elastic pion-pion scattering in global linear moose models and apply the results to a variety of Higgsless models in flat and anti-de Sitter (AdS) space using the equivalence theorem. In order to connect the global moose to Higgsless models, we first introduce a block-spin transformation which corresponds, in the continuum, to the freedom to perform coordinate transformations in the Higgsless model. We show that it is possible to make an 'f-flat' deconstruction in which all of the f-constants f{sub j} of the linear moose model are identical; the phenomenologically relevant f-flat models are those in which the coupling constants of the groups at either end of the moose are small--corresponding to the global linear moose. In studying pion-pion scattering, we derive various sum rules, including one analogous to the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin (KSRF) relation, and use them in evaluating the low-energy and high-energy forms of the leading elastic partial-wave scattering amplitudes. We obtain elastic unitarity bounds as a function of the mass of the lightest KK mode and discuss their physical significance.