Deconstruction and elastic pi pi scattering in Higgsless models

作者：Sekhar Chivukula R; Simmons Elizabeth H; He Hong Jian; Kurachi Masafumi; Tanabashi Masaharu

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2007, 75(3): 035005.

DOI：10.1103/PhysRevD.75.035005

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(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.

• 出版日期2007-2
• 单位清华大学