Ideal Fermion Delocalization in Higgsless Models
Abstract
In this note we examine the properties of deconstructed Higgsless models for the case of a fermion whose SU(2) properties arise from delocalization over many sites of the deconstructed lattice. We derive expressions for the correlation functions and use these to establish a generalized consistency relation among correlation functions. We discuss the form of the W boson wavefunction and show that if the probability distribution of the delocalized fermions is appropriately related to the W wavefunction, then deviations in precision electroweak parameters are minimized. In particular, we show that this "ideal fermion delocalization" results in the vanishing of three of the four leading zero-momentum electroweak parameters defined by Barbieri, et. al. We then discuss ideal fermion delocalization in the context of two continuum Higgsless models, one in Anti-deSitter space and one in flat space. Our results may be applied to any Higgsless linear moose model with multiple SU(2) groups, including those with only a few extra vector bosons.
Cite
@article{arxiv.hep-ph/0504114,
title = {Ideal Fermion Delocalization in Higgsless Models},
author = {R. Sekhar Chivukula and Hong-Jian He and Masafumi Kurachi and Elizabeth H. Simmons and Masaharu Tanabashi},
journal= {arXiv preprint arXiv:hep-ph/0504114},
year = {2008}
}
Comments
21 pages, 2 eps figures; minor typos corrected