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Ideal Fermion Delocalization in Higgsless Models

R. Sekhar Chivukula·Hong-Jian He·Masafumi Kurachi·Elizabeth H. Simmons·Masaharu Tanabashi
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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.

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R. Sekhar Chivukula, Hong-Jian He, Masafumi Kurachi, Elizabeth H. Simmons, Masaharu Tanabashi. 2005-04-22. Ideal Fermion Delocalization in Higgsless Models. https://doi.org/10.1103/physrevd.72.015008

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