A Four-site Higgsless Model with Wavefunction Mixing

TL;DR

This paper introduces a four-site Higgsless model with wavefunction mixing, analyzing its spectrum, gauge interactions, and electroweak parameters, providing insights into its phenomenological viability and specific decay channels.

Contribution

It presents a novel four-site Higgsless model incorporating wavefunction mixing and computes key electroweak properties and conditions for decay suppression.

Findings

Spectrum of the model computed.

Electroweak parameters evaluated to O(M_W^2/M_rho^2).

Conditions for vanishing S parameter and suppressed a_1 to W gamma decay identified.

Abstract

Motivated by models of holographic technicolor, we discuss a four-site deconstructed Higgsless model with nontrivial wavefunction mixing. We compute the spectrum of the model, the electroweak triple gauge boson vertices, and, for brane-localized fermions, the electroweak parameters to O(M^2_W/M^2_rho). We discuss the conditions under which "S" vanishes (even for brane-localized fermions) and the (distinct but overlapping) conditions under which the phenomenologically interesting decay a_1 to W gamma is non-zero and suppressed by only one power of M_W/M_rho.