Identifying Better Effective Higgsless Theories via W_L W_L Scattering

TL;DR

This paper evaluates the effectiveness of the three site Higgsless model in representing general Higgsless theories through W_L W_L scattering, and explores modifications to improve its accuracy.

Contribution

It introduces a comparison framework using sum rules and analyzes extensions like the HLS Higgsless model to better mimic continuum models.

Findings

The three site Higgsless model can approximate continuum models with modifications.

The HLS extension closely matches continuum scattering when parameter 'a' mimics rho-meson dominance.

Sum rules effectively compare different Higgsless models.

Abstract

The three site Higgsless model has been offered as a benchmark for studying the collider phenomenology of Higgsless models. In this talk, we present how well the three site Higgsless model performs as a general representative of Higgsless models in describing W_L W_L scattering, and which modifications can make it more representative. We employ general sum rules relating the masses and couplings of the Kaluza-Klein (KK) modes of the gauge fields in continuum and deconstructed Higgsless models as a way to compare the different theories. After comparing the three site Higgsless model to flat and warped continuum Higgsless models, we analyze an extensions of the three site Higgsless model, namely, the Hidden Local Symmetry (HLS) Higgsless model. We demonstrate that W_LW_L scattering in the HLS Higgsless model can very closely approximate scattering in the continuum models, provided that the parameter `a' is chosen to mimic rho-meson dominance of pi-pi scattering in QCD.