Linear confinement without dilaton in bottom-up holography for walking technicolour

TL;DR

This paper demonstrates that in bottom-up holographic models of walking technicolour, the dilaton field can be omitted without affecting the spectrum of spin-one resonances, simplifying the model.

Contribution

It introduces a modified holographic approach where the dilaton is unnecessary, showing how mixing terms influence previous results and enabling new phenomenological predictions.

Findings

Dilaton field is phenomenologically irrelevant for spin-one spectra.

Mixing between Goldstone bosons and axial vector mesons alters previous results.

Predictions are made for testing the holographic technicolour model.

Abstract

In PRD78(2008)055005 [arXiv:0805.1503 [hep-ph]] and PRD79(2009)075004 [arXiv:0809.1324 [hep-ph]], we constructed a holographic description of walking technicolour theories using both a hard- and a soft-wall model. Here, we show that the dilaton field becomes phenomenologically irrelevant for the spectrum of spin-one resonances once a term is included in the Lagrangian that mixes the Goldstone bosons and the longitudinal components of the axial vector mesons. We show how this mixing affects our previous results and we make predictions about how this description of technicolour can be tested.