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# Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models

Erdmenger, Johanna, Evans, Nick, Porod, Werner and Rigatos, Konstantinos S. (2021) Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models. Journal of High Energy Physics, 2021 (2), [58].

Record type: Article

## Abstract

A holographic model of chiral symmetry breaking is used to study the dynamics plus the meson and baryon spectrum of the underlying strong dynamics in composite Higgs models. The model is inspired by top-down D-brane constructions. We introduce this model by applying it to $N_f=2$ QCD. We compute meson masses, decay constants and the nucleon mass. The spectrum is improved by including higher dimensional operators to reflect the UV physics of QCD. Moving to composite Higgs models, we impose perturbative running for the anomalous dimension of the quark condensate in a variety of theories with varying number of colors and flavours. We compare our results in detail to lattice simulations for the following theories: $SU(2)$ gauge theory with two Dirac fundamentals; $Sp(4)$ gauge theory with fundamental and sextet matter; and $SU(4)$ gauge theory with fundamental and sextet quarks. In each case, the holographic results are encouraging since they are close to lattice results for masses and decay constants. Moreover, our models allow us to compute additional observables not yet computed on the lattice, to relax the quenched approximation and move to the precise fermion content of more realistic composite Higgs models not possible on the lattice. We also provide a new holographic description of the top partners including their masses and structure functions. With the addition of higher dimension operators, we show the top Yukawa coupling can be made of order one, to generate the observed top mass. Finally, we predict the spectrum for the full set of models with top partners proposed by Ferretti and Karateev.

Text
2010.10279v2

Accepted/In Press date: 20 December 2020
e-pub ahead of print date: 8 February 2021
Keywords: hep-lat, hep-ph, hep-th

## Identifiers

Local EPrints ID: 448527
URI: http://eprints.soton.ac.uk/id/eprint/448527
ISSN: 1029-8479
PURE UUID: 5fb86165-c6d6-4cfd-963e-b9af5f81e7ae

## Catalogue record

Date deposited: 23 Apr 2021 16:37

## Contributors

Author: Johanna Erdmenger
Author: Nick Evans
Author: Werner Porod
Author: Konstantinos S. Rigatos