Electroweak precision tests of composite Higgs models

TL;DR

This paper evaluates how composite Higgs models with fermion partial compositeness align with electroweak precision data, including recent W-boson mass measurements, highlighting their compatibility within current experimental bounds.

Contribution

It provides a detailed analysis of electroweak constraints on composite Higgs models with fermion partial compositeness, incorporating recent experimental results and theoretical predictions.

Findings

Good agreement between composite models and electroweak data

Composite Higgs sector yields small positive S and negative T parameters

Fermion partial compositeness can produce an overall positive T parameter

Abstract

We study constraints on Composite Higgs models with fermion partial compositeness from electroweak precision measurements, including the 2022 $W$-boson mass result from the CDF collaboration. We focus on models where the Composite Higgs sector arises from underlying four-dimensional strongly interacting gauge theories with fermions, and where the SM fermions obtain their mass via linear mixing terms between the fermions and the composite sector -- the so-called fermion partial compositeness scenario. In general, the Composite Higgs sector leads to a small and positive $S$ parameter, and a negative $T$ parameter, but the fermion partial compositeness sector results in an overall positive $T$ parameter in a large part of parameter space. We, therefore, find good agreement between the full composite models and the current electroweak precision measurement bounds on $S$ and $T$ from LEP and CDF, including the offset and correlation of $S,T$ with respect to the SM predictions.