Vector and Axial-vector resonances in composite models of the Higgs boson

TL;DR

This paper develops a formalism for describing vector and axial-vector resonances in composite Higgs models, providing a framework for phenomenological analysis and experimental constraints relevant for current and future colliders.

Contribution

It introduces a non-linear realization of composite Higgs models with SU(4)/Sp(4) symmetry, including spin-1 resonances using the CCWZ and Hidden Symmetry formalisms, and analyzes experimental bounds.

Findings

Constraints from di-lepton and di-boson LHC searches on spin-1 resonances.

Predicted spectrum of resonances from lattice gauge theory.

Framework applicable to future collider phenomenology.

Abstract

We provide a non-linear realisation of composite Higgs models in the context of the SU(4)/Sp(4) symmetry breaking pattern, where the effective Lagrangian of the spin-0 and spin-1 resonances is constructed via the CCWZ prescription using the Hidden Symmetry formalism. We investigate the EWPT constraints by accounting the effects from reduced Higgs couplings and integrating out heavy spin-1 resonances. This theory emerges from an underlying theory of gauge interactions with fermions, thus first principle lattice results predict the massive spectrum in composite Higgs models. This model can be used as a template for the phenomenology of composite Higgs models at the LHC and at future 100 TeV colliders, as well as for other application. In this work, we focus on the formalism for spin-1 resonances and their bounds from di-lepton and di-boson searches at the LHC.