Constraining Composite Higgs Models using LHC data

TL;DR

This paper analyzes how composite Higgs models' couplings are constrained by LHC data, showing that extended models with multiple Yukawa invariants relax bounds on the compositeness scale.

Contribution

It introduces a generic phenomenological framework for composite Higgs models with extended Yukawa sectors and demonstrates how these relax experimental bounds.

Findings

Relaxed the bound on the compositeness scale to f > 640 GeV.

Showed that multiple Yukawa invariants lead to decorrelated gauge and Yukawa couplings.

Performed detailed chi-square fits with LHC Run 1 and 2 data.

Abstract

We systematically study the modifications in the couplings of the Higgs boson, when identified as a pseudo Nambu-Goldstone boson of a strong sector, in the light of LHC Run 1 and Run 2 data. For the minimal coset SO(5)/SO(4) of the strong sector, we focus on scenarios where the standard model left- and right-handed fermions (specifically, the top and bottom quarks) are either in 5 or in the symmetric 14 representation of SO(5). Going beyond the minimal 5L-5R representation, to what we call here the 'extended' models, we observe that it is possible to construct more than one invariant in the Yukawa sector. In such models, the Yukawa couplings of the 125 GeV Higgs boson undergo nontrivial modifications. The pattern of such modifications can be encoded in a generic phenomenological Lagrangian which applies to a wide class of such models. We show that the presence of more than one Yukawa invariant allows the gauge and Yukawa coupling modifiers to be decorrelated in the 'extended' models, and this decorrelation leads to a relaxation of the bound on the compositeness scale (f > 640 GeV at 95% CL, as compared to f > 1 TeV for the minimal 5L-5R representation model). We also study the Yukawa coupling modifications in the context of the next-to-minimal strong sector coset SO(6)/SO(5) for fermion-embedding up to representations of dimension 20. While quantifying our observations, we have performed a detailed chi-square fit using the ATLAS and CMS combined Run 1 and available Run 2 data.