Matching to Higgs-Compositeness and Renormalization of the Higgs-Electroweak Chiral Lagrangian extended by a Scalar Singlet

TL;DR

This paper connects the electroweak chiral Lagrangian with singlet scalars to a composite Higgs model, analyzing scalar divergences and deriving an effective theory with a light Higgs after integrating out heavy scalars.

Contribution

It provides a detailed matching procedure between a two-scalar composite Higgs model and the electroweak chiral Lagrangian with a light Higgs, including one-loop divergence analysis.

Findings

Scalar divergences computed at one loop

Effective Lagrangian derived after integrating out heavy scalars

Framework for connecting composite Higgs models to low-energy effective theories

Abstract

We match the electroweak chiral Lagrangian with two singlet scalars to the next-to-minimal composite Higgs model with $ SO(6)/SO(5) $ coset structure and extract the scalar divergences to one loop. Assuming the additional scalar to be heavy, we integrate it out and perform a matching to the well-established electroweak chiral Lagrangian with one light Higgs.