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

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.

Comments: 29 pages; added references