One-Loop Renormalization of the Higgs Sector of the Electroweak Chiral Lagrangian extended by N Scalar Singlets

TL;DR

This paper extends the electroweak chiral Lagrangian with a light Higgs by adding N scalar singlets, performing one-loop renormalization, and providing a framework for scalar extensions.

Contribution

It generalizes the one-loop renormalization of the electroweak chiral Lagrangian to include N scalar singlets, building on previous work with a single scalar.

Findings

Derived divergence structures for multiple scalars

Validated results against single scalar case

Established a comprehensive renormalization framework

Abstract

The framework of the electroweak chiral Lagrangian with a light Higgs is extended by an additional scalar and then generalized to N scalars in the Higgs sector. Divergences from scalar fluctuations are renormalized up to one loop using the background field method. The results are crosschecked against the case of one scalar. A subset of the divergences is demonstrated and crosschecked diagrammatically. Together with the complete one-loop renormalization of the electroweak chiral theory with one light Higgs conducted previously, this constitutes a renormalization framework of any pure scalar extension to the electroweak chiral theory.