Yang-Mills Models in the Causal Approach: Perturbation Theory up to the Second Order

TL;DR

This paper develops a causal perturbation theory framework for Yang-Mills models, deriving the most general interaction Lagrangian up to second order, including multiple Higgs fields.

Contribution

It provides a comprehensive derivation of the interaction Lagrangian for Yang-Mills models with multiple Higgs fields within the causal approach, up to second order.

Findings

Derived the general form of the interaction Lagrangian for multiple Higgs fields.

Extended the causal approach to second-order perturbation theory for Yang-Mills models.

Clarified the structure of interactions in the standard model within this framework.

Abstract

We consider the standard model up to the second order of the perturbation theory (in the causal approach) and derive the most general form of the interaction Lagrangian for an arbitrary number of Higgs fields.