The standard model in the on-shell scheme

TL;DR

This paper presents a scheme-independent renormalization approach for the Standard Model using Slavnov-Taylor identities, emphasizing physical fields and deriving the Callan-Symanzik equation.

Contribution

It introduces a renormalization method based on Slavnov-Taylor identities that avoids reliance on specific subtraction schemes, applicable to all orders.

Findings

Formulation of Ward-identity for global gauge invariance

Derivation of the Callan-Symanzik equation within this framework

A scheme-independent renormalization approach for the Standard Model

Abstract

We outline the renormalization of the standard model to all orders of perturbation theory in a way which does not make essential use of a specific subtraction scheme but is based on the Slavnov-Taylor identity. Physical fields and parameters are used throughout the paper. The Ward-identity for the global gauge invariance of the vertex functions is formulated. As an application the Callan-Symanzik equation is derived.