Maximal abelian and Curci-Ferrari gauges in momentum subtraction at three loops

TL;DR

This paper analyzes the vertex structure of QCD in the maximal abelian and Curci-Ferrari gauges at two loops, and computes three-loop renormalization group functions in momentum subtraction schemes.

Contribution

It provides the first detailed two-loop vertex analysis and three-loop renormalization group functions for QCD in these specific gauges and schemes.

Findings

Vertex structures characterized at two loops.

Three-loop renormalization group functions computed.

Results applicable to momentum subtraction schemes.

Abstract

The vertex structure of QCD fixed in the maximal abelian gauge (MAG) and Curci-Ferrari gauge is analysed at two loops at the fully symmetric point for the 3-point functions corresponding to the three momentum subtraction (MOM) renormalization schemes. Consequently the three loop renormalization group functions are determined for each of these three schemes in each gauge using properties of the renormalization group equation.