Symmetric point quartic gluon vertex and momentum subtraction

TL;DR

This paper calculates the one-loop correction to the symmetric quartic gluon vertex in QCD, introduces a new MOM scheme, and derives two-loop renormalization group functions for it.

Contribution

It presents a novel MOM scheme based on the symmetric quartic gluon vertex and provides two-loop renormalization group functions within this scheme.

Findings

Full one-loop correction to the symmetric quartic gluon vertex computed.

A new MOM scheme defined and characterized.

Two-loop renormalization group functions derived for the scheme.

Abstract

We compute the full one loop correction to the quartic vertex of QCD at the fully symmetric point. This allows us to define a new momentum subtraction (MOM) scheme in the class of schemes introduced by Celmaster and Gonsalves. Hence using properties of the renormalization group equation, the two loop renormalization group functions for this scheme are given.