Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD

TL;DR

This paper reports a four-loop calculation of the anomalous dimension for the second moment of non-singlet twist-2 operators in QCD, advancing precision in quantum chromodynamics computations.

Contribution

It provides the first complete four-loop anomalous dimension calculation for the second moment of non-singlet twist-2 operators in QCD with full color and flavor structures.

Findings

First four-loop result for the second moment anomalous dimension

Enhanced precision for QCD operator evolution

Supports future high-precision QCD analyses

Abstract

We present the result of a calculation for the first even moment of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavor structures.