The anomalous dimension of spin-1/2 baryons in many flavors QCD

TL;DR

This paper calculates the anomalous dimension of spin-1/2 baryons in many-flavor QCD at leading order, addressing scheme ambiguities and confirming consistency with higher-loop results across different renormalization schemes.

Contribution

It provides a leading 1/Nf order calculation of baryon anomalous dimensions in QCD, clarifying scheme dependence and matching previous multi-loop results.

Findings

Agreement with 2 and 3 loop calculations

Addresses scheme ambiguity from evanescent operators

Provides a leading order analytical result in 1/Nf expansion

Abstract

The anomalous dimension of spin-1/2 baryon operators in QCD is derived at leading 1/Nf order using the minimal subtraction scheme. A residual ambiguity, originating from the presence of evanescent operators in dimensional regularization, is parametrized by a function of the renormalized coupling. Our result is shown to agree with previous 2 and 3 loop calculations performed in two different renormalization schemes.