Quark mass anomalous dimension at O(1/N_f^2) in QCD

TL;DR

This paper calculates the quark mass anomalous dimension at the O(1/N_f^2) order in QCD, providing new theoretical insights into its behavior at high orders and comparing with numerical predictions.

Contribution

It introduces a novel calculation of the quark mass anomalous dimension at O(1/N_f^2) in QCD, extending previous large N_f expansion results.

Findings

Derived the O(1/N_f^2) coefficients in the MSbar scheme at five loops.

Established the equivalence of QCD and non-abelian Thirring model beyond leading order.

Compared theoretical coefficients with numerical asymptotic Pade approximant predictions.

Abstract

We compute the d-dimensional critical exponents corresponding to the wave function and mass renormalization of the quark in QCD in the Landau gauge at a new order, O(1/N_f^2), in the large N_f expansion. The computations are simplified by the establishment in d-dimensions of the critical point equivalence of QCD and the non-abelian Thirring model beyond leading order. The form of the O(1/N_f^2) coefficients in the MSbar quark mass anomalous dimension at five loops is deduced and compared with the numerical asymptotic Pade approximant prediction.