Quark mass anomalous dimension at O(1/Nf2) in QCD
M. Ciuchini, S. E. Derkachov J. A. Gracey, A. N. Manashov
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/Nf2), in the large Nf 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/Nf2) coefficients in the MSbar quark mass anomalous dimension at five loops is deduced and compared with the numerical asymptotic Pade approximant prediction.
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