We compute the d-dimensional critical exponents corresponding to the wave f
unction 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 equi
valence of QCD and the non-abelian Thirring model beyond leading order. The
form of the O(1/N-f(2)) coefficients in the <(MS)over bar> quark mass anom
olous dimension at five loops is deduced and compared with the numerical as
ymptotic Pade approximant prediction. (C) 1999 Published by Elsevier Scienc
e B.V. All rights reserved.