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

M. Ciuchini·S. E. Derkachov J. A. Gracey·A. N. Manashov
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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.

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M. Ciuchini, S. E. Derkachov J. A. Gracey, A. N. Manashov. 1999-03-19. Quark mass anomalous dimension at O(1/N_f^2) in QCD. https://doi.org/10.1016/s0370-2693(99)00573-0

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