A hatted representation of transcendental constants, fixed from four-loop integrals, predicts the pi-dependent terms in seven- and eight-loop beta functions and anomalous dimensions.
Quark mass anomalous dimension at O(1/N_f^2) in QCD
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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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Transcendental structure of multiloop massless correlators and anomalous dimensions
A hatted representation of transcendental constants, fixed from four-loop integrals, predicts the pi-dependent terms in seven- and eight-loop beta functions and anomalous dimensions.