The three-loop QCD $\beta$-function and anomalous dimensions

Larin, S A; Vermaseren, J. A. M.

doi:10.1016/0370-2693(93)91441-O

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The three-loop QCD $\beta$-function and anomalous dimensions

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Author(s): S. A. Larin , J. A. M. Vermaseren

Publication date Created: 03 February 1993

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Abstract

The analytic calculation of the three-loop QCD $\beta$-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the $\beta$-function coincides with the previous calculation \cite{tvz}.

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Ultraviolet Behavior of Non-Abelian Gauge Theories

David Gross, Frank Wilczek (1973)

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QCD Perturbation Theory at Low Energies

A. Mattingly, P. Stevenson (1992)

We apply the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of $\R$. The effective couplant remains finite, freezing to a value $\alpha_s/\pi = 0.26$ at low energies. Using Poggio-Quinn-Weinberg smearing we find good agreement between theory and experiment right down to zero energy.