Infrared Zero of $\beta$ and Value of ${\gamma }_m$ for an SU(3) Gauge Theory at the Five-Loop Level

Abstract

We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and analyses of Padé approximants are used for this purpose. We then calculate the value of the five-loop anomalous dimension, ${\gamma }_m$, of the fermion bilinear at this IR zero of the beta function.

5 pages, latex

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