Infrared Zero of beta and Value of gamma_m for an SU(3) Gauge Theory at the Five-Loop Level

Preprint number: CP3-Origins-2016-33 DNRF90
Authors: Thomas A. Ryttov (CP3-Origins & DIAS) and Robert Shrock (C. N. Yang Institute for Theoretical Physics, Stony Brook University)
External link: arXiv.org

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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, γm, of the fermion bilinear at this IR zero of the beta function.