Infrared Zero of $β$ and Value of $γ_m$ for an SU(3) Gauge Theory at the Five-Loop Level

Thomas A. Ryttov, Robert Shrock

Research output: Contribution to journalJournal articleResearchpeer-review

82 Downloads (Pure)

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 Pad\'e 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.
Original languageEnglish
Article number105015
JournalPhysical Review D
Volume94
Issue number10
Pages (from-to)1-5
ISSN2470-0010
DOIs
Publication statusPublished - 2016

Cite this