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

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

preprint2016arXivOpen access
Thomas A. RyttovRobert Shrock
hep-th
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Thomas A. RyttovRobert Shrock

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