Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the minimal MOM Scheme

Preprint number: CP3-Origins-2013-43 DNRF90 and DIAS-2013-43
Author: Thomas Ryttov (CP3-Origins & DIAS)
External link: arXiv.org

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We continue and expand the investigations initiated in arXiv:1309.3867 and study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for non-supersymmetric gauge theories. This is done in the minimal momentum subtraction, mMOM, scheme at the three loop level where all the renormalization group functions have been calculated explicitly. The purpose is to assess the scheme dependence of earlier and similar investigations performed at the four loop level in the modified minimal subtraction, MS, scheme and at the three loop level in the modified regularization invariant, RI’, scheme. Scheme dependence is found to be very mild when compared to the MS scheme while results are of the same order when compared to the RI’ scheme.