TL;DR
This paper provides comprehensive three-loop QCD beta-function calculations in three MOM schemes, enhancing precision in understanding the strong interaction's behavior across different renormalization schemes.
Contribution
It delivers the full three-loop expressions for QCD beta-functions in MOM schemes for any color group, extending previous SU(3) specific results.
Findings
Results agree well with existing SU(3) numerical estimates.
Provides explicit formulas for arbitrary color groups.
Enhances the accuracy of QCD renormalization calculations.
Abstract
We present the full expressions for the QCD beta-function in the MOMggg, MOMq and MOMh renormalization schemes at three loops for an arbitrary colour group in the Landau gauge. The results for all three schemes are in very good agreement with the SU(3) numerical estimates provided by Chetyrkin and Seidensticker.
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