Abstract
For the first time, we compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary color group in the Landau gauge. All new loop integrals are expressed in terms of harmonic polylogarithms at the sixth root of unity. These corrections allow us to derive expressions for the four-loop QCD beta function in a set of momentum-subtraction schemes.
Highlights
The strong coupling constant αs ≡ g2s=ð4πÞ is a fundamental parameter of QCD
It enters the predictions of many Standard Model observables, e.g., the Higgs production cross section [1] at the LHC, and the uncertainty of αs significantly influences the comparison between theory and experiment
Αs is not a physical observable; its value depends on the scale Q2 and the utilized renormalization prescription
Summary
Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point. 2P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Leninskii pr., 5, Moscow 119991, Russia (Received 12 February 2020; accepted 25 March 2020; published 9 April 2020). We compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary color group in the Landau gauge. All new loop integrals are expressed in terms of harmonic polylogarithms at the sixth root of unity. These corrections allow us to derive expressions for the four-loop QCD beta function in a set of momentumsubtraction schemes
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