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The 〈VVA〉 correlator at three loops in perturbative QCD

2012/10/02 by Jorge Mondejar, Jorge Mondéjar, Kirill Melnikov · 16 citations
Physics and Astronomy · #Computer science #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Philosophy #Quantum Chromodynamics and Particle Interactions #Scroll #Theology #hep-ph

paper · pdf · open access · doi:10.1016/j.physletb.2012.12.009

published in Physics Letters B 718(4-5), 1364-1368 (Elsevier BV) · 10 pages

arxiv created 2012/10/02 · openalex publication_date 2012/12/07 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It is known that the correlator of one axial and two vector currents, that receives leading contributions through one-loop fermion triangle diagrams, is not modified by QCD radiative corrections at two loops. It was suggested that this non-renormalization of the 〈 VVA 〉 correlator persists in higher orders in perturbative QCD as well. To check this assertion, we compute the three-loop QCD corrections to the 〈 VVA 〉 correlator using the technique of asymptotic expansions. We find that these corrections do not vanish and that they are proportional to the QCD β -function.

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