The correlator of two vector and one axial current in QCD

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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, I compute the three-loop QCD corrections to the
VAA-correlator using the technique of asymptotic expansions. I find that
these corrections do not vanish and that they are proportional to the QCD
beta-function. I will also review some properties of the VVA correlator that were discovered in recent years.