On the QCD corrections to Vainshtein's theorem for VVA correlator

Abstract

We point out that, contrary to existing claims of the opposite, Vainshtein's theorem on the non-renormalization of the correlator of an axial and two vector currents, is only valid in the chiral limit. When quarks, that contribute to the correlator, are massive, the QCD corrections do not vanish and the transversal and longitudinal functions are renormalized differently. We compute those corrections and study their implications for QCD effects in electroweak corrections to the muon anomalous magnetic moment.

6 pages, 4 figures

Cited by in corpus (5)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Axial anomaly as a collective effect of meson spectrum
• Dispersion relations for the hadronic VVA correlator
• Improved evaluation of the electroweak contribution to muon $g-2$
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$