Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory

Johan Bijnens, Nils Hermansson-Truedsson, Laetitia Laub, Antonio Rodríguez-Sánchez

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

Sammanfattning

The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared (Qi2) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three Qi2 are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE. We build a renormalisation program for the OPE. The numerical role of the higher-order contributions is estimated and found to be small.

Originalspråkengelska
Artikelnummer203
TidskriftJournal of High Energy Physics
Volym2020
Nummer10
DOI
StatusPublished - 2020

Ämnesklassifikation (UKÄ)

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