Short-distance constraints on the hadronic light-by-light

¹ Department of Astronomy and Theoretical Physics, Lund University, Sölvegatan 14 A, 223 62 Lund, Sweden
² Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
³ Scuola Internazionale Superiore di Studi Avanzati (SISSA), Via Bonomea 265, 34136, Trieste, Italy

^* e-mail: johan.bijnens@thep.lu.se
^** e-mail: nils.hermansson-truedsson@thep.lu.se
^*** e-mail: arodrigu@sissa.it

Published online: 22 December 2022

Abstract

The muon anomalous magnetic moment continues to attract interest due to the potential tension between experimental measurement [1, 2] and the Standard Model prediction [3]. The hadronic light-by-light contribution to the magnetic moment is one of the two diagrammatic topologies currently saturating the theoretical uncertainty. With the aim of improving precision on the hadronic light-by-light in a data-driven approach founded on dispersion theory [4, 5], we derive various short-distance constraints of the underlying correlation function of four electromagnetic currents. Here, we present our previous progress in the purely short-distance regime and current efforts in the so-called Melnikov-Vainshtein limit.