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

TL;DR

This paper derives short-distance constraints on the correlation functions relevant to the hadronic light-by-light contribution to the muon g-2, aiming to improve theoretical precision in a data-driven, dispersion theory framework.

Contribution

It advances the understanding of short-distance behavior of four-current correlators, focusing on the Melnikov-Vainshtein limit, to refine the hadronic light-by-light calculations.

Findings

Derived new short-distance constraints for correlation functions.

Progress in the Melnikov-Vainshtein limit analysis.

Enhanced theoretical foundation for muon g-2 calculations.

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.