Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime

A bstract The muon anomalous magnetic moment continues to attract attention due the possible tension between experimentally measured value and theoretical Standard Model prediction. With aim reduce uncertainty on hadronic light-by-light contribution moment, we derive short-distance constraints in Melnikov-Vainshtein regime which are useful for data-driven determinations. In this kinematical region, two of four electromagnetic currents close four-point function defining tensor. To obtain constraints, develop a systematic operator product expansion tensor question next-to-leading order operators. We evaluate leading α s contributions operators that also valid nonperturbatively.