Structure-dependent electromagnetic finite-volume effects to the hadronic vacuum polarisation

TL;DR

This paper investigates the leading structure-dependent electromagnetic finite-volume effects in the hadronic vacuum polarization, which are crucial for precise calculations of the muon g-2 and are analyzed within the QED_L framework.

Contribution

It presents preliminary results and discusses the prospects of determining the order $e^2$ electromagnetic finite-volume effects in the hadronic vacuum polarization.

Findings

Finite-volume effects arise at order 1/L^3 in large-volume expansion.

Understanding these effects is important for isospin-breaking corrections to muon g-2.

Results are relevant for lattice QCD calculations of electromagnetic corrections.

Abstract

In this talk we present some preliminary results and discuss the prospects of determining the leading structure-dependent finite-volume effects in the hadronic vacuum polarisation associated to order $e^2$ electromagnetic corrections. In the quantum electrodynamics prescription $\textrm{QED}_{\textrm{L}}$ these arise at order $1/L^3$ in the large-volume expansion, which is also the leading order because of the neutrality of the currents defining the underlying correlation function. Knowing the size of the finite-volume effects in question is relevant for determinations of the leading isospin-breaking corrections to the muon anomalous magnetic moment coming from the hadronic vacuum polarisation.