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

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 e2 electromagnetic corrections. In the quantum electrodynamics prescription QEDL these arise at order 1/L3 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.

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