On the application of Effective Field Theory to finite-volume effects in $a_{\mu }^{\mathrm{HVP}}$

Abstract

One of the more important systematic effects affecting lattice computations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_{\mu }^{\mathrm{HVP}}$, is the distortion due to a finite spatial volume. In order to reach sub-percent precision, these effects need to be reliably estimated and corrected for, and one of the methods that has been employed for doing this is finite-volume chiral perturbation theory. In this paper, we argue that finite-volume corrections to $a_{\mu }^{\mathrm{HVP}}$ can, in principle, be calculated at any given order in chiral perturbation theory. More precisely, once all low-energy constants needed to define the Effective Field Theory representation of $a_{\mu }^{\mathrm{HVP}}$ in infinite volume are known to a given order, also the finite-volume corrections can be predicted to that order in the chiral expansion.

arXiv comment33 pages, 3 figures

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Cited by in corpus (9)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Chiral extrapolation of hadronic vacuum polarization
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• Hadronic vacuum polarization to three loops in chiral perturbation theory