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arXiv · 2008.03809

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

Christopher Aubin·Thomas Blum·Maarten Golterman·Santiago Peris
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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, $a_\mu^{\rm HVP}$, 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 $a_\mu^{\rm HVP}$ 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 $a_\mu^{\rm HVP}$ in infinite volume are known to a given order, also the finite-volume corrections can be predicted to that order in the chiral expansion.

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Christopher Aubin, Thomas Blum, Maarten Golterman, Santiago Peris. 2020-08-09. On the application of Effective Field Theory to finite-volume effects in $a_\mu^{\rm HVP}$. https://doi.org/10.1103/physrevd.102.094511

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