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arXiv · 1510.05319

Finite-volume effects in the hadronic vacuum polarization

Christopher Aubin·Thomas Blum·Peter Chau·Maarten Golterman·Santiago Peris·Cheng Tu
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Abstract

We investigate finite-volume effects in the hadronic vacuum polarization, with an eye toward the corresponding systematic error in the muon anomalous magnetic moment. While it is well known that leading-order chiral perturbation theory does not provide a good description of the hadronic vacuum polarization, it turns out that it gives a much better representation of finite-volume effects. Indications are that finite-volume effects cannot be ignored when the aim is a few percent level accuracy for the hadronic contribution to the muon anomalous magnetic moment, even when $m_πL \sim 4$ and $m_π\sim 200$ MeV.

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Christopher Aubin, Thomas Blum, Peter Chau, Maarten Golterman, Santiago Peris, Cheng Tu. 2015-10-18. Finite-volume effects in the hadronic vacuum polarization. https://arxiv.org/abs/1510.05319

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