Finite-Size Effects of the HVP Contribution to the Muon g - 2 with C* Boundary Conditions

Sofie Martins, Agostino Patella

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The muon g - 2 is a compelling quantity due to the current standing tensions among the experimental average, data-driven theoretical results, and lattice results. Matching the final target accuracy of the experiments at Fermilab and J-PARC will constitute a major challenge for the lattice community in the coming years. For this reason, it is worthwhile to consider different options to keep the systematic errors under control. In this proceedings, we discuss finite-volume effects of the leading Hadron Vacuum Polarization (HVP) contribution to the muon g - 2 in the presence of C* boundary conditions. When considering isospin-breaking corrections to the HVP, C* boundary conditions provide a possible consistent formulation of QCD + QED in finite volume. Even though these boundary conditions can be avoided in the calculation of the leading HVP contribution, we find the interesting result that they remove the leading exponential finite-volume correction. In practice, compared to the periodic case, C* boundary conditions cut the finite-size effects in half on a lattice of physical size MπL = 4 and by a factor of almost ten for MπL = 8. We discuss the origin of this reduction and implications for computational efficiency.

Original languageEnglish
Article number323
JournalProceedings of Science
Publication statusPublished - 6. Apr 2023
Event39th International Symposium on Lattice Field Theory - Bonn, Germany
Duration: 8. Aug 202213. Aug 2022


Conference39th International Symposium on Lattice Field Theory


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