Hadronic vacuum polarization and muon g-2 from magnetic susceptibilities on the lattice

Bali, Gunnar S. and Endrodi, Gergely (2015) Hadronic vacuum polarization and muon g-2 from magnetic susceptibilities on the lattice. PHYSICAL REVIEW D, 92 (5): 054506. ISSN 2470-0010, 2470-0029

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Abstract

We present and test a new method to compute the hadronic vacuum polarization function in lattice simulations. This can then be used, e.g., to determine the leading hadronic contribution to the anomalous magnetic moment of the muon. The method is based on computing susceptibilities with respect to external electromagnetic plane wave fields and allows for a precision determination of both the connected and the disconnected contributions to the vacuum polarization. We demonstrate that the statistical errors obtained with our method are much smaller than those quoted in previous lattice studies, primarily due to a very effective suppression of the errors of the disconnected terms. These turn out to vanish within small errors, enabling us to quote an upper limit. We also comment on the accuracy of the vacuum polarization function determined from present experimental R-ratio data.

Item Type: Article
Uncontrolled Keywords: NONPERTURBATIVE RENORMALIZATION; QCD; INVARIANCE; ESTIMATOR;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Jun 2019 08:25
Last Modified: 07 Jun 2019 08:25
URI: https://pred.uni-regensburg.de/id/eprint/4819

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