PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
QED and strong isospin corrections in the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon
L. Parato*, S. Borsanyi, Z. Fodor, J. Guenther, C. Hoelbling, S.D. Katz, L. Lellouch, T. Lippert, K. Miura, K. Szabo, F. Stokes, B.C. Toth, C. Török, L. Varnhorst and  Budapest-Marseille-Wuppertal Collaboration
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Pre-published on: May 16, 2022
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Abstract
Recently, the Budapest-Marseille-Wuppertal collaboration achieved sub-percent precision
in the evaluation of the lowest-order hadronic vacuum polarization contribution to the muon $g_\mu-2$.
At this level of precision, isospin-symmetric QCD is not sufficient.
In this contribution we review how QED and strong-isospin-breaking effects have been included in our work.
Isospin breaking is implemented by expanding the relevant correlation functions to second order in the electric charge $e$
and to first order in $m_u-m_d$.
The correction terms are then computed using isospin-symmetric configurations.
The choice of this approach allows us to better distribute the available computing resources among the various contributions.
DOI: https://doi.org/10.22323/1.396.0358
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