Journal article

Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon


Authors listEichmann, Gernot; Fischer, Christian S.; Weil, Esther; Williams, Richard

Publication year2019

JournalPhysics Letters B

Volume number797

ISSN0370-2693

eISSN1873-2445

Open access statusGold

DOI Linkhttps://doi.org/10.1016/j.physletb.2019.134855

PublisherElsevier


Abstract
We present results for single pseudoscalar meson pole contributions and pion box contributions to the hadronic light-by-light (LBL) correction of the muon's anomalous magnetic moment. We follow the recently developed dispersive approach to LBL, where these contributions are evaluated with intermediate mesons on-shell. However, the space-like electromagnetic and transition form factors are not determined from analytic continuation of time-like data, but directly calculated within the functional approach to QCD using Dyson-Schwinger and Bethe-Salpeter equations. This strategy allows for a systematic comparison with a strictly dispersive treatment and also with recent results from lattice QCD. Within error bars, we obtain excellent agreement for the pion electromagnetic and transition form factor and the resulting contributions to LBL. In addition, we present results for the eta and eta' pole contributions and discuss the dynamical effects in the eta - eta' mixing due to the strange quarks. Our result for the total pseudoscalar pole contributions is a(mu)(PS-pole) = 91.6 (1.9) x 10(-11) and for the pion-box contribution we obtain a(mu)(pi-box) = -16.6 (1)(7) x 10(-11). (C) 2019 The Author(s). Published by Elsevier B.V.



Citation Styles

Harvard Citation styleEichmann, G., Fischer, C., Weil, E. and Williams, R. (2019) Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon, Physics Letters B, 797, Article 134855. https://doi.org/10.1016/j.physletb.2019.134855

APA Citation styleEichmann, G., Fischer, C., Weil, E., & Williams, R. (2019). Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon. Physics Letters B. 797, Article 134855. https://doi.org/10.1016/j.physletb.2019.134855



Keywords


HADRONIC CONTRIBUTIONSQCD

Last updated on 2025-10-06 at 11:04