2019/10/31 by Gernot Eichmann, Christian S. Fischer, Richard Williams
Physics and Astronomy · #hep-ph #hep-lat
paper · pdf · doi:10.1103/physrevd.101.054015
published as Phys. Rev. D 101, 054015 (2020) · 6 pages, 4 figures; v3: improved numerics, updated number for kaon-box, conclusions unchanged. arXiv admin note: text overlap with arXiv:1903.10844
arxiv created 2020/02/18 · arxiv updated 2020/03/18
We present results for the charged kaon-box contributions to the hadronic light-by-light (HLBL) correction of the muon's anomalous magnetic moment. To this end we determine the kaon electromagnetic form factor within the functional approach to QCD using Dyson-Schwinger and Bethe-Salpeter equations and evaluate the kaon-box contribution as defined in the dispersive approach to HLBL. As an update to previous work we also re-evaluate the charged pion-box contribution taking effects due to isospin breaking into account. Our results are aμπ^±-box = -15.7 (2)(3) × 10-11 and aμK^±-box = -0.48 (2)(4) × 10-11 thus confirming the large suppression of box contributions beyond the leading pion box.