A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to [Formula omitted]

• Published in: The European physical journal. C, Particles and fields Vol. 80; no. 3
• Main Authors: Davier, M, Hoecker, A, Malaescu, B, Zhang, Z
• Format: Journal Article
• Language: English
• Published: Springer 14.03.2020
• Subjects: Analysis; Electromagnetism
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-7792-2

We reevaluate the hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the Z-boson mass. We include newest [Formula omitted] cross-section data together with a phenomenological fit of the threshold region in the evaluation of the dispersion integrals. The precision in the individual datasets cannot be fully exploited due to discrepancies that lead to additional systematic uncertainty in particular between BABAR and KLOE data in the dominant [Formula omitted] channel. For the muon [Formula omitted], we find for the lowest-order hadronic contribution [Formula omitted]. The full Standard Model prediction differs by [Formula omitted] from the experimental value. The five-quark hadronic contribution to [Formula omitted] is evaluated to be [Formula omitted].