https://doi.org/10.1140/epjc/s10052-020-7792-2
Regular Article - Theoretical Physics
A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to
1
Laboratoire de Physique des 2 Infinis Iréne Joliot-Curie, Université Paris-Saclay et CNRS/IN2P3, Orsay, France
2
CERN, 1211, Geneva 23, Switzerland
3
LPNHE, Sorbonne Université, Paris Diderot Sorbonne Paris Cité, CNRS/IN2P3, Paris, France
* e-mail: zhangzq@lal.in2p3.fr
Received:
1
August
2019
Accepted:
1
March
2020
Published online:
14
March
2020
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 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 channel. For the muon , we find for the lowest-order hadronic contribution . The full Standard Model prediction differs by from the experimental value. The five-quark hadronic contribution to is evaluated to be .
© The Author(s), 2020