A new evaluation of the hadronic vacuum polarisation contributions to the muon $\mathbf{g-2}$ and $\mathbf{\alpha(m^2_Z)}$
Pre-published on:
September 28, 2020
Published on:
November 12, 2020
Abstract
The hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the $Z$-boson mass are reevaluated. Newest $e^+e^- \to {\rm hadrons}$ cross-section data are included together with a phenomenological fit of the $\pi^+\pi^-$ 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 $\pi^+\pi^-$ channel. For the muon $(g-2)/2$, the lowest-order hadronic contribution obtained is $(693.9 \pm 4.0)\cdot10^{-10}$. The full Standard Model prediction differs by $3.3\sigma$ from the experimental value. The five-quark hadronic contribution to $\alpha(m^2_Z)$ is evaluated to be $(276.1\pm1.0)\cdot10^{-4}$.
DOI: https://doi.org/10.22323/1.364.0514
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.