https://doi.org/10.1140/epjc/s10052-021-08848-9
Regular Article – Theoretical Physics
Impact of correlations between
and
on the EW fit
1
LPNHE, Sorbonne Université, Université de Paris, CNRS/IN2P3, Paris, France
2
Institute of Physics, Johannes Gutenberg University, Mainz, Germany
Received:
21
August
2020
Accepted:
8
January
2021
Published online:
19
January
2021
We study the potential impact on the electroweak (EW) fits due to the tensions between the current determinations of the hadronic vacuum polarisation (HVP) contributions to the anomalous magnetic moment of the muon (), based on either phenomenological dispersion integrals using measured hadronic spectra or on Lattice QCD calculations. The impact of the current tension between the experimental measurement of
and the total theoretical prediction based on the phenomenological calculations of the HVP is also studied. The correlations between the uncertainties of the theoretical predictions of
and of the running of
are taken into account in the studies. We conclude that the impact on the EW fit can be large in improbable scenarios involving global shifts of the full HVP contribution, while it is much smaller if the shift is restricted to a lower mass range and/or if the shift in
is obtained from that in
through appropriate use of the correlations. Indeed, the latter scenarios only imply at most a 2.6/16 increase in the
of the EW fits and relatively small changes for the resulting fit parameter values.
© The Author(s) 2021
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3