ORCID
- C. McNeile: 0000-0003-0305-2028
Abstract
An accurate determination of the leading-order hadronic vacuum polarization (HVP) contribution to theanomalous magnetic moment of the muon is critical to understanding the size and significance of anydiscrepancy between the Standard Model prediction and experimental results being obtained by the Muong-2 experiment at Fermilab. The Standard Model prediction is currently based on a data-driven approach tothe HVP using experimental results for σðeþe− → hadronsÞ. Lattice QCD aims to provide a result withsimilar uncertainty from calculated vector-vector correlation functions, but the growth of statistical andsystematic errors in the u=d quark correlation functions at large Euclidean time has made this difficult toachieve. We show that restricting the lattice contributions to a one-sided window 0 improve lattice results while still capturing a large fraction of the total HVP. We illustrate this by comparingwindowed lattice results based on the 2019 Fermilab Lattice/HPQCD/MILC HVP analysis withcorresponding results obtained from the KNT19 analysis of Reþe− data. For t1 ¼ 1.5 fm, 70% of thetotal HVP is contained within the window and our lattice result has an error of 0.7%, only about twice as bigas the error from the eþe− analysis. We see a tension of 2.7σ between the two results. With increasedstatistics in the lattice data the one-sided windows will allow stringent tests of lattice and Reþe− results thatinclude a large fraction of the total HVP contribution.
DOI Link
Publication Date
2022-10-24
Publication Title
Physical Review D
Volume
106
Issue
7
ISSN
2470-0010
Acceptance Date
2022-09-27
Deposit Date
2024-06-04
Embargo Period
2022-11-08
Funding
Funding for this work came from the UK Science and Technology Facilities Council (Grant No. ST/T000945/1), the Department of Energy (Awards No. DE-SC0015655, No. DE-SC0010120 and No. DE-SC0010005), the National Science Foundation (Grants No. PHY17-19626 and No. PHY20-13064) and from their Graduate Research Fellowship (under Grant No. DGE 2040434) and from the Universities Research Association (Visiting Scholarship Award No. 21-S-05). This document was prepared using the resources of the Fermi National Accelerator Laboratory (Fermilab), a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC(FRA), acting under Contract No. DE-AC02-07CH11359.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Davies, C., Detar, C., El-Khadra, A., Gottlieb, S., Hatton, D., Kronfeld, A., Lahert, S., Lepage, G., McNeile, C., Neil, E., Peterson, C., Ray, G., Van, d., & Vaquero, A. (2022) 'Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment', Physical Review D, 106(7). Available at: 10.1103/physrevd.106.074509
