Davies, C. T. H. et al. (2022) Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment. Physical Review D, 106, 074509. (doi: 10.1103/PhysRevD.106.074509)
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Abstract
An accurate determination of the leading-order hadronic vacuum polarisation (HVP) contribution to the anomalous magnetic moment of the muon is critical to understanding the size and significance of any discrepancy between the Standard Model prediction and experimental results being obtained by the Muon g-2 experiment at Fermilab. The Standard Model prediction is currently based on a data-driven approach to the HVP using experimental results for σ ( e + e − → h a d r o n s ) . Lattice QCD aims to provide a result with similar uncertainty from calculated vector-vector correlation functions, but the growth of statistical and systematic errors in the u / d quark correlation functions at large Euclidean time has made this difficult to achieve. We show that restricting the lattice contributions to a one-sided window 0 l e s s t h a n t l e s s t h a n t 1 can greatly improve lattice results while still capturing a large fraction of the total HVP. We illustrate this by comparing windowed lattice results based on the 2019 Fermilab Lattice/HPQCD/MILC HVP analysis with corresponding results obtained from the KNT19 analysis of R e + e − data. For t 1 = 1.5 ,fm, 70% of the total HVP is contained within the window and our lattice result has an error of 0.7%, only about twice as big as the error from the e + e − ~analysis. We see a tension of 2.7 σ between the two results. With increased statistics in the lattice data the one-sided windows will allow stringent tests of lattice and R e + e − results that include a large fraction of the total HVP contribution.
| Item Type: | Articles |
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| Additional Information: | 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. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Hatton, Dr Daniel and Davies, Professor Christine |
| Authors: | Davies, C. T. H., DeTar, C., El-Khadra, A. X., Gottlieb, S., Hatton, D., Kronfeld, A. S., Lahert, S., Lepage, G. P., McNeile, C., Neil, E. T., Peterson, C. T., Ray, G. S., Van de Water, R. S., and Vaquero, A. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Physical Review D |
| Publisher: | American Physical Society |
| ISSN: | 2470-0010 |
| ISSN (Online): | 2470-0029 |
| Published Online: | 24 October 2022 |
| Copyright Holders: | Copyright © 2022 The Authors |
| First Published: | First published in Physical Review D 106:074509 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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