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Title: Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon

Abstract

Here, the π 0 pole constitutes the lowest-lying singularity of the hadronic light-by-light (HLBL) tensor, and thus, it provides the leading contribution in a dispersive approach to HLBL scattering in the anomalous magnetic moment of the muon (g–2) μ. It is unambiguously defined in terms of the doubly virtual pion transition form factor, which in principle, can be accessed in its entirety by experiment. We demonstrate that, in the absence of a direct measurement, the full spacelike doubly virtual form factor can be reconstructed very accurately based on existing data for e +e → 3π, e +e → e +e π 0, and the π 0 → γγ decay width. We derive a representation that incorporates all the low-lying singularities of the form factor, matches correctly onto the asymptotic behavior expected from perturbative QCD, and is suitable for the evaluation of the (g–2) μ loop integral. The resulting value, a π0-poleμ = 62.6 +3.02.5 × 10 –11, for the first time, represents a complete data-driven determination of the pion-pole contribution with fully controlled uncertainty estimates. In particular, we show that already improved singly virtual measurements alone would allow one to further reduce the uncertainty in a π0-polemore » μ.« less

Authors:
 [1];  [2];  [2];  [3];  [2]
  1. Univ. of Washington, Seattle, WA (United States)
  2. Univ. of Bonn, Bonn (Germany)
  3. Uppsala Univ., Uppsala (Sweden)
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1469750
Alternate Identifier(s):
OSTI ID: 1502087
Grant/Contract Number:  
FG02-00ER41132
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 11; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Hoferichter, Martin, Hoid, Bai-Long, Kubis, Bastian, Leupold, Stefan, and Schneider, Sebastian P. Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon. United States: N. p., 2018. Web. doi:10.1103/physrevlett.121.112002.
Hoferichter, Martin, Hoid, Bai-Long, Kubis, Bastian, Leupold, Stefan, & Schneider, Sebastian P. Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon. United States. doi:10.1103/physrevlett.121.112002.
Hoferichter, Martin, Hoid, Bai-Long, Kubis, Bastian, Leupold, Stefan, and Schneider, Sebastian P. Wed . "Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon". United States. doi:10.1103/physrevlett.121.112002.
@article{osti_1469750,
title = {Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon},
author = {Hoferichter, Martin and Hoid, Bai-Long and Kubis, Bastian and Leupold, Stefan and Schneider, Sebastian P.},
abstractNote = {Here, the π0 pole constitutes the lowest-lying singularity of the hadronic light-by-light (HLBL) tensor, and thus, it provides the leading contribution in a dispersive approach to HLBL scattering in the anomalous magnetic moment of the muon (g–2)μ. It is unambiguously defined in terms of the doubly virtual pion transition form factor, which in principle, can be accessed in its entirety by experiment. We demonstrate that, in the absence of a direct measurement, the full spacelike doubly virtual form factor can be reconstructed very accurately based on existing data for e+e– → 3π, e+e– → e+e–π0, and the π0 → γγ decay width. We derive a representation that incorporates all the low-lying singularities of the form factor, matches correctly onto the asymptotic behavior expected from perturbative QCD, and is suitable for the evaluation of the (g–2)μ loop integral. The resulting value, aπ0-poleμ = 62.6+3.0–2.5 × 10–11, for the first time, represents a complete data-driven determination of the pion-pole contribution with fully controlled uncertainty estimates. In particular, we show that already improved singly virtual measurements alone would allow one to further reduce the uncertainty in aπ0-poleμ.},
doi = {10.1103/physrevlett.121.112002},
journal = {Physical Review Letters},
number = 11,
volume = 121,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevlett.121.112002

Citation Metrics:
Cited by: 14 works
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Figures / Tables:

FIG. 1. FIG. 1. : Diagrammatic representation of (a) HVP, (b) HLBL, and (c) the $π$0 pole in HLBL. Solid, dashed, and wiggly lines denote muons, pions, and photons, respectively, and the shortdashed line indicates that the pion is to be taken on shell.

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