Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to (g2)μ

En-Hung Chao (PRISMA+ Cluster of Excellence & Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany; Physics Department, Columbia University, New York, New York 10027, USA) ; Harvey B. Meyer (PRISMA+ Cluster of Excellence & Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany; Helmholtz Institut Mainz, Staudingerweg 18, D-55128 Mainz, Germany; GSI Helmholtzzentrum für Schwerionenforschung, D-64291 Darmstadt, Germany) ; Julian Parrino (PRISMA+ Cluster of Excellence & Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany)

The “intermediate window quantity” of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon allows for a high-precision comparison between the data-driven approach and lattice QCD. The existing lattice results, which presently show good consistency among each other, are in strong tension with the data-driven determination. In order to check for a potentially common source of systematic error of the lattice calculations, which are all based on the time-momentum representation (TMR), we perform a calculation using a Lorentz-covariant coordinate-space (CCS) representation. We present results for the isovector and the connected strange-quark contributions to the intermediate window quantity at a reference point in the (mπ,mK) plane, in the continuum and infinite-volume limit, based on four different lattice spacings. Our results are in good agreement with those of the recent TMR-based Mainz-CLS publication.

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      "title": "Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to <math><mo>(</mo><mi>g</mi><mo>\u2212</mo><mn>2</mn><msub><mo>)</mo><mi>\u03bc</mi></msub></math>"
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      "value": "The \u201cintermediate window quantity\u201d of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon allows for a high-precision comparison between the data-driven approach and lattice QCD. The existing lattice results, which presently show good consistency among each other, are in strong tension with the data-driven determination. In order to check for a potentially common source of systematic error of the lattice calculations, which are all based on the time-momentum representation (TMR), we perform a calculation using a Lorentz-covariant coordinate-space (CCS) representation. We present results for the isovector and the connected strange-quark contributions to the intermediate window quantity at a reference point in the <math><mo>(</mo><msub><mi>m</mi><mi>\u03c0</mi></msub><mo>,</mo><msub><mi>m</mi><mi>K</mi></msub><mo>)</mo></math> plane, in the continuum and infinite-volume limit, based on four different lattice spacings. Our results are in good agreement with those of the recent TMR-based Mainz-CLS publication."
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Published on:
17 March 2023
Publisher:
APS
Published in:
Physical Review D , Volume 107 (2023)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.107.054505
arXiv:
2211.15581
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: