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 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.
{ "_oai": { "updated": "2023-03-18T00:30:18Z", "id": "oai:repo.scoap3.org:76456", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "En-Hung Chao", "affiliations": [ { "country": "Germany", "value": "PRISMA+ Cluster of Excellence & Institut f\u00fcr Kernphysik, Johannes Gutenberg-Universit\u00e4t Mainz, D-55099 Mainz, Germany" }, { "country": "USA", "value": "Physics Department, Columbia University, New York, New York 10027, USA" } ], "surname": "Chao", "given_names": "En-Hung", "full_name": "Chao, En-Hung" }, { "raw_name": "Harvey B. Meyer", "affiliations": [ { "country": "Germany", "value": "PRISMA+ Cluster of Excellence & Institut f\u00fcr Kernphysik, Johannes Gutenberg-Universit\u00e4t Mainz, D-55099 Mainz, Germany" }, { "country": "Germany", "value": "Helmholtz Institut Mainz, Staudingerweg 18, D-55128 Mainz, Germany" }, { "country": "Germany", "value": "GSI Helmholtzzentrum f\u00fcr Schwerionenforschung, D-64291 Darmstadt, Germany" } ], "surname": "Meyer", "given_names": "Harvey B.", "full_name": "Meyer, Harvey B." }, { "raw_name": "Julian Parrino", "affiliations": [ { "country": "Germany", "value": "PRISMA+ Cluster of Excellence & Institut f\u00fcr Kernphysik, Johannes Gutenberg-Universit\u00e4t Mainz, D-55099 Mainz, Germany" } ], "surname": "Parrino", "given_names": "Julian", "full_name": "Parrino, Julian" } ], "titles": [ { "source": "APS", "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>" } ], "dois": [ { "value": "10.1103/PhysRevD.107.054505" } ], "publication_info": [ { "journal_volume": "107", "journal_title": "Physical Review D", "material": "article", "journal_issue": "5", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-03-18T00:30:07.164857", "source": "APS", "method": "APS", "submission_number": "0465f2acc52411eda920065bd8dc6b20" }, "page_nr": [ 23 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "76456", "record_creation_date": "2023-03-17T14:30:07.186517", "_files": [ { "checksum": "md5:7915b412504cf260959aa7cd9cfe694c", "filetype": "pdf", "bucket": "a8e6860b-f60f-483d-bbc3-497226cc0ae7", "version_id": "019b4baa-8644-4594-a0c2-06bc14ccfc70", "key": "10.1103/PhysRevD.107.054505.pdf", "size": 1423921 }, { "checksum": "md5:712a2a4909def52a913955e4029c1315", "filetype": "xml", "bucket": "a8e6860b-f60f-483d-bbc3-497226cc0ae7", "version_id": "d880373e-bf18-441f-8841-ada965c476f5", "key": "10.1103/PhysRevD.107.054505.xml", "size": 499158 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-lat" ], "value": "2211.15581" } ], "abstracts": [ { "source": "APS", "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." } ], "imprints": [ { "date": "2023-03-17", "publisher": "APS" } ] }