We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon g – 2, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the reduction of discretization effects by a suitable subtraction applied to the TMR kernel function, which cancels the leading $${x}_{0}^{4}$$ -behaviour at short distances. To compensate for the subtraction, one must substitute a term that can be reliably computed in perturbative QCD. We apply this strategy to our data for the vector current collected on ensembles generated with 2 + 1 flavours of O(a)-improved Wilson quarks at six values of the lattice spacing and pion masses in the range 130 – 420 MeV. Our estimate at the physical point contains a full error budget and reads $${\left({a}_{\mu }^{{\text{hvp}}}\right)}^{{\text{SD}}}$$ = 68.85(14)stat (42)syst·10 −10, which corresponds to a relative precision of 0.7%. We discuss the implications of our result for the observed tensions between lattice and data-driven evaluations of the hadronic vacuum polarization.
{ "_oai": { "updated": "2024-06-24T00:31:32Z", "id": "oai:repo.scoap3.org:84421", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "CERN", "value": "Department of Theoretical Physics, CERN, Geneva 23, 1211, Switzerland", "organization": "Department of Theoretical Physics, CERN" } ], "surname": "Kuberski", "email": "simon.kuberski@cern.ch", "full_name": "Kuberski, Simon", "given_names": "Simon" }, { "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica, Universit\u00e0 di Milano-Bicocca and INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, Milano, 20126, Italy", "organization": "Universit\u00e0 di Milano-Bicocca and INFN, Sezione di Milano-Bicocca" } ], "surname": "C\u00e8", "email": "marco.ce@unimib.it", "full_name": "C\u00e8, Marco", "given_names": "Marco" }, { "affiliations": [ { "country": "Germany", "value": "PRISMA+ Cluster of Excellence and Institut f\u00fcr Kernphysik, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, 55099, Germany", "organization": "Johannes Gutenberg-Universit\u00e4t Mainz" } ], "surname": "Hippel", "email": "hippel@uni-mainz.de", "full_name": "Hippel, Georg", "given_names": "Georg" }, { "affiliations": [ { "country": "Germany", "value": "PRISMA+ Cluster of Excellence and Institut f\u00fcr Kernphysik, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, 55099, Germany", "organization": "Johannes Gutenberg-Universit\u00e4t Mainz" }, { "country": "Germany", "value": "Helmholtz-Institut Mainz, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, 55099, Germany", "organization": "Helmholtz-Institut Mainz, Johannes Gutenberg-Universit\u00e4t Mainz" }, { "country": "Germany", "value": "GSI Helmholtz Centre for Heavy Ion Research, Darmstadt, 64291, Germany", "organization": "GSI Helmholtz Centre for Heavy Ion Research" } ], "surname": "Meyer", "email": "meyerh@uni-mainz.de", "full_name": "Meyer, Harvey", "given_names": "Harvey" }, { "affiliations": [ { "country": "Germany", "value": "PRISMA+ Cluster of Excellence and Institut f\u00fcr Kernphysik, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, 55099, Germany", "organization": "Johannes Gutenberg-Universit\u00e4t Mainz" } ], "surname": "Ottnad", "email": "kottnad@uni-mainz.de", "full_name": "Ottnad, Konstantin", "given_names": "Konstantin" }, { "affiliations": [ { "country": "Germany", "value": "Department of Physics, University of Wuppertal, Gaussstr. 20, Wuppertal, 42119, Germany", "organization": "University of Wuppertal" }, { "country": "Germany", "value": "John von Neumann-Institut f\u00fcr Computing NIC, Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, Zeuthen, 15738, Germany", "organization": "John von Neumann-Institut f\u00fcr Computing NIC, Deutsches Elektronen-Synchrotron DESY" } ], "surname": "Risch", "email": "andreas.risch@desy.de", "full_name": "Risch, Andreas", "given_names": "Andreas" }, { "affiliations": [ { "country": "Germany", "value": "PRISMA+ Cluster of Excellence and Institut f\u00fcr Kernphysik, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, 55099, Germany", "organization": "Johannes Gutenberg-Universit\u00e4t Mainz" }, { "country": "Germany", "value": "Helmholtz-Institut Mainz, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, 55099, Germany", "organization": "Helmholtz-Institut Mainz, Johannes Gutenberg-Universit\u00e4t Mainz" }, { "country": "Germany", "value": "GSI Helmholtz Centre for Heavy Ion Research, Darmstadt, 64291, Germany", "organization": "GSI Helmholtz Centre for Heavy Ion Research" } ], "surname": "Wittig", "email": "wittigh@uni-mainz.de", "full_name": "Wittig, Hartmut", "given_names": "Hartmut" } ], "titles": [ { "source": "Springer", "title": "Hadronic vacuum polarization in the muon g \u2212 2: the short-distance contribution from lattice QCD" } ], "dois": [ { "value": "10.1007/JHEP03(2024)172" } ], "publication_info": [ { "page_end": "36", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2024", "artid": 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"10.1007/JHEP03(2024)172_a.pdf", "size": 1615996 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-lat", "hep-ph" ], "value": "2401.11895" } ], "abstracts": [ { "source": "Springer", "value": "We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon g \u2013 2, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the reduction of discretization effects by a suitable subtraction applied to the TMR kernel function, which cancels the leading $${x}_{0}^{4}$$ -behaviour at short distances. To compensate for the subtraction, one must substitute a term that can be reliably computed in perturbative QCD. We apply this strategy to our data for the vector current collected on ensembles generated with 2 + 1 flavours of O(a)-improved Wilson quarks at six values of the lattice spacing and pion masses in the range 130 \u2013 420 MeV. Our estimate at the physical point contains a full error budget and reads $${\\left({a}_{\\mu }^{{\\text{hvp}}}\\right)}^{{\\text{SD}}}$$ = 68.85(14)stat (42)syst\u00b710 \u221210, which corresponds to a relative precision of 0.7%. We discuss the implications of our result for the observed tensions between lattice and data-driven evaluations of the hadronic vacuum polarization." } ], "imprints": [ { "date": "2024-03-29", "publisher": "Springer" } ] }