The hadronic vacuum polarization contribution to the muon g − 2 at long distances
Abstract We present our lattice QCD result for the long-distance part of the hadronic vacuum polarization contribution, ( a μ hvp $$ {a}_{\mu}^{\textrm{hvp}} $$ )LD, to the muon g − 2 in the time-momentum representation. This is the numerically dominant, and at the same time the most challenging par...
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)098 |
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| author | Dalibor Djukanovic Georg von Hippel Simon Kuberski Harvey B. Meyer Nolan Miller Konstantin Ottnad Julian Parrino Andreas Risch Hartmut Wittig |
| author_facet | Dalibor Djukanovic Georg von Hippel Simon Kuberski Harvey B. Meyer Nolan Miller Konstantin Ottnad Julian Parrino Andreas Risch Hartmut Wittig |
| author_sort | Dalibor Djukanovic |
| collection | DOAJ |
| description | Abstract We present our lattice QCD result for the long-distance part of the hadronic vacuum polarization contribution, ( a μ hvp $$ {a}_{\mu}^{\textrm{hvp}} $$ )LD, to the muon g − 2 in the time-momentum representation. This is the numerically dominant, and at the same time the most challenging part regarding statistical precision. Our calculation is based on ensembles with dynamical up, down and strange quarks, employing the O(a)-improved Wilson fermion action with lattice spacings ranging from 0.035–0.099 fm. In order to reduce statistical noise in the long-distance part of the correlator to the per-mille level, we apply low-mode averaging and combine it with an explicit spectral reconstruction. Our result is ( a μ hvp $$ {a}_{\mu}^{\textrm{hvp}} $$ )LD = 423.2(4.2)stat(3.4)syst × 10−10 in isospin-symmetric QCD, where the pion decay constant is used to set the energy scale. When combined with our previous results for the short- and intermediate-distance window observables and after including all sub-dominant contributions as well as isospin-breaking corrections, we obtain the total leading-order hadronic vacuum polarization contribution as a μ hvp $$ {a}_{\mu}^{\textrm{hvp}} $$ = 724.5(4.9)stat(5.2)syst × 10−10. Our result displays a tension of 3.9 standard deviations with the data-driven estimate published in the 2020 White Paper, but leads to a SM prediction for the total muon anomalous magnetic moment that agrees with the current experimental average. |
| format | Article |
| id | doaj-art-be842fe9447844108e2131dabb4f9243 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-be842fe9447844108e2131dabb4f92432025-08-20T03:09:35ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025415710.1007/JHEP04(2025)098The hadronic vacuum polarization contribution to the muon g − 2 at long distancesDalibor Djukanovic0Georg von Hippel1Simon Kuberski2Harvey B. Meyer3Nolan Miller4Konstantin Ottnad5Julian Parrino6Andreas Risch7Hartmut Wittig8Helmholtz Institute Mainz, Johannes Gutenberg-Universität MainzPRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität MainzTheoretical Physics Department, CERNHelmholtz Institute Mainz, Johannes Gutenberg-Universität MainzHelmholtz Institute Mainz, Johannes Gutenberg-Universität MainzPRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität MainzPRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität MainzDepartment of Physics, University of WuppertalHelmholtz Institute Mainz, Johannes Gutenberg-Universität MainzAbstract We present our lattice QCD result for the long-distance part of the hadronic vacuum polarization contribution, ( a μ hvp $$ {a}_{\mu}^{\textrm{hvp}} $$ )LD, to the muon g − 2 in the time-momentum representation. This is the numerically dominant, and at the same time the most challenging part regarding statistical precision. Our calculation is based on ensembles with dynamical up, down and strange quarks, employing the O(a)-improved Wilson fermion action with lattice spacings ranging from 0.035–0.099 fm. In order to reduce statistical noise in the long-distance part of the correlator to the per-mille level, we apply low-mode averaging and combine it with an explicit spectral reconstruction. Our result is ( a μ hvp $$ {a}_{\mu}^{\textrm{hvp}} $$ )LD = 423.2(4.2)stat(3.4)syst × 10−10 in isospin-symmetric QCD, where the pion decay constant is used to set the energy scale. When combined with our previous results for the short- and intermediate-distance window observables and after including all sub-dominant contributions as well as isospin-breaking corrections, we obtain the total leading-order hadronic vacuum polarization contribution as a μ hvp $$ {a}_{\mu}^{\textrm{hvp}} $$ = 724.5(4.9)stat(5.2)syst × 10−10. Our result displays a tension of 3.9 standard deviations with the data-driven estimate published in the 2020 White Paper, but leads to a SM prediction for the total muon anomalous magnetic moment that agrees with the current experimental average.https://doi.org/10.1007/JHEP04(2025)098Hadronic SpectroscopyStructure and InteractionsLattice QCD |
| spellingShingle | Dalibor Djukanovic Georg von Hippel Simon Kuberski Harvey B. Meyer Nolan Miller Konstantin Ottnad Julian Parrino Andreas Risch Hartmut Wittig The hadronic vacuum polarization contribution to the muon g − 2 at long distances Journal of High Energy Physics Hadronic Spectroscopy Structure and Interactions Lattice QCD |
| title | The hadronic vacuum polarization contribution to the muon g − 2 at long distances |
| title_full | The hadronic vacuum polarization contribution to the muon g − 2 at long distances |
| title_fullStr | The hadronic vacuum polarization contribution to the muon g − 2 at long distances |
| title_full_unstemmed | The hadronic vacuum polarization contribution to the muon g − 2 at long distances |
| title_short | The hadronic vacuum polarization contribution to the muon g − 2 at long distances |
| title_sort | hadronic vacuum polarization contribution to the muon g 2 at long distances |
| topic | Hadronic Spectroscopy Structure and Interactions Lattice QCD |
| url | https://doi.org/10.1007/JHEP04(2025)098 |
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