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The anomalous magnetic moment of the muon in the Standard Model: an update
/ Aliberti, R. (Mainz U., Inst. Phys. ; U. Mainz, PRISMA) ; Aoyama, T. (Tokyo U., ISSP) ; Balzani, E. (INFN, Padua ; Padua U.) ; Bashir, A. (IFM-UMSNH, Michoacan ; Escuela Poli. Sup. U., Huelva) ; Benton, G. (Illinois U., Urbana) ; Bijnens, J. (Lund U.) ; Biloshytskyi, V. (Mainz U., Inst. Phys. ; U. Mainz, PRISMA) ; Blum, T. (Connecticut U. ; RIKEN BNL) ; Boito, D. (Sao Paulo U., Sao Carlos) ; Bruno, M. (Milan Bicocca U. ; INFN, Milan Bicocca) et al.
We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, $a_μ$, updating the first White Paper (WP20) [1]. The pure QED and electroweak contributions have been further consolidated, while hadronic contributions continue to be responsible for the bulk of the uncertainty of the SM prediction. [...]
arXiv:2505.21476; CERN-TH-2025-101; FERMILAB-PUB-25-0344-T; INT-PUB-25-015; IPARCOS-UCM-25-029; KEK Preprint 2025-22; LTH 1403; MITP-25-037; UWThPh 2025-15; UWThPh
2025-15; ZU-TH 37/25; IPARCOS-UCM-25-029.-
2025-09 - 188 p.
- Published in : Phys. Rep. 1143 (2025) 1-158
Fulltext: 2505.21476 - PDF; dc089d0865516c2a08ade9cf28ac37b1 - PDF; document - PDF; External link: Fermilab Library Server
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2.
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Intermediate window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from O$(a)$ improved Wilson quarks
/ Cè, Marco (U. Bern, AEC) ; Gérardin, Antoine (Marseille, CPT) ; von Hippel, Georg (U. Mainz, PRISMA) ; Hudspith, Renwick J. (Darmstadt, Tech. Hochsch. ; Darmstadt, GSI) ; Kuberski, Simon (Helmholtz Inst., Mainz ; Darmstadt, GSI) ; Meyer, Harvey (U. Mainz, PRISMA ; Helmholtz Inst., Mainz) ; Miura, Kohtaroh (Helmholtz Inst., Mainz ; KEK, Tsukuba) ; Mohler, Daniel (Darmstadt, Tech. Hochsch. ; Darmstadt, GSI) ; Ottnad, Konstantin (U. Mainz, PRISMA) ; Paul, Srijit (U. Mainz, PRISMA) et al.
Following the publication of the new measurement of the anomalous magnetic moment of the muon, the discrepancy between experiment and the theory prediction from the $g-2$ theory initiative has increased to $4.2\,\sigma$. Recent lattice QCD calculations predict values for the hadronic vacuum polarization contribution that are larger than the data-driven estimates, bringing the Standard Model prediction closer to the experimental measurement. [...]
arXiv:2211.17083; MITP-22-102; DESY-22-193.-
2023-01-29 - 10 p.
- Published in : PoS LATTICE2022 (2023) 321
Fulltext: 2211.17083 - PDF; document - PDF;
In : 39th International Symposium on Lattice Field Theory (Lattice 2022), Bonn, Germany, 8 - 13 Aug 2022, pp.321
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3.
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HVP contribution to Running Coupling and Electroweak Precision Science
/ Miura, Kohtaroh (Helmholtz Inst., Mainz ; Darmstadt, GSI ; KMI, Nagoya) ; Cè, Marco (CERN) ; Gérardin, Antoine (Aix-Marseille U.) ; von Hippel, Georg (U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Meyer, Harvey B (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Ottnad, Konstantin (Mainz U., Inst. Kernphys. ; U. Mainz, PRISMA) ; Risch, Andreas (NIC, Zeuthen) ; San Jose, Teseo (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Wilhelm, Jonas (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys. ; CERN) ; Wittig, Hartmut (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys. ; CERN)
We investigate the impact of the latest Mainz/CLS collaboration’s result for the hadronic vacuum polarization (HVP) on the electroweak (EW) precision science. The subject is closely related to the muon g-2 via the HVP. [...]
2022 - 9 p.
- Published in : PoS LATTICE2021 (2022) 342
Fulltext: PDF;
In : 38th International Symposium on Lattice Field Theory, Online, 26 - 30 Jul 2021, pp.342
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4.
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Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
/ Cè, Marco (U. Bern, AEC ; CERN) ; Gérardin, Antoine (Marseille, CPT) ; von Hippel, Georg (U. Mainz, PRISMA) ; Hudspith, Renwick J. (Helmholtz Inst., Mainz) ; Kuberski, Simon (Helmholtz Inst., Mainz ; Darmstadt, GSI) ; Meyer, Harvey B. (U. Mainz, PRISMA ; Helmholtz Inst., Mainz) ; Miura, Kohtaroh (Helmholtz Inst., Mainz ; Nagoya U. (main)) ; Mohler, Daniel (Darmstadt, GSI ; Darmstadt, Tech. U.) ; Ottnad, Konstantin (U. Mainz, PRISMA) ; Paul Srijit (U. Mainz, PRISMA) et al.
Euclidean time windows in the integral representation of the hadronic vacuum polarization contribution to the muon $g-2$ serve to test the consistency of lattice calculations and may help in tracing the origins of a potential tension between lattice and data-driven evaluations. In this paper, we present results for the intermediate time window observable computed using O($a$) improved Wilson fermions at six values of the lattice spacings below 0.1 fm and pion masses down to the physical value. [...]
arXiv:2206.06582; MITP-22-038; CERN-TH-2022-098; DESY-22-105.-
2022-12-01 - 43 p.
- Published in : Phys. Rev. D 106 (2022) 114502
Fulltext: Publication - PDF; 2206.06582 - PDF;
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5.
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The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
/ Cè, Marco (U. Bern, AEC ; CERN) ; Gérardin, Antoine (Marseille, CPT) ; von Hippel, Georg (U. Mainz, PRISMA) ; Meyer, Harvey B. (U. Mainz, PRISMA ; Helmholtz Inst., Mainz ; Darmstadt, GSI) ; Miura, Kohtaroh (U. Mainz, PRISMA ; Mainz U., Inst. Phys. ; Darmstadt, GSI ; KMI, Nagoya) ; Ottnad, Konstantin (U. Mainz, PRISMA) ; Risch, Andreas (DESY, Zeuthen) ; San José, Teseo (U. Mainz, PRISMA ; Mainz U., Inst. Phys. ; Darmstadt, GSI) ; Wilhelm, Jonas (U. Mainz, PRISMA) ; Wittig, Hartmut (U. Mainz, PRISMA ; Mainz U., Inst. Phys. ; Darmstadt, GSI ; CERN)
We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with $N_{\mathrm{f}}=2+1$ flavors of $\mathcal{O}(a)$ improved Wilson fermions. Using two different discretizations of the vector current, we compute the quark-connected and -disconnected contributions to the hadronic vacuum polarization (HVP) functions $\bar{\Pi}^{\gamma\gamma}$ and $\bar{\Pi}^{\gamma Z}$ for Euclidean squared momenta $Q^2\leq 7\,\mathrm{GeV}^2$. [...]
arXiv:2203.08676; MITP-22-019; CERN-TH-2022-035; DESY-22-050.-
2022-08-22 - 63 p.
Fulltext: 2203.08676 - PDF; document - PDF;
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The hadronic contribution to the running of the electromagnetic coupling and electroweak mixing angle
/ San José, Teseo (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Cè, Marco (CERN) ; Gérardin, Antoine (Aix-Marseille U. ; Toulon U.) ; von Hippel, Georg (U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Meyer, Harvey B. (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Miura, Kohtaroh (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; KMI, Nagoya) ; Ottnad, Konstantin (U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Risch, Andreas (NIC, Zeuthen) ; Wilhelm, Jonas (CERN ; Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Wittig, Hartmut (CERN ; Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.)
As present and future experiments, on both the energy and precision frontiers, look to identify new physics beyond the Standard Model, we require more precise determinations of fundamental quantities, like the QED and electroweak couplings at various momenta. These can be obtained either entirely from experimental measurements, or from one such measurement at a particular virtuality combined with the couplings' virtuality dependence computed within the SM. [...]
arXiv:2109.04537; CERN-TH-2021-126; DESY-21-137; MITP/21-038.-
2022-05-16 - 9 p.
- Published in : PoS: LATTICE2021 (2022) , pp. 423
Fulltext: 2109.04537 - PDF; Fulltext - PDF; document - PDF;
In : 38th International Symposium on Lattice Field Theory, Online, 26 - 30 Jul 2021, pp.423
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7.
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The hadronic contribution to the running of the electromagnetic coupling and the electroweak mixing angle
/ Cè, Marco (Helmholtz Inst., Mainz ; U. Mainz, PRISMA) ; José, Teseo San (Helmholtz Inst., Mainz ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Gérardin, Antoine (NIC, Zeuthen) ; Meyer, Harvey B. (Helmholtz Inst., Mainz ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Miura, Kohtaroh (Helmholtz Inst., Mainz ; U. Mainz, PRISMA ; KMI, Nagoya) ; Ottnad, Konstantin (U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Risch, Andreas (U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Wilhelm, Jonas (U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.) ; Wittig, Hartmut (Helmholtz Inst., Mainz ; U. Mainz, PRISMA ; Mainz U., Inst. Kernphys.)
The electromagnetic coupling $\alpha$ and the electroweak mixing angle $\theta_{\mathrm{W}}$ are parameters of the Standard Model (SM) that enter precision SM tests and play a fundamental r\^ole in beyond SM physics searches. Their values are energy dependent, and non-perturbative hadronic contributions are the main source of uncertainty to the theoretical knowledge of the running with energy. [...]
arXiv:1910.09525; MITP/19-064; DESY-19-179; DESY 19-179.-
SISSA, 2019-12-24 - 14 p.
- Published in : PoS LATTICE2019 (2019) 010
Fulltext: PDF; Fulltext from publisher: PDF;
In : 37th International Symposium on Lattice Field Theory, Wuhan, Hubei, China, 16 - 22 Jun 2019, pp.010
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8.
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The anomalous magnetic moment of the muon in the Standard Model
/ Aoyama, T. (KEK, Tsukuba ; Nishina Ctr., RIKEN ; KMI, Nagoya) ; Asmussen, N. (Southampton U.) ; Benayoun, M. (Paris U., VI-VII) ; Bijnens, J. (Lund U.) ; Blum, T. (Connecticut U. ; RIKEN BNL) ; Bruno, M. (CERN) ; Caprini, I. (Bucharest, IFIN-HH) ; Carloni Calame, C.M. (INFN, Pavia) ; Cè, M. (CERN ; Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Colangelo, G. (U. Bern, AEC) et al.
We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant $\alpha$ and is broken down into pure QED, electroweak, and hadronic contributions. [...]
arXiv:2006.04822; FERMILAB-PUB-20-207-T; INT-PUB-20-021; KEK Preprint 2020-5,
MITP/20-028; KEK Preprint 2020-5, MITP/20-028; CERN-TH-2020-075; IFT-UAM/CSIC-20-74; LMU-ASC 18/20; LTH 1234,
LU TP 20-20; LTH 1234, LU TP 20-20; MAN/HEP/2020/003; PSI-PR-20-06; UWThPh 2020-14; ZU-TH 18/20.-
Geneva : CERN, 2020-12-03 - 166 p.
- Published in : Phys. Rep. 887 (2020) 1-166
Fulltext: 2006.04822 - PDF; fermilab-pub-20-207-t - PDF; Fulltext from Publisher: PDF; External links: Fermilab News article; Fermilab Library Server (fulltext available)
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9.
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Towards corrections to the strong coupling limit of staggered lattice QCD
/ Fromm, Michael (Frankfurt U.) ; Langelage, Jens (Frankfurt U.) ; Philipsen, Owe (Frankfurt U.) ; de Forcrand, Philippe (Zurich, ETH ; CERN) ; Unger, Wolfgang (Zurich, ETH ; CERN) ; Miura, Kotaroh (Frascati)
We report on the first steps of an ongoing project to add gauge observables and gauge corrections to the well-studied strong coupling limit of staggered lattice QCD, which has been shown earlier to be amenable to numerical simulations by the worm algorithm in the chiral limit and at finite density. Here we show how to evaluate the expectation value of the Polyakov loop in the framework of the strong coupling limit at finite temperature, allowing to study confinement properties along with those of chiral symmetry breaking. [...]
arXiv:1111.4677; CERN-PH-TH-2011-274.-
2011 - 7 p.
- Published in : PoS: LATTICE2011 (2011) , pp. 212
Fulltext: PDF; Preprint: PDF; External link: Preprint
In : 29th International Symposium on Lattice Field Theory, Squaw Valley, Lake Tahoe, CA, USA, 10 - 16 Jul 2011, pp.212
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