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1.
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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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The hadronic contribution to the running of $\alpha$ and the electroweak mixing angle
/ Conigli, Alessandro (Helmholtz Inst., Mainz ; Darmstadt, GSI) ; von Hippel, Georg (U. Mainz, PRISMA) ; Kuberski, Simon (CERN) ; Meyer, Harvey B. (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA) ; Ottnad, Konstantin (U. Mainz, PRISMA) ; Wittig, Hartmut (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA)
We report on our update to [1] on the hadronic running of electroweak couplings from $O(a)$-improved Wilson fermions with $N_f=2+1$ flavours. The inclusion of additional ensembles at very fine lattice spacings together with a number of techniques to split the different contributions for a better control of cutoff effects allows us to substantially improve the precision. [...]
arXiv:2502.10159; MITP-25-007; CERN-TH-2025-022.-
2025-02-12 - 10 p.
- Published in : PoS LATTICE2024 (2025) 287
Fulltext: 2502.10159 - PDF; document - PDF;
In : 41st International Symposium on Lattice Field Theory (Lattice 2024), Liverpool, United Kingdom, 20 Jul - 3 Aug 2024, pp.287
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Machine-learning techniques as noise reduction strategies in lattice calculations of the muon $g-2$
/ Wittig, Hartmut (U. Mainz, PRISMA ; Mainz U., Inst. Phys. ; Darmstadt, GSI) ; Blum, Thomas (Connecticut U.) ; Conigli, Alessandro (Mainz U., Inst. Phys. ; Darmstadt, GSI) ; Geyer, Lukas (U. Mainz, PRISMA) ; Kuberski, Simon (CERN) ; Segner, Alexander (Mainz U., Inst. Phys. ; Darmstadt, GSI ; U. Mainz, PRISMA)
Lattice calculations of the hadronic contributions to the muon anomalous magnetic moment are numerically highly demanding due to the necessity of reaching total errors at the sub-percent level. Noise-reduction techniques such as low-mode averaging have been applied successfully to determine the vector-vector correlator with high statistical precision in the long-distance regime, but display an unfavourable scaling in terms of numerical cost. [...]
arXiv:2502.10237; CERN-TH-2025-038; MITP-25-010.-
2025-02-14 - 9 p.
- Published in : PoS LATTICE2024 (2025) 270
Fulltext: 2502.10237 - PDF; document - PDF;
In : 41st International Symposium on Lattice Field Theory (Lattice 2024), Liverpool, United Kingdom, 20 Jul - 3 Aug 2024, pp.270
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The hadronic vacuum polarization contribution to the muon $g-2$ at long distances
/ Djukanovic, Dalibor (Helmholtz Inst., Mainz ; Darmstadt, GSI) ; von Hippel, Georg (U. Mainz, PRISMA) ; Kuberski, Simon (CERN) ; Meyer, Harvey B. (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA) ; Miller, Nolan (Helmholtz Inst., Mainz ; Darmstadt, GSI) ; Ottnad, Konstantin (U. Mainz, PRISMA) ; Parrino, Julian (U. Mainz, PRISMA) ; Risch, Andreas (Wuppertal U.) ; Wittig, Hartmut (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA)
We present our lattice QCD result for the long-distance part of the hadronic vacuum polarization contribution, $(a_\mu^{\rm hvp})^{\rm LD}$, 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. [...]
arXiv:2411.07969; CERN-TH-2024-196; MITP-24-080.-
2025 - 59 p.
- Published in : JHEP 2504 (2025) 098
Fulltext: 2411.07969 - PDF; document - PDF;
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FLAG Review 2024
/ Flavour Lattice Averaging Group (FLAG) Collaboration
We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. [...]
arXiv:2411.04268 ; CERN-TH-2024-192 ; FERMILAB-PUB-24-0785-T.
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Fermilab Library Server - Fulltext - Fulltext
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Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD
/ Kuberski, Simon (CERN) ; Cè, Marco (INFN, Milan Bicocca ; Milan Bicocca U. (main)) ; von Hippel, Georg (U. Mainz, PRISMA ; Mainz U., Inst. Phys.) ; Meyer, Harvey B. (U. Mainz, PRISMA ; Mainz U., Inst. Phys. ; Darmstadt, GSI) ; Ottnad, Konstantin (U. Mainz, PRISMA ; Mainz U., Inst. Phys.) ; Risch, Andreas (Wuppertal U. ; NIC, Zeuthen ; DESY, Zeuthen) ; Wittig, Hartmut (U. Mainz, PRISMA ; Mainz U., Inst. Phys. ; Darmstadt, GSI)
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. [...]
arXiv:2401.11895; MITP-24-011; CERN-TH-2024-011.-
2024-03-29 - 37 p.
- Published in : JHEP 2403 (2024) 172
Fulltext: 2401.11895 - PDF; document - PDF;
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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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8.
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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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9.
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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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10.
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Prospects for precise predictions of $a_\mu$ in the Standard Model
/ Colangelo, G. (U. Bern (main)) ; Davier, M. (IJCLab, Orsay) ; El-Khadra, A.X. (Illinois U., Urbana ; Fermilab) ; Hoferichter, M. (U. Bern (main)) ; Lehner, C. (Regensburg U.) ; Lellouch, L. (Marseille, CPT) ; Mibe, T. (KEK, Tsukuba) ; Roberts, B.L. (Boston U.) ; Teubner, T. (Liverpool U., Dept. Math.) ; Wittig, H. (U. Mainz, PRISMA ; Darmstadt, GSI) et al.
We discuss the prospects for improving the precision on the hadronic corrections to the anomalous magnetic moment of the muon, and the plans of the Muon $g-2$ Theory Initiative to update the Standard Model prediction..
arXiv:2203.15810 ; FERMILAB-CONF-22-236-T ; LTH 1303 ; MITP-22-030.
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Fermilab Library Server - eConf - Fulltext - Fulltext
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