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1.
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. [...]
MITP-25-007 ; CERN-TH-2025-022 ; arXiv:2502.10159.
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2.
Machine-learning techniques as noise reduction strategies in lattice calculations of the muon $g-2$ / 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) ; Wittig, Hartmut (U. Mainz, PRISMA ; Mainz U., Inst. Phys. ; Darmstadt, GSI)
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. [...]
CERN-TH-2025-038 ; MITP-25-010 ; arXiv:2502.10237.
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3.
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. [...]
CERN-TH-2024-196 ; MITP-24-080 ; arXiv:2411.07969.
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4.
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;
5.
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;
6.
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;
7.
Hadronic light-by-light contribution to $(g-2)_\mu $ from lattice QCD: a complete calculation / Chao, En-Hung (Mainz U., Inst. Kernphys. ; U. Mainz, PRISMA) ; Hudspith, Renwick J. (Mainz U., Inst. Kernphys. ; U. Mainz, PRISMA) ; Gérardin, Antoine (Marseille, CPT) ; Green, Jeremy R. (CERN) ; Meyer, Harvey B. (Mainz U., Inst. Kernphys. ; U. Mainz, PRISMA ; Helmholtz Inst., Mainz ; Darmstadt, GSI) ; Ottnad, Konstantin (Mainz U., Inst. Kernphys. ; U. Mainz, PRISMA)
We compute the hadronic light-by-light scattering contribution to the muon $g-2$ from the up, down, and strange-quark sector directly using lattice QCD. Our calculation features evaluations of all possible Wick-contractions of the relevant hadronic four-point function and incorporates several different pion masses, volumes, and lattice-spacings. [...]
arXiv:2104.02632.- 2021-07-23 - 42 p. - Published in : Eur. Phys. J. C 81 (2021) 651 Fulltext: 2104.02632 - PDF; document - PDF;
8.
Charge radius of the short-lived $^{68}$Ni and correlation with the dipole polarizability / Kaufmann, S. (Darmstadt, Tech. U.) ; Simonis, J. (U. Mainz, PRISMA) ; Bacca, S. (U. Mainz, PRISMA ; Mainz U., Inst. Kernphys. ; Helmholtz Inst., Mainz) ; Billowes, J. (Manchester U.) ; Bissell, M.L. (Manchester U.) ; Blaum, K. (Heidelberg, Max Planck Inst.) ; Cheal, B. (Liverpool U.) ; Garcia Ruiz, R.F. (Manchester U. ; CERN) ; Gins, W. (Leuven U.) ; Gorges, C. (Darmstadt, Tech. U.) et al.
We present the first laser spectroscopic measurement of the neutron-rich nucleus $^{68}$Ni at the \mbox{$N=40$} subshell closure and extract its nuclear charge radius. Since this is the only short-lived isotope for which the dipole polarizability $\alpha_{\rm D}$ has been measured, the combination of these observables provides a benchmark for nuclear structure theory. [...]
arXiv:2003.06353.- 2020-04-01 - 6 p. - Published in : Phys. Rev. Lett. 124 (2020) 132502 Fulltext: PDF; Fulltext from Publisher: PDF;
9.
Vacuum correlators at short distances from lattice QCD / Cè, Marco (CERN) ; Harris, Tim (Edinburgh U.) ; Meyer, Harvey B. (Helmholtz Inst., Mainz ; Darmstadt, GSI ; U. Mainz, PRISMA) ; Toniato, Arianna (U. Mainz, PRISMA) ; Török, Csaba (U. Mainz, PRISMA)
Non-perturbatively computing the hadronic vacuum polarization at large photon virtualities and making contact with perturbation theory enables a precision determination of the electromagnetic coupling at the $Z$ pole, which enters global electroweak fits. In order to achieve this goal ab initio using lattice QCD, one faces the challenge that, at the short distances which dominate the observable, discretization errors are hard to control. [...]
arXiv:2106.15293; MITP/21-032; CERN-TH-2021-100.- 2021-12-29 - 32 p. - Published in : JHEP 2112 (2021) 215 Fulltext: document - PDF; 2106.15293 - PDF;
10.
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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