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The ratios among the leading-order (LO) hadronic vacuum polarization (HVP) contributions to the anomalous magnetic moments of electron, muon and tau-lepton, $a_{\ell=e,\mu \tau}^{HVP,LO}$, are computed using lattice QCD+QED simulations. The…

High Energy Physics - Lattice · Physics 2020-09-16 D. Giusti , S. Simula

The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is…

High Energy Physics - Phenomenology · Physics 2023-11-28 Eugen Dizer , Zoltán Harman

In the global fit of the Standard Model using Gfitter, electroweak precision observables as well as constraints from direct Higgs searches have been compared with state-of-the-art electroweak predictions. We use the most recent results for…

High Energy Physics - Phenomenology · Physics 2019-08-14 Martin Goebel

I present a new data driven update of the hadronic vacuum polarization effects for the muon and the electron $g-2$. For the leading order contributions I find $a_\mu^{\mathrm{had}(1)}=(686.99\pm 4.21)[687.19\pm 3.48]\times 10^{-10}$ based…

High Energy Physics - Phenomenology · Physics 2016-06-22 Fred Jegerlehner

We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_{\mu}^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_{\mu}^{\rm…

We analyze the electromagnetic current correlator at an arbitrary photon invariant mass $q^2$ by exploiting its associated dispersion relation. The dispersion relation is turned into an inverse problem, via which the involved vacuum…

High Energy Physics - Phenomenology · Physics 2020-11-18 Hsiang-nan Li , Hiroyuki Umeeda

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…

The BNL and FNAL measurements of the anomalous magnetic moment of the muon disagree with the Standard Model (SM) prediction by more than $4\sigma$. The hadronic vacuum polarization (HVP) contributions are the dominant source of uncertainty…

High Energy Physics - Phenomenology · Physics 2023-10-19 Andrew Fowlie , Qiao Li

Using experimental spectral data for hadronic tau decays from the OPAL experiment, supplemented by a phenomenologically successful parameterization for the high-s region not covered by the data, we construct a physically constrained model…

High Energy Physics - Lattice · Physics 2013-12-16 Maarten Golterman , Kim Maltman , Santiago Peris

We have reevaluated the hadronic contribution to the anomalous magnetic moment of the muon (g-2) and to the running of the QED fine structure constant alpha(s) at s=M_Z**2. We incorporated new data from hadronic tau decays, recently…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alemany , M. Davier , A. Hocker

We compute the isospin-violating part $a_\mu^{\text{HVP}, 38}$ of the hadronic-vacuum-polarization (HVP) contribution to the muon $(g-2)$ in lattice QCD at the SU$(3)_{\rm f}$-symmetric point where $M_\pi=M_K\simeq 416$ MeV. All diagrams…

High Energy Physics - Lattice · Physics 2025-09-01 Dominik Erb , Antoine Gérardin , Harvey B. Meyer , Julian Parrino , Volodymyr Biloshytskyi , Vladimir Pascalutsa

The muon anomalous magnetic moment is one of the most precisely measured quantities in particle physics. Recent high precision measurements (0.54ppm) at Brookhaven reveal a ``discrepancy'' by 3 standard deviations from the electroweak…

High Energy Physics - Phenomenology · Physics 2010-04-06 F. Jegerlehner

We present our calculation of the isospin-violating part of the hadronic vacuum polarisation (HVP) contribution to muon $(g-2)$ in lattice QCD at the $SU(3)_{\mathrm{f}}$ symmetric point. The computation of the contributing fully connected…

High Energy Physics - Lattice · Physics 2025-01-08 Dominik Erb , Antoine Gerardin , Harvey B. Meyer , Julian Parrino , Vladimir Pascalutsa , Volodymyr Biloshytskyi

The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an…

Atomic Physics · Physics 2025-09-03 Zoia A. Mandrykina , Moritz Thierfeld , Natalia S. Oreshkina

We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_{\mu}^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_{\mu}^{\rm…

We discuss a new technique to evaluate integrals of QCD Green's functions in the Euclidean based on their Mellin-Barnes representation. We present as a first application the evaluation of the lowest order Hadronic Vacuum Polarization (HVP)…

High Energy Physics - Phenomenology · Physics 2017-08-02 Eduardo de Rafael

The thourough investigation of radiative corrections allows to gain information on physics processes at higher energy scales than those directly accessible by current experiments. As a consequence, using electroweak precision measurements…

High Energy Physics - Phenomenology · Physics 2011-04-22 Dörthe Ludwig

In the recent Muon g-2 Theory Initiative white paper update, the hadronic vacuum polarization (HVP) contribution -- which dominates the theoretical uncertainty -- is evaluated as an average of different lattice QCD calculations. Since…

High Energy Physics - Lattice · Physics 2026-03-02 Mattia Bruno , Vera Gülpers , Nils Hermansson-Truedsson , Christoph Lehner , Julian Parrino , J. Tobias Tsang

We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, $a_\mu$, updating the first White Paper (WP20) [1]. The pure QED and electroweak contributions have been further consolidated, while hadronic…

High Energy Physics - Phenomenology · Physics 2025-09-12 R. Aliberti , T. Aoyama , E. Balzani , A. Bashir , G. Benton , J. Bijnens , V. Biloshytskyi , T. Blum , D. Boito , M. Bruno , E. Budassi , S. Burri , L. Cappiello , C. M. Carloni Calame , M. Cè , V. Cirigliano , D. A. Clarke , G. Colangelo , L. Cotrozzi , M. Cottini , I. Danilkin , M. Davier , M. Della Morte , A. Denig , C. DeTar , V. Druzhinin , G. Eichmann , A. X. El-Khadra , E. Estrada , X. Feng , C. S. Fischer , R. Frezzotti , G. Gagliardi , A. Gérardin , M. Ghilardi , D. Giusti , M. Golterman , S. Gonzàlez-Solís , S. Gottlieb , R. Gruber , A. Guevara , V. Gülpers , A. Gurgone , F. Hagelstein , M. Hayakawa , N. Hermansson-Truedsson , A. Hoecker , M. Hoferichter , B. -L. Hoid , S. Holz , R. J. Hudspith , F. Ignatov , L. Jin , N. Kalntis , G. Kanwar , A. Keshavarzi , J. Komijani , J. Koponen , S. Kuberski , B. Kubis , A. Kupich , A. Kupść , S. Lahert , S. Laporta , C. Lehner , M. Lellmann , L. Lellouch , T. Leplumey , J. Leutgeb , T. Lin , Q. Liu , I. Logashenko , C. Y. London , G. López Castro , J. Lüdtke , A. Lusiani , A. Lutz , J. Mager , B. Malaescu , K. Maltman , M. K. Marinković , J. Márquez , P. Masjuan , H. B. Meyer , T. Mibe , N. Miller , A. Miramontes , A. Miranda , G. Montagna , S. E. Müller , E. T. Neil , A. V. Nesterenko , O. Nicrosini , M. Nio , D. Nomura , J. Paltrinieri , L. Parato , J. Parrino , V. Pascalutsa , M. Passera , S. Peris , P. Petit Rosàs , F. Piccinini , R. N. Pilato , L. Polat , A. Portelli , D. Portillo-Sánchez , M. Procura , L. Punzi , K. Raya , A. Rebhan , C. F. Redmer , B. L. Roberts , A. Rodríguez-Sánchez , P. Roig , J. Ruiz de Elvira , P. Sánchez-Puertas , A. Signer , J. W. Sitison , D. Stamen , D. Stöckinger , H. Stöckinger-Kim , P. Stoffer , Y. Sue , P. Tavella , T. Teubner , J. -N. Toelstede , G. Toledo , W. J. Torres Bobadilla , J. T. Tsang , F. P. Ucci , Y. Ulrich , R. S. Van de Water , G. Venanzoni , S. Volkov , G. von Hippel , G. Wang , U. Wenger , H. Wittig , A. Wright , E. Zaid , M. Zanke , Z. Zhang , M. Zillinger , C. Alexandrou , A. Altherr , M. Anderson , C. Aubin , S. Bacchio , P. Beltrame , A. Beltran , P. Boyle , I. Campos Plasencia , I. Caprini , B. Chakraborty , G. Chanturia , A. Crivellin , A. Czarnecki , L. -Y. Dai , T. Dave , L. Del Debbio , K. Demory , D. Djukanovic , T. Draper , A. Driutti , M. Endo , F. Erben , K. Ferraby , J. Finkenrath , L. Flower , A. Francis , E. Gámiz , J. Gogniat , A. V. Grebe , S. Gündogdu , M. T. Hansen , S. Hashimoto , H. Hayashii , D. W. Hertzog , L. A. Heuser , L. Hostetler , X. T. Hou , G. S. Huang , T. Iijima , K. Inami , A. Jüttner , R. Kitano , M. Knecht , S. Kollatzsch , A. S. Kronfeld , T. Lenz , G. Levati , Q. M. Li , Y. P. Liao , J. Libby , K. F. Liu , V. Lubicz , M. T. Lynch , A. T. Lytle , J. L. Ma , K. Miura , K. Möhling , J. Muskalla , F. Noël , K. Ottnad , P. Paradisi , C. T. Peterson , A. Pich , S. Pitelis , S. Plura , A. Price , D. Radic , A. Radzhabov , A. Risch , S. Romiti , S. Sahoo , F. Sannino , H. Schäfer , Y. Schelhaas , S. I. Serednyakov , O. Shekhovtsova , J. N. Simone , S. Simula , E. P. Solodov , F. M. Stokes , M. Vanderhaeghen , A. Vaquero , N. Vestergaard , W. P. Wang , Z. Wąs , K. Yamashita , Y. B. Yang , T. Yoshioka , C. Z. Yuan , A. S. Zhevlakov

The MUonE proposal at the CERN SPS consists in extracting the value of the hadronic vacuum polarization self-energy function (HVP) from its contribution to the differential cross-section of elastic muon-electron scattering. The HVP…

High Energy Physics - Phenomenology · Physics 2022-06-01 David Greynat , Eduardo de Rafael