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Hadronic contributions dominate the uncertainty of the standard model prediction for the anomalous magnetic moment of the muon. In this work, we describe an ongoing lattice calculation of the hadronic light-by-light contribution, performed…

High Energy Physics - Lattice · Physics 2023-11-20 Christian Zimmermann , Antoine Gérardin

We consider an impact of hadronic light-by-light scattering on the muonium hyperfine structure. A shift of the hyperfine interval $\Delta \nu({\rm Mu}) _{\rm\tiny HLBL}$ is calculated with the light-by-light scattering approximated by…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. G. Karshenboim , V. A. Shelyuto , A. I. Vainshtein

We report about recent results obtained for the muon anomalous magnetic moment. Three-loop kernel functions have been computed to obtain the next-to-next-to-leading-order hadronic vacuum polarization contributions. The numerical result,…

High Energy Physics - Phenomenology · Physics 2014-07-02 Alexander Kurz , Tao Liu , Peter Marquard , Matthias Steinhauser

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,…

High Energy Physics - Phenomenology · Physics 2020-11-16 T. Aoyama , N. Asmussen , M. Benayoun , J. Bijnens , T. Blum , M. Bruno , I. Caprini , C. M. Carloni Calame , M. Cè , G. Colangelo , F. Curciarello , H. Czyż , I. Danilkin , M. Davier , C. T. H. Davies , M. Della Morte , S. I. Eidelman , A. X. El-Khadra , A. Gérardin , D. Giusti , M. Golterman , Steven Gottlieb , V. Gülpers , F. Hagelstein , M. Hayakawa , G. Herdoíza , D. W. Hertzog , A. Hoecker , M. Hoferichter , B. -L. Hoid , R. J. Hudspith , F. Ignatov , T. Izubuchi , F. Jegerlehner , L. Jin , A. Keshavarzi , T. Kinoshita , B. Kubis , A. Kupich , A. Kupść , L. Laub , C. Lehner , L. Lellouch , I. Logashenko , B. Malaescu , K. Maltman , M. K. Marinković , P. Masjuan , A. S. Meyer , H. B. Meyer , T. Mibe , K. Miura , S. E. Müller , M. Nio , D. Nomura , A. Nyffeler , V. Pascalutsa , M. Passera , E. Perez del Rio , S. Peris , A. Portelli , M. Procura , C. F. Redmer , B. L. Roberts , P. Sánchez-Puertas , S. Serednyakov , B. Shwartz , S. Simula , D. Stöckinger , H. Stöckinger-Kim , P. Stoffer , T. Teubner , R. Van de Water , M. Vanderhaeghen , G. Venanzoni , G. von Hippel , H. Wittig , Z. Zhang , M. N. Achasov , A. Bashir , N. Cardoso , B. Chakraborty , E. -H. Chao , J. Charles , A. Crivellin , O. Deineka , A. Denig , C. DeTar , C. A. Dominguez , A. E. Dorokhov , V. P. Druzhinin , G. Eichmann , M. Fael , C. S. Fischer , E. Gámiz , Z. Gelzer , J. R. Green , S. Guellati-Khelifa , D. Hatton , N. Hermansson-Truedsson , S. Holz , B. Hörz , M. Knecht , J. Koponen , A. S. Kronfeld , J. Laiho , S. Leupold , P. B. Mackenzie , W. J. Marciano , C. McNeile , D. Mohler , J. Monnard , E. T. Neil , A. V. Nesterenko , K. Ottnad , V. Pauk , A. E. Radzhabov , E. de Rafael , K. Raya , A. Risch , A. Rodríguez-Sánchez , P. Roig , T. San José , E. P. Solodov , R. Sugar , K. Yu. Todyshev , A. Vainshtein , A. Vaquero Avilés-Casco , E. Weil , J. Wilhelm , R. Williams , A. S. Zhevlakov

We calculate the hadronic light-by-light contributions to the muon $g-2$. We use both $1/N_c$ and chiral counting to organize the calculation. Then we calculate the leading and next-to-leading order in the $1/N_c$ expansion low energy…

High Energy Physics - Phenomenology · Physics 2009-10-28 Johan Bijnens , Elisabetta Pallante , Joaquim Prades

We review the recent progress made with regard to the hadronic light-by-light (HLbL) contribution to the Standard Model prediction of the muon anomalous magnetic moment and how well this compares with predictions from holographic QCD…

High Energy Physics - Phenomenology · Physics 2026-04-17 Anton Rebhan , Luigi Cappiello , Josef Leutgeb , Jonas Mager

We perform a lattice QCD calculation of the hadronic light-by-light scattering amplitude in a broad kinematical range. At forward kinematics, the results are compared to a phenomenological analysis based on dispersive sum rules for…

High Energy Physics - Lattice · Physics 2015-12-02 Jeremy Green , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Vladimir Pascalutsa

We present a lattice calculation of the leading hadronic contribution to the anomalous magnetic moment of the muon. This work is based on a subset of the CLS ensembles with $N_f = 2+1$ dynamical quarks and a quenched charm quark. Noise…

We report our (HPQCD) progress on the calculation of the Hadronic Vacuum Polarisation contribution to the anomalous magnetic moment of muon. In this article we discuss the calculations for the light (up/down) quark connected contribution…

High Energy Physics - Lattice · Physics 2015-11-19 Bipasha Chakraborty , Christine Davies , Pedro Gonçalves de Oliveira , Jonna Koponen , G. Peter Lepage

We review the recent progress made in using holographic QCD to study hadronic contributions to the anomalous magnetic moment of the muon, in particular the hadronic light-by-light scattering contribution, where the short-distance…

High Energy Physics - Phenomenology · Physics 2022-01-10 Josef Leutgeb , Jonas Mager , Anton Rebhan

The dominant theoretical uncertainties in both, the anomalous magnetic moment of the muon and the value of the electromagnetic coupling at the Z scale arise from their hadronic contributions. Since these will ultimately dominate the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jens Erler , Mingxing Luo

The hadronic light-by-light scattering contribution to the muon g-2 is the most troublesome component of its theoretical prediction; (1) it cannot be determined from the other measurable quantities, (2) the dimensional argument and the…

High Energy Physics - Lattice · Physics 2007-05-23 Masashi Hayakawa , Thomas Blum , Taku Izubuchi , Norikazu Yamada

Hadronic contributions dominate the uncertainty of the Standard Model prediction for the anomalous magnetic moment of the muon. In this work, we present results on the hadronic light-by-light contribution obtained from the evaluation of the…

High Energy Physics - Lattice · Physics 2024-11-26 Christian Zimmermann , Antoine Gérardin

We reassess the impact of short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude on the anomalous magnetic moment of the muon, $a_\mu=(g-2)_\mu/2$, by comparing different solutions that have…

High Energy Physics - Phenomenology · Physics 2021-08-10 Gilberto Colangelo , Franziska Hagelstein , Martin Hoferichter , Laetitia Laub , Peter Stoffer

The measurement of the anomalous magnetic moment of the muon and its prediction allow for a high-precision test of the Standard Model (SM). In this proceedings article we present ongoing work combining lattice QCD and continuum QED in order…

High Energy Physics - Lattice · Physics 2019-11-14 Nils Asmussen , En-Hung Chao , Antoine Gérardin , Jeremy R. Green , Renwick J. Hudspith , Harvey B. Meyer , Andreas Nyffeler

We present updated results for the hadronic light-by-light (HLbL) contribution to the muon anomalous magnetic moment. The calculations are based on ETMC's $N_f=2+1+1$ Wilson-clover twisted-mass ensembles at the physical point. We perform…

High Energy Physics - Lattice · Physics 2025-12-25 N. Kalntis , G. Kanwar , M. Petschlies , S. Romiti , U. Wenger

Recently, it was shown that insertions of hadronic vacuum polarization at O(alpha^4) generate non-negligible effects in the calculation of the anomalous magnetic moment of the muon. This result raises the question if other hadronic diagrams…

High Energy Physics - Phenomenology · Physics 2014-06-19 Gilberto Colangelo , Martin Hoferichter , Andreas Nyffeler , Massimo Passera , Peter Stoffer

In recent years, the anomalous magnetic moment of the muon has triggered a lot of activity in the lattice QCD community because a persistent tension of about $3.5~\sigma$ is observed between the phenomenological estimate and the Brookhaven…

High Energy Physics - Lattice · Physics 2021-04-21 Antoine Gérardin

We employ the comparatively minimal extension of hard-wall AdS/QCD due to Katz and Schwartz which takes into account the U(1)$_A$ anomaly for computing hadronic light-by-light scattering contributions of pseudoscalar and axial vector mesons…

High Energy Physics - Phenomenology · Physics 2023-03-29 Josef Leutgeb , Jonas Mager , Anton Rebhan

We present results for the charged kaon-box contributions to the hadronic light-by-light (HLBL) correction of the muon's anomalous magnetic moment. To this end we determine the kaon electromagnetic form factor within the functional approach…

High Energy Physics - Phenomenology · Physics 2020-03-18 Gernot Eichmann , Christian S. Fischer , Richard Williams
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