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The complete contribution of diagrams with the light-by-light scattering to the Lamb shift is found for muonic hydrogen, deuterium and helium ion. The results are obtained in the static muon approximation and a part of the paper is devoted…

Atomic Physics · Physics 2014-11-04 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov , V. A. Shelyuto

We combine existing perturbative results to show that a precise analytic determination of the charm-quark contribution to the hadronic light-by-light (HLbL) part of the muon anomalous magnetic moment is possible. Working in the…

High Energy Physics - Phenomenology · Physics 2026-02-16 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodríguez-Sánchez

We calculate (g-2) of the muon and the QED coupling alpha(M_Z^2), by improving the determination of the hadronic vacuum polarization contributions and their uncertainties. We include the recently re-analysed CMD-2 data on e^+e^- -> pi^+…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , A. D. Martin , Daisuke Nomura , T. Teubner

We present and test a new method to compute the hadronic vacuum polarization function in lattice simulations. This can then be used, e.g., to determine the leading hadronic contribution to the anomalous magnetic moment of the muon. The…

High Energy Physics - Lattice · Physics 2015-09-30 Gunnar Bali , Gergely Endrodi

This talk summarizes the recent development in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant \alpha(s), at $s=M_{\rm Z}^2$, and to the anomalous magnetic moments of the muon…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hoecker

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

The leading order hadronic contribution to the muon g-2, $a_{\mu}^{HAD}$, is determined entirely from theory using an approach based on Cauchy's theorem in the complex squared energy s-plane. This is possible after fitting the integration…

High Energy Physics - Phenomenology · Physics 2015-05-28 S. Bodenstein , C. A. Dominguez , K. Schilcher

We review the status of the hadronic light-by-light contribution to the muon anomalous magnetic moment and critically compare recent calculations. We also study in detail which momentum regions the pi^0 exchange main contribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Joaquim Prades

I give an overview of the different contributions to the electron and muon anomalous magnetic moments in the Standard Model. Special emphasis is given to recent QED results as well as to the hadronic light-by-light scattering contribution…

High Energy Physics - Phenomenology · Physics 2015-06-11 Eduardo de Rafael

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

We report on our progress toward the computation of the $\pi^0$, $\eta$ and $\eta^{\prime}$ transition form factors using staggered quarks on $N_f=2+1+1$ gauge ensembles generated by the Budapest-Marseille-Wuppertal collaboration. These…

High Energy Physics - Lattice · Physics 2022-11-09 Antoine Gérardin , Jana N. Guenther , Lukas Varnhorst , Willem E. A. Verplanke

We derive an analytic result for the pion pole contribution to the light-by-light scattering correction to the anomalous magnetic moment of the muon, $a_\mu = (g_\mu-2)/2$. Using the vector meson dominance model (VMD) for the pion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ian Blokland , Andrzej Czarnecki , Kirill Melnikov

We give a short description of the present situation of lattice QCD simulations. We then focus on the computation of the anomalous magnetic moment of the muon using lattice techniques. We demonstrate that by employing improved observables…

High Energy Physics - Lattice · Physics 2015-06-03 X. Feng , K. Jansen , M. Petschlies , D. Renner

We reevaluate the hadronic contributions to the muon magnetic anomaly, and to the running of the electromagnetic coupling constant at the Z-boson mass. We include new pi+pi- cross-section data from KLOE, all available multi-hadron data from…

High Energy Physics - Phenomenology · Physics 2011-10-27 Michel Davier , Andreas Hoecker , Bogdan Malaescu , Zhiqing Zhang

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 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…

We present our preliminary results on the calculation of hadronic light-by-light forward scattering amplitudes using vector four-point correlation functions computed on the lattice. Using a dispersive approach, forward scattering amplitudes…

High Energy Physics - Lattice · Physics 2018-04-18 Antoine Gerardin , Jeremy Green , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Vladimir Pascalutsa , Hartmut Wittig

The $\alpha^4$ contribution to the lepton $g-2$ from a gauge-invariant set of 18 Feynman diagrams containing a light-by-light scattering subdiagram internally has been reevaluated by a method independent of the previous approach. Comparison…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kinoshita , M. Nio

We compute the leading order hadronic vacuum polarization (LO-HVP) contribution to the anomalous magnetic moment of the muon, $(g_\mu-2)$, using lattice QCD. Calculations are performed with four flavors of 4-stout-improved staggered quarks,…

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