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We discuss a method for calculating the heavy quark vacuum polarisation contribution to the muon anomalous magnetic moment, $a_\mu$, using perturbative QCD. This approach is independent of $e^+e^-$ cross-section data allowing a fully…

高能物理 - 唯象学 · 物理学 2021-11-29 P. D. Kennedy , J. Erler , H. Spiesberger

The quark-line disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously difficult one to…

高能物理 - 格点 · 物理学 2016-05-04 Bipasha Chakraborty , C. T. H. Davies , J. Koponen , G. P. Lepage , M. J. Peardon , S. M. Ryan

We report a lattice QCD calculation of the hadronic light-by-light contribution to the muon anomalous magnetic moment at physical pion mass. The calculation includes the connected diagrams and the leading, quark-line-disconnected diagrams.…

高能物理 - 格点 · 物理学 2017-01-18 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner

We present a new independent evaluation of the hadronic and QCD contributions to the QED running coupling \alpha(M_Z) and to the muonium hyperfine splitting \nu. We obtain: \Delta\alpha_{had}=2770(17)10^{-5} and \Delta\nu_{had}=232.5(2.5)…

高能物理 - 唯象学 · 物理学 2007-05-23 Stephan Narison

We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from {the} connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical $u$,…

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,…

高能物理 - 唯象学 · 物理学 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 the perturbative results of the discretization errors proportional to the quark mass ($\mathcal{O}(a m)$) on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the 2-loop…

高能物理 - 格点 · 物理学 2025-12-01 Marios Costa , Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

We describe a new technique (published in Phys. Rev. D89 114501) to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'e approximants…

We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

高能物理 - 格点 · 物理学 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

We present a first-principles lattice QCD+QED calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm…

高能物理 - 格点 · 物理学 2018-07-18 T. Blum , P. A. Boyle , V. Gülpers , T. Izubuchi , L. Jin , C. Jung , A. Jüttner , C. Lehner , A. Portelli , J. T. Tsang

We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine E_tot(r) = 2 m_pole + V_QCD(r) by re-expressing it in the MSbar mass m =…

高能物理 - 唯象学 · 物理学 2009-11-07 S. Recksiegel , Y. Sumino

We present a lattice QCD calculation of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon using $N_f=2+1+1$ flavors of staggered quarks with masses tuned to their physical values. Our final…

高能物理 - 格点 · 物理学 2024-11-19 Zoltan Fodor , Antoine Gerardin , Laurent Lellouch , Kalman K. Szabo , Balint C. Toth , Christian Zimmermann

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…

高能物理 - 唯象学 · 物理学 2009-11-07 Jens Erler , Mingxing Luo

We report progress on calculating the contribution to the anomalous magnetic moment of the muon from the disconnected hadronic diagrams with light and strange quarks and the valence QED contribution to the connected diagrams. The lattice…

A reliable evaluation of the integral giving the hadronic vacuum polarization contribution to the muon anomalous magnetic moment should be possible using a simple trapezoid-rule integration of lattice data for the subtracted electromagnetic…

高能物理 - 格点 · 物理学 2014-10-29 Maarten Golterman , Kim Maltman , Santiago Peris

An accurate calculation of the leading-order hadronic vacuum polarisation (LOHVP) contribution to the anomalous magnetic moment of the muon ($a_\mu$) is key to determining whether a discrepancy, suggesting new physics, exists between the…

高能物理 - 格点 · 物理学 2025-02-04 C. T. H. Davies , A. S. Kronfeld , G. P. Lepage , C. McNeile , R. S. Van de Water

The hadronic contribution to the muon anomalous magnetic moment $a_\mu=(g_\mu-2)/2$ has to be determined at the per-mille level for the Standard Model prediction to match the expected final uncertainty of the ongoing E989 experiment. That…

高能物理 - 格点 · 物理学 2021-01-13 Leonardo Giusti , Mattia Dalla Brida , Tim Harris , Michele Pepe

We compute the vacuum polarisation on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q^2 of about 2 GeV^2 the results are very close to the predictions of perturbative QCD. Below this scale we see signs…

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

While lattice QCD allows for reliable results at small momentum transfers (large quark separations), perturbative QCD is restricted to large momentum transfers (small quark separations). The latter is determined up to a reference momentum…

高能物理 - 唯象学 · 物理学 2018-12-18 Felix Karbstein , Marc Wagner , Michelle Weber

The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The…

高能物理 - 格点 · 物理学 2015-01-14 Thomas Blum , Saumitra Chowdhury , Masashi Hayakawa , Taku Izubuchi