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The persistent discrepancy of about 3.5 standard deviations between the experimental measurement and the Standard Model prediction for the muon anomalous magnetic moment, $a_\mu$, is one of the most promising hints for the possible…

High Energy Physics - Lattice · Physics 2020-05-20 H. Wittig , A. Gérardin , Marco Cè , G. von Hippel , B. Hörz , H. B. Meyer , K. Miura , D. Mohler , K. Ottnad , A. Risch , T. San José , J. Wilhelm

We present new results for the light-quark connected part of the leading order hadronic-vacuum-polarization (HVP) contribution to the muon anomalous magnetic moment, using $2+1+1$ staggered fermions. We have collected more statistics on…

High Energy Physics - Lattice · Physics 2022-11-23 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

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

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

The leading-order hadronic contribution to the muon anomalous magentic moment, $a_\mu^{\rm LO,HVP}$, can be expressed as an integral over Euclidean $Q^2$ of the vacuum polarization function. We point out that a simple trapezoid-rule…

High Energy Physics - Lattice · Physics 2014-10-31 Maarten Golterman , Kim Maltman , Santiago Peris

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 compute a theoretically driven prediction for the hadronic contribution to the electromagnetic running coupling at the $Z$ scale using lattice QCD and state-of-the-art perturbative QCD. We…

High Energy Physics - Phenomenology · Physics 2023-08-11 Jens Erler , Rodolfo Ferro-Hernandez

We compute the hadronic light-by-light scattering contributions to the muon anomalous magnetic moment, $\amulbl$, in chiral perturbation theory that are enhanced by large logarithms and a factor of $N_C$. They depend on a low-energy…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Ramsey-Musolf , Mark B. Wise

The experimental uncertainty on the anomalous magnetic moment of the muon has been significantly reduced with the recent results of the Fermilab $g-2$ experiment, and a further reduction is expected in the near future. The precision of the…

High Energy Physics - Lattice · Physics 2024-01-30 Simon Kuberski

We give an update of our calculation of the light-quark, connected, hadronic vacuum polarization contribution to the muon anomalous magnetic moment, or muon $g-2$. The update includes preliminary results on a $2 + 1 + 1$ highly-improved…

High Energy Physics - Lattice · Physics 2026-03-02 Vaishakhi Moningi , Christopher Aubin , Thomas Blum , Maarten Golterman , Luchang Jin , Santiago Peris

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

We report the first result for the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment with all errors systematically controlled. Several ensembles using 2+1 flavors of physical mass M\"obius domain-wall…

High Energy Physics - Lattice · Physics 2020-04-08 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner

We report the first lattice QCD calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment at physical pion mass. The calculation uses a refined noise-reduction technique which enabled…

High Energy Physics - Lattice · Physics 2016-06-15 T. Blum , P. A. Boyle , T. Izubuchi , L. Jin , A. Jüttner , C. Lehner , K. Maltman , M. Marinkovic , A. Portelli , M. Spraggs

We compute the leading, strong-interaction contribution to the anomalous magnetic moment of the electron, muon and tau using lattice quantum chromodynamics (QCD) simulations. Calculations include the effects of $u$, $d$, $s$ and $c$ quarks…

We present new lattice results of the ETM Collaboration, obtained from extensive simulations of lattice QCD with dynamical up, down, strange and charm quarks at physical mass values, different volumes and lattice spacings, concerning the SM…

We present the results of a new evaluation of the anomalous magnetic moment a_mu=(g_mu-2)/2 of the muon where the role of input data needed in the evaluation is lowered in the interval between 1.2 and 3.0 GeV below charm threshold. This is…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Groote , J. G. Körner , J. Maul

We extend our previous work on the light-quark connected part, $a_\mu^{\rm HVP,lqc}$, of the leading order hadronic-vacuum-polarization (HVP) contribution to the muon anomalous magnetic moment $a_\mu$, using staggered fermions, in several…

High Energy Physics - Lattice · Physics 2022-10-05 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

The situation of the experimental data used in the dispersive evaluation of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon is assessed in view of two recent measurements: $e^+e^- \to \pi^+\pi^-$…

High Energy Physics - Phenomenology · Physics 2024-07-24 M. Davier , A. Hoecker , A. M. Lutz , B. Malaescu , Z. Zhang

Lattice QCD (LQCD) studies for the hadron vacuum polarization (HVP) and its contribution to the muon anomalous magnetic moment (muon g-2) are reviewed. There currently exists more than 3-sigma deviations in the muon g-2 between the BNL…

High Energy Physics - Lattice · Physics 2019-06-05 Kohtaroh Miura

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…

High Energy Physics - Lattice · Physics 2025-02-04 C. T. H. Davies , A. S. Kronfeld , G. P. Lepage , C. McNeile , R. S. Van de Water