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We report calculations of hadronic light-by-light scattering amplitudes via lattice QCD evaluation of Euclidean four-point functions of vector currents. These initial results include only the fully quark-connected contribution. Particular…

High Energy Physics - Lattice · Physics 2015-10-29 Jeremy Green , Nils Asmussen , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Andreas Nyffeler , Vladimir Pascalutsa

The hadronic contribution to the eight forward amplitudes of light-by-light scattering ($\gamma^*\gamma^*\to \gamma^*\gamma^*$) is computed in lattice QCD. Via dispersive sum rules, the amplitudes are compared to a model of the…

High Energy Physics - Lattice · Physics 2018-10-10 Antoine Gérardin , Jeremy Green , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Vladimir Pascalutsa , Hartmut Wittig

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 briefly review several activities at Mainz related to hadronic light-by-light scattering (HLbL) using lattice QCD. First we present a position-space approach to the HLbL contribution in the muon g-2, where we focus on exploratory studies…

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 compute the hadronic light-by-light scattering contribution to the muon $g-2$ from the up, down, and strange-quark sector directly using lattice QCD. Our calculation features evaluations of all possible Wick-contractions of the relevant…

High Energy Physics - Lattice · Physics 2021-08-18 En-Hung Chao , Renwick J. Hudspith , Antoine Gérardin , Jeremy R. Green , Harvey B. Meyer , Konstantin Ottnad

The contribution of hadronic scattering of light-by-light to the hyperfine structure of muonium is calculated using experimental data on the transition form factors of two photons into a hadron. The amplitudes of interaction between a muon…

High Energy Physics - Phenomenology · Physics 2023-11-21 V. I. Korobov , A. V. Eskin , A. P. Martynenko , F. A. Martynenko

We study hadronic light-by-light scattering contribution to the energy interval (1S-2S) in muonium. Various amplitudes of interaction of a muon and an electron are constructed, in which the effect of hadronic scattering of light-by-light is…

High Energy Physics - Phenomenology · Physics 2024-11-18 V. I. Korobov , F. A. Martynenko , A. P. Martynenko , A. V. Eskin

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…

High Energy Physics - Lattice · Physics 2015-01-14 Thomas Blum , Saumitra Chowdhury , Masashi Hayakawa , Taku Izubuchi

The quark-connected part of the hadronic light-by-light scattering contribution to the muon's anomalous magnetic moment is computed using lattice QCD with chiral fermions. We report several significant algorithmic improvements and…

High Energy Physics - Lattice · Physics 2016-01-20 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Christoph Lehner

Hadronic light-by-light scattering is one of the virtual processes that causes the gyromagnetic factor $g$ of the muon to deviate from the value of two predicted by Dirac's theory. This process makes one of the largest contributions to the…

High Energy Physics - Lattice · Physics 2023-05-02 Nils Asmussen , En-Hung Chao , Antoine Gérardin , Jeremy R. Green , Renwick J. Hudspith , Harvey B. Meyer , Andreas Nyffeler

We briefly review the current status of the hadronic light-by-light scattering correction to the muon g-2. Then we present our semi-analytical evaluation of the pion-pole contribution, using a description of the pion-photon-photon form…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andreas Nyffeler

After a brief self-contained introduction to the muon anomalous magnetic moment, (g-2), we review the status of lattice calculations of the hadronic vacuum polarization contribution and present first results from lattice QCD for the…

High Energy Physics - Lattice · Physics 2013-01-15 T. Blum , M. Hayakawa , T. Izubuchi

We present our recent semi-analytical evaluation of the pion-pole contribution to hadronic light-by-light scattering, using a description of the pion-photon-photon form factor based on large-N_C and short-distance properties of QCD.…

High Energy Physics - Phenomenology · Physics 2017-08-23 Andreas Nyffeler

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

After a brief introduction on ongoing experimental and theoretical activities on $(g-2)_\mu$, we report on recent progress in approaching the calculation of the hadronic light-by-light contribution with dispersive methods. General…

High Energy Physics - Phenomenology · Physics 2018-04-18 Gilberto Colangelo , Martin Hoferichter , Massimiliano Procura , Peter Stoffer

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 briefly review the current status of the hadronic light-by-light scattering correction to the muon g-2. Then we present our semi-analytical evaluation of the pion-pole contribution, using a description of the pion-photon-photon…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andreas Nyffeler

We discuss hadronic light-by-light scattering contribution to the muon anomalous magnetic moment a_\mu^{\rm lbl}, paying particular attention to the consistent matching between the short- and the long-distance behavior of the light-by-light…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kirill Melnikov , Arkady Vainshtein

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, $(g-2$)/2, is computed in the infinite volume QED framework with lattice QCD. We report $a_\mu^\text{HLbL}=12.47(1.15)(0.95) \times 10^{-10}$ where…

High Energy Physics - Lattice · Physics 2024-12-09 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner , Cheng Tu
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