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The pseudoscalar pole contribution is the dominant source of the $ {\cal O}(\alpha^3) $ hadronic light-by-light scattering effect in muon $g - 2$. We have examined this contribution taking account of the off-shell structure of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Hayakawa , T. Kinoshita

We evaluate the light-quark meson contributions to three exact light-by-light scattering sum rules in light of new data by the Belle Collaboration, which recently has extracted the transition form factors of the tensor meson $f_2(1270)$ as…

High Energy Physics - Phenomenology · Physics 2017-03-27 Igor Danilkin , Marc Vanderhaeghen

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

The hadronic light-by-light contribution to the muon anomalous magnetic moment is calculated in the framework of a nonlocal quark model with scalar-pseudoscalar and vector-axial-vector channels. The effect of the dressing of internal…

High Energy Physics - Phenomenology · Physics 2025-04-21 A. E. Radzhabov , A. S. Zhevlakov

There are indications that hadronic loops in some electroweak observables are almost saturated by parton level effects. Taking this as the hypothesis for this work, we propose a genuine parton level estimate of the hadronic light-by-light…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jens Erler , Genaro Toledo Sanchez

We give a short overview of the theory of the muon anomalous magnetic moment with emphasis on the hadronic light-by-light and the pion loop contribution. We explain the difference between the hidden local symmetry and full VMD pion loop and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Johan Bijnens , Mehran Zahiri Abyaneh

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 current status of the muon anomalous magnetic moment (AMM) problem is briefly presented. The corrections to the muon AMM coming from the effects of hadronic light-by-light (LbL) scattering due to light quark-antiquark exchange in…

High Energy Physics - Phenomenology · Physics 2012-12-05 A. E. Dorokhov , A. E. Radzhabov , A. S. Zhevlakov

In our previous work, the connected and leading disconnected hadronic light-by-light contributions to the muon anomalous magnetic moment (g - 2) have been computed using lattice QCD ensembles corresponding to physical pion mass generated by…

High Energy Physics - Lattice · Physics 2017-08-30 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner

The low-energy light-by-light cross section as determined by the nonlinear Euler-Heisenberg QED Lagrangian is evaluated in the presence of constant magnetic fields in the center-of-mass system of the colliding photons. This cross section…

High Energy Physics - Phenomenology · Physics 2018-09-12 R. Baier , A. Rebhan , M. Wödlinger

We investigate the use of partially twisted boundary conditions in a lattice simulation with two degenerate flavours of improved Wilson sea quarks. The use of twisted boundary conditions on a cubic volume (L^3) gives access to components of…

High Energy Physics - Lattice · Physics 2009-10-09 J. M. Flynn , A. Juttner , C. T. Sachrajda

The QED hadronic vacuum polarization function plays an important role in the determination of precision electroweak observables and of the anomalous magnetic moment of the muon. These contributions have been computed from data, by means of…

High Energy Physics - Phenomenology · Physics 2023-11-14 Nina M. Coyle , Carlos E. M. Wagner

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 dispersive approach to the hadronic light-by-light contribution to the muon $g-2$ involves an integral over three virtual photon momenta appearing in the light-by-light tensor. Building upon previous works, we systematically derive…

High Energy Physics - Phenomenology · Physics 2025-02-07 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodríguez-Sánchez

The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared ($Q_i^2$) of the correlator of four electromagnetic currents and the fourth leg at zero momentum.…

High Energy Physics - Phenomenology · Physics 2020-12-02 Johan Bijnens , Nils Hermansson-Truedsson , Laetitia Laub , Antonio Rodríguez-Sánchez

We derive a set of sum rules for the light-by-light scattering and fusion: $\gamma\gamma \to all$, and verify them in lowest order QED calculations. A prominent implication of these sum rules is the superconvergence of the…

High Energy Physics - Phenomenology · Physics 2010-12-02 Vladimir Pascalutsa , Marc Vanderhaeghen

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

Next to the $\pi^0$ pole, $\eta$ and $\eta'$ intermediate states give rise to the leading singularities of the hadronic light-by-light tensor, resulting in sizable contributions to the anomalous magnetic moment of the muon $a_\mu$. The…

High Energy Physics - Phenomenology · Physics 2025-04-30 Simon Holz , Martin Hoferichter , Bai-Long Hoid , Bastian Kubis

We review recent progress on the numerical determination of the Hadronic Light-by-Light contribution to the anomalous magnetic moment of the muon. We advocate for a slight increase of the White Paper number for its Standard Model…

High Energy Physics - Phenomenology · Physics 2024-01-12 Pere Masjuan , Pablo Roig

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
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