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We review the current status of theoretical calculations of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment. Different approaches and related issues such as OPE constraints and large breaking of…

High Energy Physics - Phenomenology · Physics 2016-12-21 Joaquim Prades , Eduardo de Rafael , Arkady Vainshtein

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…

High Energy Physics - Lattice · Physics 2024-11-19 Zoltan Fodor , Antoine Gerardin , Laurent Lellouch , Kalman K. Szabo , Balint C. Toth , Christian Zimmermann

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

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.…

High Energy Physics - Lattice · Physics 2017-01-18 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner

We determine the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon using the framework of Dyson-Schwinger and Bethe-Salpeter equations of QCD. Our result for the pseudoscalar ($\pi^0, \eta, \eta'$)…

High Energy Physics - Phenomenology · Physics 2015-03-17 Tobias Goecke , Christian S. Fischer , Richard Williams

We briefly review the current status of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. Based on various model calculations in the literature, we obtain the estimate a_{mu}^{HLbL} = (102 \pm…

High Energy Physics - Phenomenology · Physics 2017-10-27 Andreas Nyffeler

The anomalous magnetic moment of muon, $g-2$, is a very precisely measured quantity. However, the current measurement disagrees with standard model by about 3 standard deviations. Hadronic vacuum polarization and hadronic light by light are…

High Energy Physics - Lattice · Physics 2015-09-29 Luchang Jin , Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Christoph Lehner

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 have computed the hadronic light-by-light (LbL) contribution to the muon anomalous magnetic moment $a_\mu$ in the frame of Chiral Perturbation Theory with the inclusion of the lightest resonance multiplets as dynamical fields (R$\chi$T).…

High Energy Physics - Phenomenology · Physics 2016-12-13 Adolfo Guevara

In this work we study the axial contributions to the hadronic light-by-light piece of the muon anomalous magnetic moment using the framework of resonance chiral theory. As a result, we obtain $a_{\mu}^{\textrm{HLbL};A} =…

High Energy Physics - Phenomenology · Physics 2020-05-05 Pablo Roig , Pablo Sanchez-Puertas

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

The numerically dominant QED contributions to the anomalous magnetic moment of the muon stem from Feynman diagrams with internal electron loops. We consider such corrections and present a calculation of the four-loop light-by-light-type…

High Energy Physics - Phenomenology · Physics 2015-11-04 Alexander Kurz , Tao Liu , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We present a first model-independent calculation of $\pi\pi$ intermediate states in the hadronic-light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon $(g-2)_\mu$ that goes beyond the scalar QED pion loop. To this…

High Energy Physics - Phenomenology · Physics 2017-06-13 Gilberto Colangelo , Martin Hoferichter , Massimiliano Procura , Peter Stoffer

We reassess the impact of short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude on the anomalous magnetic moment of the muon, $a_\mu=(g-2)_\mu/2$, by comparing different solutions that have…

High Energy Physics - Phenomenology · Physics 2021-08-10 Gilberto Colangelo , Franziska Hagelstein , Martin Hoferichter , Laetitia Laub , Peter Stoffer

The current $3.7\sigma$ discrepancy between the Standard Model prediction and the experimental value of the muon anomalous magnetic moment could be a hint for the existence of new physics. The hadronic light-by-light contribution is one of…

High Energy Physics - Phenomenology · Physics 2020-11-25 Johan Bijnens , Nils Hermansson-Truedsson , Laetitia Laub , Antonio Rodriguez-Sanchez

We consider the contribution of scalar resonances to hadronic light-by-light scattering in the anomalous magnetic moment of the muon. While the $f_0(500)$ has already been addressed in previous work using dispersion relations, heavier…

High Energy Physics - Phenomenology · Physics 2021-07-19 Igor Danilkin , Martin Hoferichter , Peter Stoffer

We summarize our results for hadronic contributions to the anomalous magnetic moment of the muon ($a_\mu$), the one from hadronic vacuum-polarisation (HVP) and the light-by-light scattering contribution (LBL), obtained from the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Tobias Goecke , Christian S. Fischer , Richard Williams

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 employ the comparatively minimal extension of hard-wall AdS/QCD due to Katz and Schwartz which takes into account the U(1)$_A$ anomaly for computing hadronic light-by-light scattering contributions of pseudoscalar and axial vector mesons…

High Energy Physics - Phenomenology · Physics 2023-03-29 Josef Leutgeb , Jonas Mager , Anton Rebhan

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