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We present first results for the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon a_{\mu} in the framework of Dyson-Schwinger and Bethe-Salpeter equations. We determine the quark loop and…

High Energy Physics - Phenomenology · Physics 2011-06-13 Christian S. Fischer , Tobias Goecke , Richard Williams

Dirac has predicted that the $g$ factor of an electron is strictly equal to 2 in the framework of relativistic quantum mechanics. However, later physicists have found that this factor can be slightly deviated from 2 (i.e., the problem of…

High Energy Physics - Phenomenology · Physics 2024-01-17 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

The correction to the muon anomalous magnetic moment from the pion-pole contribution to the hadronic light-by-light scattering is considered using a description of the pi0 - gamma* - gamma* transition form factor based on the large-Nc and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marc Knecht , Andreas Nyffeler

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

In this talk we review the recent progress on the numerical determination of the Hadronic Light-by-Light contribution to the anomalous magnetic moment of the muon and we discuss the role of experimental data on the accuracy of its…

High Energy Physics - Phenomenology · Physics 2017-11-08 P. Masjuan , P. Sanchez-Puertas

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

We give a status report on the hadronic light-by-light scattering contribution to the muon's anomalous magnetic moment from the Dyson-Schwinger approach. We discuss novel, model-independent properties of the light-by-light amplitude: we…

High Energy Physics - Phenomenology · Physics 2014-12-18 Gernot Eichmann , Christian S. Fischer , Walter Heupel , Richard Williams

The Lamb Shift (LS) of Hydrogenlike atom is evaluated by a simple method of quantum electrodynamics in noncovariant form, based on the relativistic stationary Schr\"odinger equation. An induced term proportional to $\overrightarrow{p}^4$ in…

Quantum Physics · Physics 2007-05-23 Guang-jiong Ni , Jun Yan

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment can be estimated by computing constituent quark loops. Such an estimate is very sensitive to the numerical values of the constituent quark masses.…

High Energy Physics - Phenomenology · Physics 2015-05-27 Radja Boughezal , Kirill Melnikov

The calculation of the hadronic light-by-light scattering contribution to the muon g-2 currently relies entirely on models. Measurements of the form factors which describe the interactions of hadrons with photons can help to constrain the…

High Energy Physics - Phenomenology · Physics 2013-06-26 Andreas Nyffeler

We compute the charged pion loop contribution to the light-by-light scattering amplitude for off-shell photons in chiral perturbation theory through next-to-leading order (NLO). We show that NLO contributions are relatively more important…

High Energy Physics - Phenomenology · Physics 2013-05-30 Kevin T. Engel , Hiren H. Patel , Michael J. Ramsey-Musolf

Theoretical calculations of the Lamb shift provide the basis required for the determination of the Rydberg constant from spectroscopic measurements in hydrogen. The recent high-precision determination of the proton charge radius drastically…

Atomic Physics · Physics 2019-08-19 Vladimir A. Yerokhin , Krzysztof Pachucki , Vojtech Patkos

We derive an analytical expression for the contribution of the order $m\alpha^2 (Z\alpha)^6$ to the hydrogen Lamb shift which comes from the diagrams for radiative corrections to the Wichmann-Kroll potential. We use modern methods of…

High Energy Physics - Phenomenology · Physics 2023-11-14 Petr A. Krachkov , Roman N. Lee

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

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 report on our computation of the pion transition form factor ${\cal F}_{P\rightarrow \gamma^*\gamma^*}$ from twisted mass lattice QCD in order to determine the numerically dominant light pseudoscalar pole contribution in the hadronic…

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

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Ulrich D. Jentschura

Recently, it was shown that insertions of hadronic vacuum polarization at O(alpha^4) generate non-negligible effects in the calculation of the anomalous magnetic moment of the muon. This result raises the question if other hadronic diagrams…

High Energy Physics - Phenomenology · Physics 2014-06-19 Gilberto Colangelo , Martin Hoferichter , Andreas Nyffeler , Massimo Passera , Peter Stoffer

We compute trace anomaly contribution to hydrogen atom mass, which turns out to be related to the part of the Lamb shift. This finding might shed new light on our understandings of the mass structure of QCD bound states, such as, proton.

High Energy Physics - Phenomenology · Physics 2021-09-15 Bao-dong Sun , Ze-hao Sun , Jian Zhou