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Related papers: Light-by-light scattering in the Lamb shift and th…

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We present a set of sum rules relating the low-energy light-by-light scattering to integrals of \gamma\gamma-fusion cross sections and use them to study the hadronic contributions.

High Energy Physics - Phenomenology · Physics 2015-03-19 Vladimir Pascalutsa , Vladyslav Pauk , Marc Vanderhaeghen

Off-shell effects in proton electromagnetic vertices can be constrained from their effects on known processes. In particular, parameters in models for the off-shell effects can be determined by fitting to the proton electric and magnetic…

Atomic Physics · Physics 2011-09-20 Carl E. Carlson , Marc Vanderhaeghen

In this work we develop and implement a method for calculation of the Bethe logarithm for many-electron atoms. This quantity is required to evaluate the leading-order quantum electrodynamics correction to the energy and properties of atomic…

Atomic Physics · Physics 2023-11-21 Michał Lesiuk , Jakub Lang

A method for calculating the self energy part of the Lamb shift is revisited. When the electron propagator in an external field is represented as an expansion in partial waves, the original method converges relatively slowly, requiring the…

Atomic Physics · Physics 2023-08-24 J. Sapirstein , K. T. Cheng

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

The electromagnetic excitation of the $\Delta(1232)$-resonance plays an appreciable role in the Lamb shift and hyperfine structure of muonic and electronic hydrogen. Its effect appears at the subleading order $\mathcal{O}(\alpha^5)$,…

Nuclear Theory · Physics 2018-07-04 Franziska Hagelstein

The evaluation of the numerically dominant pseudoscalar-pole contribution to hadronic light-by-light scattering in the muon g-2 involves the pseudoscalar-photon transition form factor F_{P gamma^* gamma^*}(-Q_1^2, -Q_2^2) with P = pi^0,…

High Energy Physics - Phenomenology · Physics 2016-09-28 Andreas Nyffeler

We calculate the cross section of the electron scattering from a bound nucleon within light-front approximation. The advantage of this approximation is the possibility of systematic account for the off-shell effects which become essential…

Nuclear Theory · Physics 2018-10-03 Frank Vera , Misak M. Sargsian

The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is…

High Energy Physics - Phenomenology · Physics 2023-11-28 Eugen Dizer , Zoltán Harman

Theoretical energy levels of the $n = 1$ and $n = 2$ states of hydrogenlike atoms with the nuclear charge numbers $1 \le Z \le 110$ are tabulated. The tabulation is based on ab initio quantum electrodynamical calculations performed to all…

Atomic Physics · Physics 2015-09-28 V. A. Yerokhin , V. M. Shabaev

Light-by-light scattering is a relatively new area of experimental physics. Our recent, theoretical research shows that studying two photon measurements in regions with lower transverse momentum ($p_{t,\gamma}$) and invariant mass…

High Energy Physics - Phenomenology · Physics 2024-12-18 Antoni Szczurek , Pawel Jucha

We revisit the contributions of order $\alpha^2(Z\alpha)^5m$ and $\alpha^2(Z\alpha)E_F$, respectively, to the Lamb shift and to the hyperfine splitting from mixed self-energy-vacuum-polarization diagrams, involving fermionic loop. We use…

High Energy Physics - Phenomenology · Physics 2023-08-16 Petr A. Krachkov , Roman N. Lee

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 consider the effect of the coupled variations of fundamental constants on the nucleon magnetic moment. The nucleon g-factor enters into the interpretation of the measurements of variations in the fine-structure constant, alpha, in both…

High Energy Physics - Phenomenology · Physics 2011-12-19 Feng Luo , Keith A. Olive , Jean-Philippe Uzan

We consider the two-photon exchange contribution to the $2P-2S$ Lamb shift in muonic deuterium in the framework of forward dispersion relations. The dispersion integrals are evaluated using experimental data on elastic deuteron form factors…

Nuclear Theory · Physics 2014-02-05 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

We study binding corrections to the gyromagnetic factor g_e of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections Delta g_rad are universal to all orders in alpha/pi and the complete…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , Kirill Melnikov , Alexander Yelkhovsky

Hadronic deuteron polarizability correction to the Lamb shift of muonic deuterium is calculated on the basis of unitary isobar model and modern experimental data on the structure functions of deep inelastic lepton-deuteron scattering and…

High Energy Physics - Phenomenology · Physics 2016-06-14 A. V. Eskin , R. N. Faustov , A. P. Martynenko , F. A. Martynenko

The Uehling contribution to the Lamb shift can be computed exactly in terms of the Uehling potential function. However derivations of this function are complex involving avoiding divergences using intricate techniques from early quantum…

General Physics · Physics 2020-09-24 John Mashford

The hadronic light-by-light scattering contribution to muon $g-2$ is examined based on the low energy effective theories of QCD, the Nambu-Jona-Lasinio model and hidden local symmetry approach, supplemented by a general information…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. Hayakawa , T. Kinoshita , A. I. Sanda

A comprehensive theory of the Lamb shift in light muonic atoms such as $\mu$H, $\mu$D, $\mu^3$He$^+$, and $\mu^4$He$^+$ is presented, with all quantum electrodynamic corrections included at the precision level constrained by the uncertainty…

Atomic Physics · Physics 2024-02-22 K. Pachucki , V. Lensky , F. Hagelstein , S. S. Li Muli , S. Bacca , R. Pohl