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The fine structure constant $\alpha$ has a particular status in physics. Its precise determination is required to test the quantum electrodynamics (QED) theory. The constant $\alpha$ is also a keystone for the determination of other…

The self-energy and vertex QED radiative corrections (Z alpha^2 f(Z alpha)) are shown to give a large negative contribution to the parity nonconserving (PNC) amplitude in heavy atoms. The correction -0.7(2)% found for the 6s-7s PNC…

High Energy Physics - Phenomenology · Physics 2009-08-18 M. Yu. Kuchiev , V. V. Flambaum

The quantum electrodynamical (QED) short wavelength correction on plasma wave propagation for a non-relativistic quantum plasma is investigated. A general dispersion relation for a thermal multi-component quantum plasma is derived. It is…

Plasma Physics · Physics 2009-03-19 J. Lundin , J. Zamanian , M. Marklund , G. Brodin

We perform a calculation of quantum electrodynamics effects in excited states with $l>1$ of arbitrary two-body systems up to $\alpha^6\,\mu$ order. The obtained results are valid for hadronic atoms, as long as the strong interaction effects…

Atomic Physics · Physics 2022-10-19 Jacek Zatorski , Vojtěch Patkóš , Krzysztof Pachucki

Accurate calculations of the binding energies, the hyperfine splitting, the bound-electron g-factor, and the parity nonconservation effects in heavy few-electron ions are considered. The calculations include the relativistic, quantum…

The simplest, algebraic quantum-electrodynamical corrections, due to the double-negative energy subspace and instantaneous interactions, are computed to the no-pair energy of two-spin-1/2-fermion systems. Numerical results are reported for…

Chemical Physics · Physics 2025-12-09 Péter Jeszenszki , Edit Mátyus

We present a derivation of the last unknown part of the $\alpha^7m$ contribution to the Lamb shift of a two-electron atom, induced by the radiative QED effects beyond the Bethe logarithm. This derivation is performed in the framework of…

Atomic Physics · Physics 2021-01-13 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

We present a detailed investigation of the leading-order $m\alpha^5$ QED correction with inclusion of the finite-nuclear-mass effects. Previously, this correction had been calculated within an expansion in the electron-nucleus mass ratio…

Atomic Physics · Physics 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The energy levels of the muonium ($\mu^+ e^-$) atom, which consists of two ''point-like'' leptonic particles, can be calculated to very high accuracy in the framework of bound state Quantum Electrodynamics (QED), since there are no…

Atomic Physics · Physics 2016-09-08 Klaus P. Jungmann

We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals, which we compute analytically using the differential…

High Energy Physics - Phenomenology · Physics 2023-11-14 Maximilian Delto , Claude Duhr , Lorenzo Tancredi , Yu Jiao Zhu

Despite quantum electrodynamics (QED) being one of the most stringently tested theories underpinning modern physics, recent precision atomic spectroscopy measurements have uncovered several small discrepancies between experiment and theory.…

We reconsider the two-loop electron self-energy in quantum electrodynamics. We present a modern calculation, where all relevant two-loop integrals are expressed in terms of iterated integrals of modular forms. As boundary points of the…

High Energy Physics - Phenomenology · Physics 2024-08-22 Ina Hönemann , Kirsten Tempest , Stefan Weinzierl

Higher-order QED effects play an important role in precision measurements of nucleon elastic form factors in electron scattering. Here we introduce a two-photon exchange QED correction to the parity-violating polarization asymmetry of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andrei V. Afanasev , Carl E. Carlson

High-precision results are reported for the energy levels of $2{^1S}$ and $2{^1P}$ states of the beryllium atom. Calculations are performed using fully correlated Gaussian basis sets and taking into account the relativistic, quantum…

Atomic Physics · Physics 2018-08-08 Mariusz Puchalski , Krzysztof Pachucki , Jacek Komasa

Relativistic and QED corrections were calculated for hyperfine splitting of the $2S_{1/2}$ ground state in $^{6,7}$Li atoms with an exact account for electronic correlations. The resulting theoretical predictions achieved such a precision…

Atomic Physics · Physics 2015-06-17 Mariusz Puchalski , Krzysztof Pachucki

The quantum electrodynamic correction to the energy of the hydrogen molecule has been evaluated without expansion in the electron-proton mass ratio. The obtained results significantly improve the accuracy of theoretical predictions reaching…

Atomic Physics · Physics 2019-04-08 M. Puchalski , J. Komasa. P. Czachorowski , K. Pachucki

The $O(\alpha)$ leptonic QED corrections to neutral current polarized deep inelastic lepton-nucleon scattering are calculated in leptonic variables both for the case of longitudinal and transverse nucleon polarization. The results of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. Bardin , J. Blümlein , P. Christova , L. Kalinovskaya

Precise numerical calculation of radiofrequency intervals between hyperfine sublevels of the $(37,35)$ state of the antiprotonic helium-4 atom is presented. Theoretical consideration includes the QED corrections of order $m\alpha^6$ to the…

Atomic Physics · Physics 2014-02-11 Vladimir I. Korobov , Zhen-Xiang Zhong

We calculate the QED corrections to deep inelastic scattering with tagged photons at HERA in the leading logarithmic approximation. Due to the special experimental setup, two large scales appear in the calculation that lead to two large…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Anlauf , A. B. Arbuzov , E. A. Kuraev , N. P. Merenkov

The ${\cal O} (\alpha^3)$ leading logarithmic contribution to the QED radiator in the additive form is considered. The effect of the correction on two-fermion physics at LEP1 and LEP2 is evaluated and critically compared with the one of…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Montagna , O. Nicrosini , F. Piccinini