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Related papers: Nonrelativistic QED approach to the bound-electron…

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Nonrelativistic QED bound states are difficult to study because of the presence of at least three widely different scales: the masses, three-momenta ($p_i$) and kinetic energies ($K_i$) of the constituents. Nonrelativistic QED (NRQED), an…

High Energy Physics - Phenomenology · Physics 2011-07-19 Patrick Labelle

Theoretical calculations of the interelectronic-interaction and QED corrections to the $g$ factor of the ground state of boronlike ions are presented. The first-order interelectronic-interaction and the self-energy corrections are evaluated…

Atomic Physics · Physics 2019-01-09 V. A. Agababaev , D. A. Glazov , A. V. Volotka , D. V. Zinenko , V. M. Shabaev , G. Plunien

We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equations method, augmented by an $\epsilon$-factorized basis, which…

High Energy Physics - Theory · Physics 2024-11-08 Claude Duhr , Federico Gasparotto , Christoph Nega , Lorenzo Tancredi , Stefan Weinzierl

Gauge invariance of noncommutative (NC) regularization which, on the basis of a Lorentz-invariant NC action regarded as a `regulated' action, neither introduces auxiliary fields nor extends dimensions to complex values, is proved by…

High Energy Physics - Theory · Physics 2007-05-23 Katsusada Morita

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

We perform ab initio QED calculations of energy levels for the $n=1$ and $n=2$ states of He-like ions with the nuclear charge in the range $Z = 12$-100. The complete set of two-electron QED corrections is evaluated to all orders in the…

Atomic Physics · Physics 2009-11-11 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin , G. Plunien , G. Soff

First results on the radiative corrections of order O(N_f\alpha_s\alpha) are presented for the off-shell production of W or Z bosons at the LHC, where N_f is the number of fermion flavours. These corrections comprise all diagrams at…

High Energy Physics - Phenomenology · Physics 2021-02-03 Stefan Dittmaier , Timo Schmidt , Jan Schwarz

Following detailed analysis of relativistic, QED and mass corrections for helium-like and lithium-like ions with static nuclei for $Z \leq 20$ the domain of applicability of Non-Relativistic QED (NRQED) is localized for ground state energy.…

Atomic Physics · Physics 2022-08-23 Alexander V. Turbiner , Juan Carlos Lopez Vieyra , Horacio Olivares-Pilon

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

A calculation of the one-loop self-energy and vacuum-polarization corrections to the hyperfine splitting of the 1s and 2s states in light H-like ions is carried out to all orders in the parameter Z \alpha. Using the known values for the Z…

Atomic Physics · Physics 2009-11-11 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev , G. Plunien

The accurate determination of atomic masses and the high-precision measurement of the bound-electron g factor are prerequisites for the determination of the electron mass, which is one of the fundamental constants of nature. In the 2002…

Atomic Physics · Physics 2007-05-23 U. D. Jentschura , A. Czarnecki , K. Pachucki , V. A. Yerokhin

The contributions to the (g-2) of the electron from the corner-ladder graphs in sixth-order (three-loop) QED perturbation theory are evaluated in closed analytical form. The results obtained are in excellent agreement with the most precise…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Laporta

In this work, we use the framework of effective field theory to couple Einstein's gravity to quantum electrodynamics (QED) and determine the gravitational corrections to the two-loop beta function of the electric charge in arbitrary…

High Energy Physics - Theory · Physics 2021-12-15 L. Ibiapina Bevilaqua , M. Dias , A. C. Lehum , C. R. Senise , A. J. da Silva , Huan Souza

We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory is treated as an effective field…

High Energy Physics - Theory · Physics 2009-11-07 N. E. J. Bjerrum-Bohr

The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between…

Quantum Physics · Physics 2009-11-10 Eric-Olivier Le Bigot , Ulrich D. Jentschura , Paul Indelicato , Peter J. Mohr

The self-energy and vertex QED radiative corrections to the parity nonconservation (PNC) amplitude in atoms are obtained using the perturbation theory in powers of (alpha Z). The calculated linear in (alpha Z) term gives -0.6 % for the PNC…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Yu. Kuchiev

Order $\alpha^2$ corrections to the decay rate of parapositronium are calculated. A QED scattering calculation of the amplitude for electron-positron annihilation into two photons at threshold is combined with the technique of effective…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gregory S. Adkins , Nathan M. McGovern , Richard N. Fell , J. Sapirstein

Variational and perturbative relativistic energies are computed and compared for two-electron atoms and molecules with low nuclear charge numbers. In general, good agreement of the two approaches is observed. Remaining deviations can be…

Chemical Physics · Physics 2022-09-21 Dávid Ferenc , Péter Jeszenszki , Edit Mátyus

The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,...,…

High Energy Physics - Theory · Physics 2009-11-10 S. M. Kuzenko , I. N. McArthur

In this paper, we present a comprehensive analysis of the one-loop self-energy correction at finite temperature for the bound electron. In this approach, we study the influence of thermal radiation on atomic systems. Along the way, we found…

Atomic Physics · Physics 2025-07-22 J. J. Lopez-Rodriguez , A. Bobylev , P. Kvasov , T. Zalialiutdinov , D. Solovyev
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