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In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This…

High Energy Physics - Lattice · Physics 2019-07-31 J. Bijnens , J. Harrison , N. Hermansson-Truedsson , T. Janowski , A. Jüttner , A. Portelli

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l=n-1). The result is obtained in a closed…

Atomic Physics · Physics 2009-11-11 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy…

The leading relativistic and QED corrections to the ground state energy of the three-body system (epe) are calculated numerically using a Hylleraas correlated basis set. The accuracy of the nonrelativistic variational ground state wave…

Atomic Physics · Physics 2007-05-23 M. Grigorescu , G. W. F. Drake

First-principles studies of strongly-interacting hadronic systems using lattice quantum chromodynamics (QCD) have been complemented in recent years with the inclusion of quantum electrodynamics (QED). The aim is to confront experimental…

High Energy Physics - Lattice · Physics 2019-03-21 Zohreh Davoudi , James Harrison , Andreas Jüttner , Antonin Portelli , Martin J. Savage

The quantum electrodynamics formalism to treat the interelectronic-interaction correction of first order in $1/Z$ to the two-electron part of the nuclear recoil effect on binding energies in atoms and ions is developed. The nonperturbative…

Atomic Physics · Physics 2019-07-24 A. V. Malyshev , I. S. Anisimova , D. V. Mironova , V. M. Shabaev , G. Plunien

The leading long-distance quantum correction to the Newtonian potential for heavy spinless particles is computed in quantum gravity. The potential is obtained directly from the sum of all graviton exchange diagrams contributing to lowest…

High Energy Physics - Theory · Physics 2009-10-28 H. W. Hamber , S. Liu

Self-energy and vacuum polarization effects in quantum electrodynamics (QED) are calculated for the supercritical Coulomb field, where Dirac energy levels become embedded in the negative-energy continuum. In this regime, the quantum vacuum…

Atomic Physics · Physics 2024-09-16 V. A. Zaytsev , V. A. Yerokhin , C. H. Keitel , N. S. Oreshkina

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

Introducing a short range force coupling the spinless fermions to one unit of angular momentum in the framework of pionless EFT, we first report the two-body scattering amplitudes with Coulomb corrections, extended to two fermions of…

Nuclear Theory · Physics 2021-10-22 Gianluca Stellin

In this work, we investigate the magnetic properties of the quantum vacuum in the context of QED. We calculate the quantum relativistic correction of virtual particle--anti-particle pair creation to the field of a classical point-like…

High Energy Physics - Phenomenology · Physics 2026-05-07 T. Azevedo , F. A. Barone , C. Farina , R. de Melo e Souza , G. Zarpelon

The velocity renormalization group is used to determine ln(alpha) contributions to QED bound state energies. The leading order anomalous dimension for the potential gives the alpha^5 ln(alpha) Bethe logarithm in the Lamb shift. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Aneesh V. Manohar , Iain W. Stewart

The pionium decay width is evaluated in the framework of chiral perturbation theory and the relativistic bound state formalism of constraint theory. Corrections of order O(\alpha) are calculated with respect to the conventional lowest-order…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. Jallouli , H. Sazdjian

This letter is an investigation of the pion form factor utilizing recently developed effective field theory techniques. The primary results reported are: Both the transition and electromagnetic form factors are corrected at order…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ira Z. Rothstein

We study the part of the renormalized, cutoff QED light-front Hamiltonian that does not change particle number. The Hamiltonian contains interactions that must be treated in second-order bound state perturbation theory to obtain hyperfine…

High Energy Physics - Phenomenology · Physics 2010-11-19 Martina Brisudova , Robert Perry

Formulas and expectation values which are need to determine the lowest-order QED corrections ($\sim \alpha^3$) and corresponding recoil (or finite mass) corrections in the two-electron helium-like ions are presented. Other important…

Atomic Physics · Physics 2015-09-22 Alexei M. Frolov

We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, $a_\ell$. We work in the electroquenched approximation and use dynamical…

High Energy Physics - Lattice · Physics 2018-04-18 Andrea Bussone , Michele Della Morte , Tadeusz Janowski

I present a unifying scheme for hadronic functions that comprises logarithmic corrections due to gluon emission in perturbative QCD, as well as power-behaved corrections of nonperturbative origin. The latter are derived by demanding that…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis

This work is a collection of initial calculations and formal considerations within the Salpeter-Sucher exact equal-time relativistic quantum electrodynamics framework. The calculations are carried out as preparation for the computation of…

Chemical Physics · Physics 2024-06-11 Adám Margócsy , Edit Mátyus

Quantum power corrections to the gravitational spin-orbit and spin-spin interactions, as well as to the Lense-Thirring effect, were found for particles of spin 1/2. These corrections arise from diagrams of second order in Newton…

General Relativity and Quantum Cosmology · Physics 2014-11-17 G. G. Kirilin