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The fully relativistic theory of the g factor of Li-like ions with nonzero nuclear spin is considered for the (1s)^2 2s state. The magnetic-dipole hyperfine-interaction correction to the atomic g factor is calculated including the…

Atomic Physics · Physics 2009-11-13 D. L. Moskovkin , V. M. Shabaev , W. Quint

A new result for the hadronic vacuum polarization correction to the muonium hyperfine splitting (HFS) is presented: Delta nu(had - vp) = (0.233 +- 0.003) kHz. Compared with previous calculations, the accuracy is improved by using the latest…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andrzej Czarnecki , Simon I. Eidelman , Savely G. Karshenboim

I present a status report of the hadronic vacuum polarization effects for the muon $g-2$, to be considered as an update of [1]. The update concerns recent new inclusive $R$ measurements from KEDR in the energy range 1.84 to 3.72 GeV. For…

High Energy Physics - Phenomenology · Physics 2018-02-14 Fred Jegerlehner

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

Atomic Physics · Physics 2019-04-10 Niklas Michel , Natalia S. Oreshkina

The general formula for the interaction potential between two point electric charges which contains the lowest order corrections to the vacuum polarization is derived and investigated. Analytical derivation of this formula is based on the…

Mathematical Physics · Physics 2013-10-08 Alexei M. Frolov

The dispersive approach to quantum chromodynamics is applied to the study of the hadronic vacuum polarization function and associated quantities. This approach merges the intrinsically nonperturbative constraints, which originate in the…

High Energy Physics - Phenomenology · Physics 2015-07-14 A. V. Nesterenko

The two-loop electron self-energy correction is one of the most problematic QED effects and, for a long time, was the dominant source of uncertainty in the theoretical prediction of the bound-electron $g$ factor in hydrogen-like ions. A…

Atomic Physics · Physics 2025-12-08 V. A. Yerokhin , B. Sikora , Z. Harman , C. H. Keitel

This paper is devoted to a study of relativistic eigenstates of Dirac particles which are simultaneously bound by a static Coulomb potential and added linear confining potentials. It has recently been shown that, despite the addition of…

Quantum Physics · Physics 2015-02-09 J. H. Noble , U. D. Jentschura

We calculated the binding energy of a polaron bound to a hydrogenic donor impurity located in a spherical quantum dot by means of a variational and numerical technique for finite potential models. The polaronic effect has been considered…

Other Condensed Matter · Physics 2009-09-29 H. Satori , M. Harti , N. Chenfour , F. Assaoui

We consider the impact of O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation, by a linear function in the electron energy.…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. I. Davydychev , K. Schilcher , H. Spiesberger

Results for the complete NLO electroweak corrections to Standard Model Higgs production via gluon fusion are included in the total cross section for hadronic collisions. Artificially large threshold effects are avoided working in the…

High Energy Physics - Phenomenology · Physics 2008-12-18 S. Actis , G. Passarino , C. Sturm , S. Uccirati

In calculating the energy corrections to the hydrogen levels we can identify two different types of modifications of the Coulomb potential $V_{C}$, with one of them being the standard quantum electrodynamics corrections, $\delta V$,…

Atomic Physics · Physics 2018-10-03 A. D. Bermudez Manjarres , D. Bedoya Fierro , N. G. Kelkar , M. Nowakowski

In this work we focus on the evaluation of the leading-order hadronic vacuum polarization contribution from the $\pi\pi$ channel to the muon anomalous magnetic moment $a_\mu$ by using the experimental $\tau\to\pi\pi\nu_\tau$ data. The…

High Energy Physics - Phenomenology · Physics 2025-10-07 Zhi-Xin Li , Ao Li , Jin Hao , Chun-Gui Duan , Zhi-Hui Guo

In these proceedings, we consider the factorizable contributions of the two-loop electroweak corrections to Higgs boson pair production at the Large Hadron Collider. We discuss the classification of factorizable diagrams and their…

High Energy Physics - Phenomenology · Physics 2024-07-09 Joshua Davies , Kay Schönwald , Matthias Steinhauser , Hantian Zhang

A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a…

High Energy Physics - Lattice · Physics 2018-12-27 Vera Gülpers , Andreas Jüttner , Christoph Lehner , Antonin Portelli

We derive a general relativistic Hamiltonian valid for both bound and scattering systems by reducing the four-component Dirac equation to a two-component Dirac-Pauli form. Unlike conventional approaches, our formulation includes first-order…

High Energy Physics - Phenomenology · Physics 2025-11-13 Abdelhamid Albaid

We calculate the electroweak corrections of the order $O({m_t^2\over v^2})$ to the QCD production of $t\bar{t}$ pairs via $q+qbar->t+tbar$ at hadron colliders and show that these corrections to the total production rate are small. This…

High Energy Physics - Phenomenology · Physics 2009-09-25 C. Kao , G. A. Ladinsky , C. -P. Yuan

The influence of pressure on finite-nuclear-size corrections to atomic energy levels and electron-capture decay rate is investigated in confined hydrogenlike ions. The ions are modeled inside an impenetrable spherical cavity, with a…

Atomic Physics · Physics 2026-05-08 Dengshan Liu , Huihui Xie , Pengxiang Du , Tianshuai Shang , Jian Li , Jiguang Li , Tomoya Naito

We study vacuum polarization due to strong fields, in the presence of an electron-positron plasma. For this purpose, we expand quantum kinetic equations using weak fields and slow temporal scales as expansion parameters. It is demonstrated…

Plasma Physics · Physics 2025-12-09 Sebastian Lundström , Philip Semrén , Haidar Al-Naseri , Gert Brodin

Lattice QCD calculations of the hadronic vacuum polarization (HVP) have reached a precision where the electromagnetic (e.m.) correction can no longer be neglected. This correction is both computationally challenging and hard to validate, as…