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A relativistic theory of the Zeeman splitting of hyperfine levels in two-fermion systems is presented. The approach is based on the variational equation for bound states derived from quantum electrodynamics [1]. Relativistic corrections to…

高能物理 - 唯象学 · 物理学 2008-05-27 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

The nuclear recoil effect on the $^2 P_{3/2}$-state $g$ factor of B-like ions is calculated to first order in the electron-to-nucleus mass ratio $m/M$ in the range $Z=18$--$92$. The calculations are performed by means of the $1/Z$…

原子物理 · 物理学 2020-05-20 A. V. Malyshev , D. A. Glazov , I. A. Aleksandrov , I. I. Tupitsyn , V. M. Shabaev

The three-loop QCD contributions to the vacuum polarization functions of the $Z$ and $W$ bosons at zero momentum are calculated. The top quark is considered to be massive and the other quarks massless. Using these results, we calculate the…

高能物理 - 唯象学 · 物理学 2011-01-13 L. Avdeev , J. Fleischer , S. Mikhailov , O. Tarasov

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…

高能物理 - 唯象学 · 物理学 2025-11-13 Abdelhamid Albaid

A new framework to study electroweak physics at one-loop level in general ${\rm SU(2)_L \times U(1)_Y}$ theories is introduced. It separates the 1-loop corrections into two pieces: process specific ones from vertex and box contributions and…

高能物理 - 唯象学 · 物理学 2008-02-03 K. Hagiwara , S. Matsumoto , C. S. Kim

We provide the two-loop corrections to the Higgs boson masses of the CP-violating NMSSM in the Feynman diagrammatic approach with vanishing external momentum at ${\cal O} (\alpha_t \alpha_s)$. The adopted renormalization scheme is a mixture…

高能物理 - 唯象学 · 物理学 2014-12-03 Margarete Muhlleitner , Dao Thi Nhung , Heidi Rzehak , Kathrin Walz

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…

We calculate the relativistic corrections of relative order (Z alpha)^2$ to the two-photon decay rate of higher excited S and D states in ionic atomic systems, and we also evaluate the leading radiative corrections of relative order alpha…

原子物理 · 物理学 2009-09-29 B. J. Wundt , U. D. Jentschura

The recently established agreement between experiment and theory for the $g$ factors of lithiumlike silicon and calcium ions manifests the most stringent test of the many-electron bound-state quantum electrodynamics (QED) effects in the…

We report on the complete three-loop corrections to the Higgs-gluon form factor in QCD. While previous calculations are based on QCD with a single heavy quark of arbitrary mass, we extend the study to QCD involving two different massive…

高能物理 - 唯象学 · 物理学 2024-02-28 Marco Niggetiedt , Johann Usovitsch

Dirac has predicted that the $g$ factor of an electron is strictly equal to 2 in the framework of relativistic quantum mechanics. However, later physicists have found that this factor can be slightly deviated from 2 (i.e., the problem of…

高能物理 - 唯象学 · 物理学 2024-01-17 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

We compute the complete next-to-leading order electroweak corrections to the form factors entering gluon-induced Higgs boson pair production. We consider the top quark contribution in the limit where the Mandelstam variables are much larger…

高能物理 - 唯象学 · 物理学 2026-03-11 Joshua Davies , Kay Schönwald , Matthias Steinhauser , Hantian Zhang

Results for the full electroweak two-loop contributions of O(Nc^2), where Nc is the colour factor, to the Higgs-boson masses in the MSSM are obtained using a Feynman-diagrammatic approach including the full dependence on the external…

高能物理 - 唯象学 · 物理学 2024-10-01 Henning Bahl , Daniel Meuser , Georg Weiglein

We compute the two-loop mixed QCD-Electroweak corrections to $q \overline{q} \to H g$ and its crossed channels $q g \to H q$, $\overline{q} g \to H \overline{q}$, limiting ourselves to the contribution of light virtual quarks. We compute…

高能物理 - 唯象学 · 物理学 2022-07-18 Marco Bonetti , Erik Panzer , Lorenzo Tancredi

The nuclear recoil effect on the $g$ factor of H- and Li-like heavy ions is evaluated to all orders in $\alpha Z$. The calculations include an approximate treatment of the nuclear size and the electron-electron interaction corrections to…

原子物理 · 物理学 2018-04-03 A. V. Malyshev , V. M. Shabaev , D. A. Glazov , I. I. Tupitsyn

In this paper we investigate higher-order corrections to the energies of bound states in hydrogen subjected to the external blackbody radiation field. In particular, within the framework of thermal quantum electrodynamics and $S$-matrix…

原子物理 · 物理学 2023-10-10 T. Zalialiutdinov , D. Solovyev

We compute four-loop corrections to the hadronic decay of the Standard Model Higgs boson which are induced by effective couplings to bottom quarks and gluons, mediated by the top quark. Our numerical results are comparable in size to the…

高能物理 - 唯象学 · 物理学 2017-05-24 Joshua Davies , Matthias Steinhauser , David Wellmann

The two-loop self-energy correction to the ground state Lamb shift is calculated for hydrogen-like ions with the nuclear charge Z=10-30 without any expansion in the binding field of the nucleus. A calculational technique is reported for…

原子物理 · 物理学 2015-05-14 V. A. Yerokhin

We report an ab initio calculation of the shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions. This investigation takes into account several effects that have not been calculated before (electron…

原子物理 · 物理学 2015-06-04 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

Theoretical predictions underlying determinations of the fine structure constant alpha and the electron-to-proton mass ratio m_e/m_p are reviewed, with the emphasis on the bound electron magnetic anomaly g-2. The theory of the interaction…

高能物理 - 唯象学 · 物理学 2010-12-13 Andrzej Czarnecki , Matthew Dowling , Jorge Mondejar , Jan H. Piclum