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The logarithmically enhanced alpha^7 ln(1/alpha) contribution to the hyperfine splitting of the positronium ground-state energy levels is calculated in the framework of dimensionally regularized nonrelativistic quantum electrodynamics. The…

高能物理 - 唯象学 · 物理学 2016-09-06 Bernd A. Kniehl , Alexander A. Penin

The present review includes the description of theoretical methods for the investigations of the spectra of hydrogen-like systems. Various versions of the quasipotential approach and the method of the effective Dirac equation are…

高能物理 - 唯象学 · 物理学 2011-07-19 Valeri V. Dvoeglazov , Rudolf N. Faustov , Yuri N. Tyukhtyaev

We study time integration schemes for $\dot H^1$-solutions to the energy-(sub)critical semilinear wave equation on $\mathbb{R}^3$. We show first-order convergence in $L^2$ for the Lie splitting and convergence order $3/2$ for a corrected…

数值分析 · 数学 2026-04-15 Maximilian Ruff , Roland Schnaubelt

Analytic formulae for the one-loop order QCD corrections to the differential width of the semileptonic b decay are given with the tau polarization taken into account. Thence the polarization of tau is expressed by its energy and the…

高能物理 - 唯象学 · 物理学 2009-10-30 M. Jezabek , P. Urban

QED corrections to the $g$ factor of Li-like and B-like ions in a wide range of nuclear charges are presented. Many-electron contributions as well as radiative effects on the one-loop level are calculated. Contributions resulting from the…

原子物理 · 物理学 2020-07-15 H. Cakir , V. A. Yerokhin , N. S. Oreshkina , B. Sikora , I. I. Tupitsyn , C. H. Keitel , Z. Harman

Contributions to HFS and to the Lamb shift intervals of order $\alpha^2(Z\alpha)^5$ induced by graphs with two radiative photons inserted in the electron line are considered. It is demonstrated that this last gauge invariant set of diagrams…

高能物理 - 唯象学 · 物理学 2014-11-17 Michael I. Eides , Savely G. Karshenboim , Valery A. Shelyuto

The Higgs trilinear coupling provides a unique opportunity to study the structure of the Higgs sector and probe indirect signs of BSM Physics -- even if new states are somehow hidden. In models with extended Higgs sectors, large deviations…

高能物理 - 唯象学 · 物理学 2020-12-11 Johannes Braathen , Shinya Kanemura

The current discrepancy of theory and experiment observed recently in muonic hydrogen necessitates a reinvestigation of all corrections to contribute to the Lamb shift in muonic hydrogen muH, muonic deuterium muD, the muonic 3He ion, as…

原子物理 · 物理学 2012-07-03 U. D. Jentschura , B. J. Wundt

The fine structure interval of P states in hydrogenlike systems can be determined theoretically with high precision, because the energy levels of P states are only slightly influenced by the structure of the nucleus. Therefore a measurement…

原子物理 · 物理学 2014-11-18 U. D. Jentschura , G. Soff , P. J. Mohr

We discuss the full electroweak one-loop corrections to the decay of the pseudoscalar Higgs boson A^0 into two sfermions within the Minimal Supersymmetric Standard Model. In particular, we consider the sfermions of the third generation,…

高能物理 - 唯象学 · 物理学 2007-05-23 C. Weber , H. Eberl , W. Majerotto

We compute the \alpha_s^2\beta_0 part of the two-loop QCD corrections to the charged lepton spectrum in b \to c \ell \bar\nu_\ell decays and find them to be about 50\% of the first order corrections at all lepton energies, except those…

高能物理 - 唯象学 · 物理学 2008-11-26 Martin Gremm , Iain Stewart

We compute the dominant two-loop corrections to the Higgs trilinear coupling $\lambda_{hhh}$ and to the Higgs quartic coupling $\lambda_{hhhh}$ in models with extended Higgs sectors, using the effective-potential approximation. We provide…

高能物理 - 唯象学 · 物理学 2020-03-16 Johannes Braathen , Shinya Kanemura

Radiative-recoil corrections to hyperfine splitting in muonium of orders $\alpha(Z\alpha)(m/M)^2E_F$ and $(Z^2\alpha)(Z\alpha)(m/M)^2E_F$ are calculated. These corrections are of the second order in the small electron-muon mass ratio. An…

高能物理 - 唯象学 · 物理学 2009-08-25 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

The recoil, vacuum polarization and electron vertex corrections of first and second orders in the fine structure constant $\alpha$ and the ratio of electron to muon and electron to \alpha-particle masses are calculated in the hyperfine…

高能物理 - 唯象学 · 物理学 2013-05-30 A. A. Krutov , A. P. Martynenko

We present a calculation scheme for the two-loop vacuum polarization correction of order $\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms. The interaction with the external Coulomb field is taken into account to all orders in…

量子物理 · 物理学 2007-05-23 G. Plunien , T. Beier , G. Soff , H. Persson

On the basis of perturbation theory in fine structure constant alpha and the ratio of electron to muon masses we calculate one-loop vacuum polarization, electron vertex corrections, nuclear structure and recoil corrections to hyperfine…

高能物理 - 唯象学 · 物理学 2015-09-01 A. P. Martynenko , A. A. Ulybin

We present a semi-numerical algorithm to calculate one-loop virtual corrections to scattering amplitudes. The divergences of the loop amplitudes are regulated using dimensional regularization. We treat in detail the case of amplitudes with…

高能物理 - 唯象学 · 物理学 2008-11-26 R. K. Ellis , W. T. Giele , G. Zanderighi

The nuclear size effect on the one-loop self energy and vacuum polarization is evaluated for the 1s, 2s, 3s, 2p_{1/2}, and 2p_{3/2} states of hydrogen-like ions. The calculation is performed to all orders in the binding nuclear strength…

原子物理 · 物理学 2015-05-20 Vladimir A. Yerokhin

We provide a formalism to calculate the cubic interaction vertices of the stable string bit model, in which string bits have $s$ spin degrees of freedom but no space to move. With the vertices, we obtain a formula for one-loop self-energy,…

高能物理 - 理论 · 物理学 2018-05-15 Gaoli Chen

Low- and intermediate mass Higgs bosons decay preferably into fermion pairs. The one-loop electroweak corrections to the respective decay rates are dominated by a flavour-independent term of ${\cal O}(G_Fm_t^2)$. We calculate the two-loop…

高能物理 - 唯象学 · 物理学 2009-10-28 Bernd A. Kniehl