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

High Energy Physics - Phenomenology · Physics 2008-11-26 A. A. Krutov , A. P. Martynenko

We investigate the radiative QED corrections to the lepton ($L=e,~\mu$ and $\tau$) anomalous magnetic moment arising from vacuum polarization diagrams by four closed lepton loops. The method is based on the consecutive application of…

High Energy Physics - Phenomenology · Physics 2024-06-12 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari

We review the physics of polarization observables in high energy reactions in general and discuss the status of \NLO one--loop corrections to these observables in specific. Many high order radiative corrections exists for rates but not many…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. G. Körner , M. C. Mauser

On the basis of quasipotential approach in quantum electrodynamics we calculate vacuum polarization and quadrupole corrections in first and second orders of perturbation theory in hyperfine structure of P-states in muonic deuterium. All…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. P. Martynenko , V. V. Sorokin

Recently, the next-to-next-to-leading order (NNLO) electroweak corrections with fermion loops to the Higgsstrahling process were computed. Here we present numerical results for polarized electron/positron beams, as well as for two input…

High Energy Physics - Phenomenology · Physics 2023-05-31 Ayres Freitas , Qian Song , Keping Xie

The rigorous QED evaluation of the one- and two-photon exchange corrections to the ground-state hyperfine splitting in Li-like ions is presented for the wide range of nuclear charge number $Z= 7 - 82$. The calculations are carried out in…

Atomic Physics · Physics 2020-04-21 V. P. Kosheleva , A. V. Volotka , D. A. Glazov , S. Fritzsche

The Lamb shift in muonic hydrogen was measured some time ago to a high accuracy. The theoretical prediction of this value is very sensitive to the proton-finite-size effects. The proton radius extracted from muonic hydrogen is in…

High Energy Physics - Phenomenology · Physics 2015-04-16 Savely G. Karshenboim , Evgeny Yu. Korzinin , Vladimir G. Ivanov , Valery A. Shelyuto

The explicit form of the sixth order radiative corrections to the lepton $L$ ($L=e, ~\mu $ and $\tau$) anomalous magnetic moment from QED Feynman diagrams with insertion of the fourth-order polarization operators consisting of either two…

High Energy Physics - Phenomenology · Physics 2025-08-08 L. P. Kaptari , V. I. Lashkevich , O. P. Solovtsova

Analytical expressions for the tenth order electromagnetic corrections to the lepton ($L=e, ~\mu $ and $\tau$) anomaly $a_L$ are derived explicitly for a class of Feynman diagrams with insertions of the vacuum polarization operator…

High Energy Physics - Phenomenology · Physics 2024-06-25 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari

The uncertainty in the contribution to the Lamb shift in muonic hydrogen, $\Delta E^{subt}$ arising from proton polarizability effects in the two-photon exchange diagram at large virtual photon momenta is shown large enough to account for…

Nuclear Theory · Physics 2015-06-11 Gerald A. Miller

A comprehensive theory of the Lamb shift in light muonic atoms such as $\mu$H, $\mu$D, $\mu^3$He$^+$, and $\mu^4$He$^+$ is presented, with all quantum electrodynamic corrections included at the precision level constrained by the uncertainty…

Atomic Physics · Physics 2024-02-22 K. Pachucki , V. Lensky , F. Hagelstein , S. S. Li Muli , S. Bacca , R. Pohl

We compute corrections of order $\alpha_s^3$ to the decay $b \to c \ell \bar\nu$ taking into account massive charm quarks. In the on-shell scheme large three-loop corrections are found. However, in the kinetic scheme the three-loop…

High Energy Physics - Phenomenology · Physics 2021-07-16 Matteo Fael , Kay Schönwald , Matthias Steinhauser

The calculation of the $O(N_f\alpha^2)$ corrections to muon decay is described. These are the 2-loop diagrams containing a massless fermion loop and they form an important gauge-invariant subclass. It is shown that all such diagrams can be…

High Energy Physics - Phenomenology · Physics 2011-03-17 Robin G. Stuart

The screened QED corrections of the first orders in \alpha and 1/Z to the g factor and the hyperfine splitting of lithiumlike ions are evaluated within ab initio quantum electrodynamical approach. The complete gauge-invariant set of the…

Atomic Physics · Physics 2014-11-18 D. A. Glazov , A. V. Volotka , V. M. Shabaev , I. I. Tupitsyn , G. Plunien

We investigate two-loop higher-order binding corrections to the fine structure, which contribute to the spin-dependent part of the Lamb shift. Our calculation focuses on the so-called ``two-loop self-energy'' involving two virtual closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ulrich D. Jentschura , Krzysztof Pachucki

A specific combination of $s$-state Lamb shift $\Delta E_L(1s_{1/2}) - n^3 \Delta E_L(ns_{1/2})$ is considered. Its value is calculated both in the hydrogen and deuterium atoms for $n$ up to 12. The result inludes all correction which can…

High Energy Physics - Phenomenology · Physics 2009-10-28 Savely G. Karshenboim

We reevaluate the Zemach, recoil and polarizability corrections to the hyperfine splitting in muonic hydrogen expressing them through the low-energy proton structure constants and obtain the precise values of the Zemach radius and…

High Energy Physics - Phenomenology · Physics 2018-01-17 O. Tomalak

Analytical radiative corrections of order (\alpha/\pi)(q/M_1) are calculated for the four-body region of the Dalitz plot of baryon semileptonic decays when the s_1 \cdot p_2 correlation is present. Once the final result is available, it is…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. J. Torres , M. Neri , A. Martinez , A. Garcia , Ruben Flores-Mendieta

Perturbative and nonperturbative QCD corrections to semileptonic B decay rates are calculated and given in analytical and numerical forms. We present the analytic expression for the double distribution in hadronic mass and electron energy…

High Energy Physics - Phenomenology · Physics 2009-09-25 P. Urban

The linear polarization of the characteristic photon emission from few-electron ions is studied for its sensitivity with regard to the nuclear spin and magnetic moment of the ions. Special attention is paid, in particular, to the…

Nuclear Theory · Physics 2013-06-04 Andrey Surzhykov , Yuri A. Litvinov , Thomas Stöhlker , Stephan Fritzsche