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We study radiative corrections to chargino production at linear colliders with polarised electron beams. We calculate the one-loop corrected cross-sections for polarised electon beams due to three families of quarks and squarks, working in…

High Energy Physics - Phenomenology · Physics 2016-08-15 Marco A. Díaz , Stephen F. King , Douglas A. Ross

In this paper, calculated energies of the lowest bound state of Coulomb three-body systems containing an electron ($e^-$), a negatively charged muon ($\mu^-$) and a nucleus ($N^{Z+}$) of charge number Z are reported. The 3-body relative…

Atomic Physics · Physics 2015-10-26 Md. Abdul Khan

The unknown constants in Chiral Perturbation Theory needed for an all orders analysis of the polarizabilities and electromagnetic corrections to the masses of the pseudo-Goldstone bosons are estimated at leading order in $1/N_c$. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 Johan Bijnens , Joaquim Prades

We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin…

High Energy Physics - Lattice · Physics 2017-10-25 P. Boyle , V. Gülpers , J. Harrison , A. Jüttner , C. Lehner , A. Portelli , C. T. Sachrajda

The two-loop electroweak bosonic correction to the muon lifetime and the M_W-M_Z interdependece is computed using analytical methods of asymptotic expansion. Combined with previous calculations this copmletes the full two-loop correction to…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Onishchenko , O. Veretin

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…

Atomic Physics · Physics 2009-09-29 B. J. Wundt , U. D. Jentschura

Vacuum polarisation (VP) and electron self energy (SE) are implemented and evaluated as quantum electrodynamic (QED) corrections in a (quasi-relativistic) two-component zeroth order regular approximation (ZORA) framework. For VP, the…

Terms contributing to the hyperfine structure of the muonium ground state at the level of few tenths of kHz have been evaluated. The $\alpha^2 (Z\alpha)$ radiative correction has been calculated numerically to the precision of 0.02 kHz.…

High Energy Physics - Phenomenology · Physics 2009-09-25 T. Kinoshita , M. Nio

I provide updates for the theoretical predictions of the muon and electron anomalous magnetic moments, for the shift in the fine structure constant $\alpha(M_Z)$ and for the weak mixing parameter $\sin^2 \Theta_W(M_Z)$. Phenomenological…

High Energy Physics - Phenomenology · Physics 2017-11-17 Fred Jegerlehner

Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\,\sigma$…

Atomic Physics · Physics 2019-01-02 Marcin Kalinowski , Krzysztof Pachucki , Vladimir A. Yerokhin

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

We present calculations of the one-loop vacuum polarization contribution (Uehling potential) for the two-center problem in the NRQED formalism. The cases of hydrogen molecular ions ($Z_1=Z_2=1$) as well as antiprotonic helium ($Z_1=2$,…

Atomic Physics · Physics 2017-02-20 J. -Ph. Karr , L. Hilico , V. I. Korobov

In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on the energy levels of a charged isotropic harmonic oscillator in the presence of a uniform magnetic field in the z-direction. The extension…

Quantum Physics · Physics 2021-04-21 Muhittin Cenk Eser , Mustafa Riza

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

Atomic Physics · Physics 2010-01-14 U. D. Jentschura , V. A. Yerokhin

We present the three-loop QCD+QED mixed corrections to the on-shell quark mass and wave-function renormalization constants through orders $\mathcal{O}(\alpha_s^m\alpha^n)$ with $m+n=3$. We further derive the three-loop relation between the…

High Energy Physics - Phenomenology · Physics 2026-02-24 Long Chen , Hong-Yang Han , Zhe Li , Marco Niggetiedt

We present a precise calculation of the Lamb shift $(2P_{1/2}-2S_{1/2})$ in muonic ions $(\mu ^6_3Li)^{2+},~(\mu ^7_3Li)^{2+}$, $(\mu ^9_4Be)^{3+},~(\mu ^{10}_4Be)^{3+}$, $(\mu ^{10}_5B)^{4+},~(\mu ^{11}_5B)^{4+}$. The contributions of…

Atomic Physics · Physics 2016-12-21 A. A. Krutov , A. P. Martynenko , F. A. Martynenko , O. S. Sukhorukova

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order $\alpha(Z \alpha)^5$ to the Lamb shift in muonic hydrogen and helium. To construct the interaction potential of…

High Energy Physics - Phenomenology · Physics 2017-11-03 R. N. Faustov , A. P. Martynenko , F. A. Martynenko , V. V. Sorokin

The finite operators are derived for the recoil $m\alpha^6(m/M)$ order relativistic corrections (to spin-averaged energy levels) in hydrogen-like atoms and ions in the two- and three-body formalism beyond the adiabatic approximation.…

Atomic Physics · Physics 2025-08-12 Vladimir I Korobov

We have calculated the radiative corrections to the Dalitz plot of baryon semileptonic decays with angular correlation between polarized emitted baryons and charged leptons. This work covers both charged and neutral decaying baryons and is…

High Energy Physics - Phenomenology · Physics 2009-01-09 M. Neri , J. J. Torres , Ruben Flores-Mendieta , A. Martinez , A. Garcia

In contrast to other atomic systems, in true muonium ($\mu^+\mu^-$) the leading-order $Z$ boson corrections to the hyperfine splitting are shown to be experimentally accessible in the near future. This contribution ($-109$ MHz) constitutes…

High Energy Physics - Phenomenology · Physics 2015-04-16 Henry Lamm
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