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Adjusting a previously developed Grotch-type approach to a perturbative calculation of the electronic vacuum-polarization effects in muonic atoms, we find here the two-loop vacuum polarization relativistic recoil correction of order…

Atomic Physics · Physics 2014-11-04 Savely G. Karshenboim , Evgeny Yu. Korzinin , Vladimir G. Ivanov

The interaction of orbital electrons with the charge and magnetic moment of the nucleus polarizes it, and the detailed description requires a careful treatment of the nuclear vector polarizability. We present a complete and closed form…

Atomic Physics · Physics 2009-11-13 Krzysztof Pachucki

We use recently evaluated radiative and nonperturbative corrections to production of heavy quarks by a vector current to give very precise theoretical calculations of the high energy ($t^{1/2}\geq \sqrt{2}$ GeV) imaginary part of the photon…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Adel , F. J. Ynduráin

We present high-precision predictions for Z boson-pair production via electron-positron collisions by taking into account a full set of one-loop order scattering amplitudes, i.e., electroweak (EW) corrections together with soft and hard QED…

High Energy Physics - Phenomenology · Physics 2023-05-02 Mehmet Demirci , A. Baha Balantekin

We study radiative corrections to third generation scalar fermions into gauge bosons $Z$ and $W^\pm$. We include both SUSY-QCD, QED and full electroweak corrections. It is found that the electroweak corrections can be of the same order as…

High Energy Physics - Phenomenology · Physics 2008-11-26 Abdesslam Arhrib , Rachid Benbrik

Improved values of hyperfine coefficients related to the electronic spin-orbit and electron-nucleus spin-spin tensor interactions in the HD$^+$ molecular ion are obtained through numerical calculation of relativistic corrections at the…

Atomic Physics · Physics 2022-11-09 Mohammad Haidar , Vladimir I. Korobov , Laurent Hilico , Jean-Philippe Karr

The first order QED corrections to the polarized muon decay spectrum are considered. The exact dependence on electron and muon masses is kept. Numerical results are presented.

High Energy Physics - Phenomenology · Physics 2009-11-07 A. B. Arbuzov

We provide a compendium of techniques that can be used to compute $O(N_f\alpha^2)$ corrections to low-energy electroweak processes. Specifically, these are the 2-loop electroweak corrections containing a light fermion loop. It is shown that…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , Paresh Malde , Robin G. Stuart

We study logarithms of the form $\ln(m_q/m_b)$ which arise in the inclusive semileptonic decay of a bottom quark to a quark of mass $m_q$. We use the renormalization group to resum the leading radiative corrections to these terms, of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Christian Bauer , Adam F. Falk , Michael Luke

In calculations of (semi-) inclusive events within perturbative Quantum Chromodynamics, large logarithmic corrections arise from certain kinematic regions of interest which need to be resummed. When resumming soft gluon effects one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carola F. Berger

We calculate the full one-loop electroweak radiative corrections, of ${\cal O}(\alpha^2\alpha_s)$, to the cross section of single $Z$-boson inclusive hadroproduction at finite transverse momentum ($p_T$). This includes the ${\cal…

High Energy Physics - Phenomenology · Physics 2015-12-09 W. Hollik , B. A. Kniehl , E. S. Shcherbakova , O. L. Veretin

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

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…

High Energy Physics - Phenomenology · Physics 2011-01-13 L. Avdeev , J. Fleischer , S. Mikhailov , O. Tarasov

Analytical calculation is presented of the QCD radiative corrections to the rate of the process $b\to c\tau\bar\nu_\tau$ and to the $\tau$ lepton longitudinal polarization in $\tau\bar\nu_\tau$ rest frame. The results are given in the form…

High Energy Physics - Phenomenology · Physics 2011-01-25 Andrzej Czarnecki , Marek Jezabek , Johann H. Kuhn

Using the known resummation of virtual corrections together with knowledge of the leading-log structure of real radiation in a parton shower, we derive analytic expressions for the resummed real radiation after they have been integrated…

High Energy Physics - Phenomenology · Physics 2017-02-28 Christian W Bauer , Nicolas Ferland

We compute the contribution of three-loop mixed QCD-electroweak corrections ($\alpha_S^2\alpha^2$) to the $gg \to H$ scattering amplitude. We employ the method of differential equations to compute the relevant integrals and express them in…

High Energy Physics - Phenomenology · Physics 2018-05-10 Marco Bonetti , Kirill Melnikov , Lorenzo Tancredi

We investigate the effect of high order radiative corrections in unpolarized electron proton elastic scattering and compare with the calculations at lowest order, which are usually applied to experimental data. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-06-17 E. A. Kuraev , A. I. Ahmadov , Yu. M. Bystritskiy , E. Tomasi-Gustafsson

We report on the analytic calculation of the second-order QCD corrections to semi-inclusive hadron production in electron-positron annihilation. The calculation of the single-particle inclusive cross-section in time-like kinematics is…

High Energy Physics - Phenomenology · Physics 2014-12-22 Alexander Mitov , Sven-Olaf Moch

This research investigates using a mixed-precision iterative refinement method using posit numbers instead of the standard IEEE floating-point format. The method is applied to solve a general linear system represented by the equation $Ax =…

Numerical Analysis · Mathematics 2024-08-28 James Quinlan , E. Theodore L. Omtzigt

Two computer codes relevant for the description of deep inelastic scattering off polarized targets are discussed. The code ${\mu}$ela deals with radiative corrections to elastic $\mu e$ scattering, one method applied for muon beam…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Bardin , J. Blümlein , P. Christova , L. Kalinovskaya
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