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The hadronic corrections to the muon anomalous magnetic moment, due to the full gauge-invariant set of diagrams with dynamical quark loop and intermediate pseudoscalar and scalar states light-by-light scattering insertions, are calculated…

High Energy Physics - Phenomenology · Physics 2015-11-19 A. S. Zhevlakov , A. E. Dorokhov , A. E. Radzhabov

Calculation of higher-order radiative corrections to unpolarized muon decay spectrum is discussed. Results for the orders $\mathcal{O}(\alpha^2 L)$, $\mathcal{O}(\alpha^3 L^3)$ and $\mathcal{O}(\alpha^3 L^2)$ are presented.

High Energy Physics - Phenomenology · Physics 2023-12-06 U. E. Voznaya , A. B. Arbuzov

The one-loop self-energy correction to the hyperfine splitting of the 1s and 2s levels in H-like low-Z atoms is evaluated to all orders in Z\alpha. The results are compared to perturbative calculations. The residual higher-order…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. A. Yerokhin , V. M. Shabaev

The increasing accuracy of current and planned experiments to measure the anomalous magnetic moment of the muon requires more precision and reliability of its theoretical calculation. For this purpose, we calculate the differential cross…

High Energy Physics - Phenomenology · Physics 2023-08-21 V. S. Fadin , R. N. Lee

We calculate full one-loop corrections to the genuine three-body decays of the light chargino \chi_1^\pm to \chi^0_1 l^\pm \nu in the Minimal Supersymmetric Standard Model. We find that the corrections to the decay width can be of the order…

High Energy Physics - Phenomenology · Physics 2007-10-17 Krzysztof Rolbiecki

The latest experimental measurements of the hyperfine splitting $E_{\rm{hfs}}=M_{\Upsilon(1 S)}-M_{\eta_b(1 S)}$ done by the Belle collaboration and the perturbative and lattice QCD predictions show a tension with the current extraction…

High Energy Physics - Phenomenology · Physics 2015-11-17 Nikolai Zerf

We have completed the calculation of pure-recoil corrections of order $(Z \alpha)^6$ to Coulombic bound states of two spin-1/2 fermions without approximation in the particle masses. Our result applies to systems of arbitrary mass ratio such…

High Energy Physics - Phenomenology · Physics 2023-01-25 Gregory S. Adkins , Jonathan Gomprecht , Yanxi Li , Evan Shinn

The appearance of large logarithmic corrections is a well-known phenomenon in the presence of widely separated mass scales. In this work, we point out the existence of large Sudakov-like logarithmic contributions related to external-leg…

High Energy Physics - Phenomenology · Physics 2022-04-05 Henning Bahl , Johannes Braathen , Georg Weiglein

The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The…

High Energy Physics - Lattice · Physics 2015-01-14 Thomas Blum , Saumitra Chowdhury , Masashi Hayakawa , Taku Izubuchi

We calculate the next-to-leading order contribution to the masses of the heavy baryons in the bound state approach for baryons containing a heavy quark. These $1/N_C$ corrections arise when states of good spin and isospin are generated from…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Harada , A. Qamar , F. Sannino , J. Schechter , H. Weigel

The recent experimental observation of Light-by-Light (LbL) scattering at the Large Hadron Collider has revived interest in this fundamental process, and especially of the accurate prediction of its cross-section, which we present here for…

High Energy Physics - Phenomenology · Physics 2024-03-12 Ajjath A H , Ekta Chaubey , Mathijs Fraaije , Valentin Hirschi , Hua-Sheng Shao

This is the second of a series of papers on the radiative corrections of order $\alpha^2 (Z\alpha)$, $\alpha (Z\alpha )^2$, and various logarithmic terms of order $\alpha^4$, to the hyperfine structure of the muonium ground state. This…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Nio , T. Kinoshita

The measurements of the $\gamma\gamma$ and $b \bar b$ partial decay widths of an intermediate-mass Standard Model Higgs boson are among the most important goals of a future photon linear collider. While in an initially polarized $J_z=0$…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles , W. James Stirling

The correction to the muon anomalous magnetic moment from the pion-pole contribution to the hadronic light-by-light scattering is considered using a description of the pi0 - gamma* - gamma* transition form factor based on the large-Nc and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marc Knecht , Andreas Nyffeler

The complete contribution of diagrams with the light-by-light scattering to the Lamb shift is found for muonic hydrogen, deuterium and helium ion. The results are obtained in the static muon approximation and a part of the paper is devoted…

Atomic Physics · Physics 2014-11-04 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov , V. A. Shelyuto

The one-loop self-energy correction to the hyperfine structure splitting of the 1s and 2s states of hydrogenlike ions is calculated both for the point and finite nucleus. The results of the calculation are combined with other corrections to…

Atomic Physics · Physics 2009-10-30 V. A. Yerokhin , V. M. Shabaev , A. N. Artemyev

Higher-order QED radiative corrections to muon decay spectrum are evaluated within the QED structure function approach in the next-to-leading order logarithmic approximation. New analytical results are given in the…

High Energy Physics - Phenomenology · Physics 2023-12-19 A. B. Arbuzov , U. E. Voznaya

The hyperfine splitting in hydrogenlike $^{209}$Bi, $^{203}$Tl, and $^{205}$Tl is calculated with the nuclear magnetization determined from experimental data on the hyperfine splitting in the corresponding muonic atoms. The single-particle…

Atomic Physics · Physics 2007-05-23 A. A. Elizarov , V. M. Shabaev , N. S. Oreshkina , I. I. Tupitsyn

We present our recent semi-analytical evaluation of the pion-pole contribution to hadronic light-by-light scattering, using a description of the pion-photon-photon form factor based on large-N_C and short-distance properties of QCD.…

High Energy Physics - Phenomenology · Physics 2017-08-23 Andreas Nyffeler

The rigorous calculation of the vacuum-polarization screening corrections to the hyperfine splitting in Li-like bismuth is presented. The two-electron diagrams with electric and magnetic vacuum-polarization loops are evaluated to all orders…

Atomic Physics · Physics 2012-08-06 O. V. Andreev , D. A. Glazov , A. V. Volotka , V. M. Shabaev , G. Plunien