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Three-loop corrections to hyperfine splitting in muonium generated by the gauge invariant sets of diagrams with muon and tauon loop light-by-light scattering blocks are calculated. These results complete calculations of all light-by-light…

High Energy Physics - Phenomenology · Physics 2014-05-07 Michael I. Eides , Valery A. Shelyuto

We calculate three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with the first order electron and muon polarization loop insertions in graphs with two exchanged photons. These corrections are…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with electron and muon vacuum polarizations. We calculate single-logarithmic and nonlogarithmic contributions of order…

High Energy Physics - Phenomenology · Physics 2010-01-26 Michael I. Eides , Valery A. Shelyuto

We consider three-loop corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These diagrams produce both recoil and nonrecoil contributions to hyperfine…

High Energy Physics - Phenomenology · Physics 2014-02-05 Michael I. Eides , Valery A. Shelyuto

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium. These corrections are enhanced by the large logarithm of the electron-muon mass ratio. The leading logarithm cubed and logarithm squared contributions…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by diagrams with one-loop radiative photon insertions both in the electron and muon lines. An analytic result for these nonlogarithmic…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These corrections are enhanced by the large logarithms of…

High Energy Physics - Phenomenology · Physics 2013-05-30 Michael I. Eides , Valery A. Shelyuto

We calculate radiative-recoil corrections of order $\alpha^2(Z\alpha)(m/M)E_F$ to hyperfine splitting in muonium generated by the diagrams with electron and muon polarization loops. These corrections are enhanced by the large logarithm of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

We calculate corrections of order $\alpha^3(Z\alpha)E_F$ to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with polarization insertions in the light by light scattering diagrams. This nonrecoil contribution…

Atomic Physics · Physics 2012-08-16 Michael I. Eides , Valery A. Shelyuto

We consider hard three-loop corrections to hyperfine splitting in muonium and positronium generated by the diagrams with closed electron loops. There are six gauge-invariant sets of such diagrams that generate corrections of order…

High Energy Physics - Phenomenology · Physics 2015-07-22 Michael I. Eides , Valery A. Shelyuto

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the muon factor. The contribution produced by electron polarization insertions are enhanced by the…

High Energy Physics - Phenomenology · Physics 2009-11-06 Michael I. Eides , Valery A. Shelyuto

We consider a set of radiative contributions from one-loop lepton vacuum polarization to the hyperfine splitting of true muonium. Improving previous results, we obtain values for the electron-loop coefficients and extract their leading…

Atomic Physics · Physics 2017-04-19 Yao Ji , Henry Lamm

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the electron factor. The contribution generated by electron polarization insertions is a cubic…

High Energy Physics - Phenomenology · Physics 2011-05-12 Michael I. Eides , Valery A. Shelyuto

We calculate radiative corrections to the Lamb shift of order $\alpha^3(Z\alpha)^5m$ and radiative corrections to hyperfine splitting of order $\alpha^3(Z\alpha)E_F$ generated by the diagrams with insertions of radiative photons and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Valery A. Shelyuto

The numerically dominant QED contributions to the anomalous magnetic moment of the muon stem from Feynman diagrams with internal electron loops. We consider such corrections and present a calculation of the four-loop light-by-light-type…

High Energy Physics - Phenomenology · Physics 2015-11-04 Alexander Kurz , Tao Liu , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

Two-loop electroweak corrections to the electron, muon, and tau lepton anomalous magnetic moments have been computed recently. Effects of hadronic contributions to the photon propagator in two-loop QED corrections have also been reanalysed.…

High Energy Physics - Phenomenology · Physics 2011-04-15 Andrzej Czarnecki , Bernd Krause

The two-photon-annihilation contribution to the true muonium hyperfine splitting arising from $e$ and $\tau$ loops is obtained analytically at order $m_\mu\alpha^6$. The contribution to the hyperfine splitting is $-2.031092873…

Atomic Physics · Physics 2016-09-09 Yao Ji , Henry Lamm

Corrections of order $\alpha^3(Z\alpha)^5m$ to the Lamb shift and corrections of order $\alpha^3(Z\alpha)E_F$ to hyperfine splitting generated by the insertions of the three-loop one-particle reducible diagrams with radiative photons in the…

Atomic Physics · Physics 2009-11-10 Michael I. Eides , Valery A. Shelyuto

We present results for the QED contributions to the anomalous magnetic moment of the muon containing closed electron loops. The main focus is on perturbative corrections at four-loop order where the external photon couples to the external…

High Energy Physics - Phenomenology · Physics 2016-04-06 Alexander Kurz , Tao Liu , Peter Marquard , Alexander Smirnov , Vladimir Smirnov , Matthias Steinhauser

This paper reports the result of our evaluation of the tenth-order QED correction to the lepton g-2 from Feynman diagrams which have sixth-order light-by-light-scattering subdiagrams, none of whose vertices couple to the external magnetic…

High Energy Physics - Phenomenology · Physics 2010-05-28 T. Aoyama , K. Asano , M. Hayakawa , T. Kinoshita , M. Nio , N. Watanabe
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