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Weak interaction contributions to hyperfine splitting and Lamb shift in light electronic and muonic atoms are calculated. We notice that correction to hyperfine splitting turns into zero for deuterium. Weak correction to the Lamb shift in…

Atomic Physics · Physics 2012-07-05 Michael I. Eides

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

In the last twenty years, the theory of hyperfine splitting in muonium developed without any experimental input. Finally, this situation is changing and a new experiment on measuring hyperfine splitting in muonium is now in progress at…

High Energy Physics - Phenomenology · Physics 2019-07-09 Michael I. Eides

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 contribution of the weak interaction to the hyperfine splitting of the ground state of muonium is investigated. The amplitudes of the one- and two-quantum exchange determined by the Z and W bosons are calculated. One-loop corrections in…

High Energy Physics - Phenomenology · Physics 2026-03-05 F. A. Martynenko , A. P. Martynenko , K. A. Seredina

We present first results for the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon a_{\mu} in the framework of Dyson-Schwinger and Bethe-Salpeter equations. We determine the quark loop and…

High Energy Physics - Phenomenology · Physics 2011-06-13 Christian S. Fischer , Tobias Goecke , Richard Williams

We review the current status of theoretical calculations of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment. Different approaches and related issues such as OPE constraints and large breaking of…

High Energy Physics - Phenomenology · Physics 2016-12-21 Joaquim Prades , Eduardo de Rafael , Arkady Vainshtein

We briefly review the current status of the hadronic light-by-light scattering correction to the muon g-2. Then we present our semi-analytical evaluation of the pion-pole contribution, using a description of the pion-photon-photon…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andreas Nyffeler

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

High Energy Physics - Phenomenology · Physics 2015-09-01 A. P. Martynenko , A. A. Ulybin

The hadronic corrections to the muon anomalous magnetic moment a_mu, due to the gauge-invariant set of diagrams with dynamical quark loop light-by-light scattering insertions, are calculated in the framework of the nonlocal chiral quark…

High Energy Physics - Phenomenology · Physics 2015-09-30 A. E. Dorokhov , A. E. Radzhabov , A. S. Zhevlakov

Using the momentum dependence of the dressed quark mass and the well-known formulae for the mass dependent quark-loop contribution to the light-by-light scattering insertions, we compute the hadronic light-by-light contribution to the muon…

High Energy Physics - Phenomenology · Physics 2015-11-18 Pere Masjuan , Marc Vanderhaeghen

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

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

Radiative-recoil corrections to hyperfine splitting in muonium of orders $\alpha(Z\alpha)(m/M)^2E_F$ and $(Z^2\alpha)(Z\alpha)(m/M)^2E_F$ are calculated. These corrections are of the second order in the small electron-muon mass ratio. An…

High Energy Physics - Phenomenology · Physics 2009-08-25 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

This paper contains some new results on the hadronic light-by-light contribution (HLbL) to the muon $g-2$. The first part argues that we can expect large effects from disconnected diagrams in present and future calculations by lattice QCD…

High Energy Physics - Phenomenology · Physics 2016-10-12 Johan Bijnens , Johan Relefors

We present results for the corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium. We compute all the contributing Feynman diagrams in dimensional regularization and a general covariant gauge using a mixture of…

High Energy Physics - Phenomenology · Physics 2015-03-17 Jorge Mondejar , Jan H. Piclum , Andrzej Czarnecki

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, $(g-2$)/2, is computed in the infinite volume QED framework with lattice QCD. We report $a_\mu^\text{HLbL}=12.47(1.15)(0.95) \times 10^{-10}$ where…

High Energy Physics - Lattice · Physics 2024-12-09 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner , Cheng Tu

We consider hard three-loop nonlogarithmic corrections of order $m\alpha^7$ to hyperfine splitting in positronium. All these contributions are generated by the graphs with photon and/or electron loop radiative insertions in the two-photon…

High Energy Physics - Phenomenology · Physics 2014-07-09 Michael I. Eides , Valery A. Shelyuto

We present the QCD and QED corrections to the fermion-loop contributions to light-by-light scattering, gamma gamma to gamma gamma, in the ultrarelativistic limit where the kinematic invariants are much larger than the masses of the charged…

High Energy Physics - Phenomenology · Physics 2010-02-03 Z. Bern , A. De Freitas , L. Dixon , A. Ghinculov , H. L. Wong

Following updates in the compilation of $e^+e^-\rightarrow{\rm hadrons}$ data, this work presents re-evaluations of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the electron ($a_e$), muon ($a_\mu$) and…

High Energy Physics - Phenomenology · Physics 2020-02-05 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner