New Polarization Operator Contributions to Lamb Shift and Hyperfine Splitting

Abstract

We calculate radiative corrections to the Lamb shift of order ${\alpha }^3(Z\alpha {)}^{5}m$ and radiative corrections to hyperfine splitting of order ${\alpha }^3(Z\alpha )E_F$ generated by the diagrams with insertions of radiative photons and electron polarization loops in the graphs with two external photons. We also obtain the radiative-recoil correction to hyperfine splitting in muonium generated by the diagrams with the $\tau$ polarization loop.

21 pages, 14 figs

References in corpus (2)

• Hadronic effects in leptonic systems: muonium hyperfine structure and anomalous magnetic moment of muon
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium

Cited by in corpus (6)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
• The Lamb shift of the $1s$ state in hydrogen: two-loop and three-loop contributions
• Three-Loop Radiative Corrections to Lamb Shift and Hyperfine Splitting
• Three-Loop Reducible Radiative Photon Contributions to Lamb Shift and Hyperfine Splitting
• Three-Loop Contribution to Hyperfine Splitting in Muonium: Polarization Corrections to Light by Light Scattering Blob