Three-Loop Contribution to Hyperfine Splitting in Muonium: Polarization Corrections to Light by Light Scattering Blob

Abstract

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 turns out to be -2.63 Hz. The total contribution of all known corrections of order ${\alpha }^3(Z\alpha )E_F$ is equal to -4.28 Hz.

12 pages, 3 figures

References in corpus (6)

• Theory of Light Hydrogenlike Atoms
• Radiative Corrections to the Muonium Hyperfine Structure. I. The ${\alpha }^2(Z\alpha )$ Correction
• Improved Theory of the Muonium Hyperfine Structure
• Three-Loop Radiative Corrections to Lamb Shift and Hyperfine Splitting
• Three-Loop Reducible Radiative Photon Contributions to Lamb Shift and Hyperfine Splitting
• New Polarization Operator Contributions to Lamb Shift and Hyperfine Splitting

Cited by in corpus (3)

• Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium
• Proton-neutron pairing correlations in the self-conjugate nucleus ${}^{42}$Sc
• Hyperfine structure of excited state of muonic helium atom