Three-Loop Corrections to Lamb Shift in Muonium and Positronium

Abstract

We calculate hard spin-independent three-loop radiative corrections to energy levels in muonium and positronium which are due to radiative insertions in two-photon exchange diagrams. These corrections could be relevant for the new generation of precise $1S-2S$ and $2S-2P$ measurements in muonium and positronium.

14 pages, 6 figures; v.2: Title and abstract changed, new results included, list of references amended

References in corpus (6)

• Precision Study of Positronium: Testing Bound State QED Theory
• Positronium energy levels at order $m{\alpha }^7$: light-by-light scattering in the two-photon-annihilation channel
• Hard Nonlogarithmic Corrections of Order $m{\alpha }^7$ to Hyperfine Splitting in Positronium
• One More Hard Three-Loop Correction to Parapositronium Energy Levels
• Three-Loop Contributions to Hyperfine Splitting: Muon Loop Light-by-Light Insertion and Other Closed Lepton Loops
• Measurement of Positronium hyperfine splitting with quantum oscillation

Cited by in corpus (3)

• Update of Muonium 1S-2S transition frequency
• Muonium Lamb shift: theory update and experimental prospects
• Three-Loop Corrections to Lamb Shift in Positronium: Electron Factor and Polarization