One More Hard Three-Loop Correction to Parapositronium Energy Levels

Abstract

A hard three-loop correction to parapositronium energy levels of order $m{\alpha }^7$ is calculated. This nonlogarithmic contribution is due to the insertions of one-loop photon propagator in the fermion lines in the diagrams with virtual two-photon annihilation. We obtained $\Delta E=0.03297(2)(m{\alpha }^7/{\pi }^3)$ for this energy shift.

arXiv commentVersion to be published in Phys. Rev.D, results unchanged

References in corpus (16)

• Theory of Light Hydrogenlike Atoms
• Order alpha^7 ln(1/alpha) Contribution to Positronium Hyperfine Splitting
• O(alpha^3 ln alpha) corrections to muonium and positronium hyperfine splitting
• New Value of M_mu/M_e from Muonium Hyperfine Splitting
• Hyperfine splitting in positronium to $\mathcal{O}({\alpha }^7{m}_e)$: one-photon annihilation contribution
• Three-photon-annihilation contributions to positronium energies at order $m{\alpha }^7$
• Positronium hyperfine splitting at order $m{\alpha }^7$: light-by-light scattering in the two-photon-exchange channel
• Hard Three-Loop Corrections to Hyperfine Splitting in Positronium and Muonium
• 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
• Light-by-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium
• Positronium energy levels at order $m{\alpha }^7$: Product contributions in the two-photon-annihilation channel
• Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops
• Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Muon Factor
• Light-by-Light Scattering Single-Logarithmic Corrections to Hyperfine Splitting in Muonium
• Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor

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• Fifth Force and Hyperfine Splitting in Bound Systems
• Measurement of the ${\text{1}}^{\text{3}}{\text{S}}_{\text{1}}\to {\text{2}}^{\text{3}}{\text{S}}_{\text{1}}$ interval in positronium using field-ionization of Rydberg states