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Three-Loop Corrections to Lamb Shift in Muonium and Positronium

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arxiv 2110.13279 v2 pith:J3VZ6IGK submitted 2021-10-25 hep-ph physics.atom-ph

classification hep-phphysics.atom-ph
keywords correctionsmuoniumpositroniumradiativethree-loopcalculatediagramsenergy
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. One more radiative-recoil correction to the Lamb shift in muonium

    physics.atom-ph 2026-07 conditional novelty 7.0 of 10

    The muon-line radiative-recoil correction to the muonium Lamb shift at order α^6(m/M)^2 m is found to be π² times the common prefactor, replacing a previously quoted (139/32−2 ln2) coefficient.

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