Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting Generated by One-Loop Fermion Factors

Details Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting Generated by One-Loop Fermion Factors Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting Generated by One-Loop Fermion Factors

2004-07-24

arxiv.org/abs/hep-ph/0407288v1

Phys.Rev. D70 (2004) 073005

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures, 1 table

Scientific paper

10.1103/PhysRevD.70.073005

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by diagrams with one-loop radiative photon insertions both in the electron and muon lines. An analytic result for these nonlogarithmic corrections of order $\alpha(Z^2\alpha)(Z\alpha)(m/M)\widetilde E_F$ is obtained. This result constitutes a next step in the implementation of the program of reduction of the theoretical uncertainty of hyperfine splitting below 10 Hz.

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