Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor

Details Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Electron Factor

2009-10-06

arxiv.org/abs/0910.0911v1

J.Exp.Theor.Phys.110:17-25,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 3 figures

Scientific paper

10.1134/S1063776110010036

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the electron factor. The contribution generated by electron polarization insertions is a cubic polynomial in the large logarithm of the electron-muon mass ratio. The leading logarithm cubed and logarithm squared terms are well known for some time. We calculated all single-logarithmic and nonlogarithmic radiative-recoil corrections of order $\alpha^3(m/M)E_F$ generated by the diagrams with electron and muon polarization insertions.

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