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

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

2009-09-03

arxiv.org/abs/0909.0558v1

Phys.Rev.D80:053008,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 4 figures

Scientific paper

10.1103/PhysRevD.80.053008

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the muon factor. The contribution produced by electron polarization insertions are enhanced by the large logarithm of the electron-muon mass ratio. We obtained 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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