Radiative recoil corrections to hyperfine splitting: Polarization insertions in the electron factor

M. I. Eides; V. A. Shelyuto

doi:10.1134/S1063776110010036

Radiative recoil corrections to hyperfine splitting: Polarization insertions in the electron factor

M. I. Eides, V. A. Shelyuto

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9 Scopus citations

Abstract

We consider three-loop radiative recoil corrections to hyperfine splitting in muonium due to insertions of the 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 calculate all single-logarithmic and nonlogarithmic radiative recoil corrections of the order α³ (m/M)E_F generated by diagrams with the electron and muon polarization insertions.

Original language	English
Pages (from-to)	17-25
Number of pages	9
Journal	Journal of Experimental and Theoretical Physics
Volume	110
Issue number	1
DOIs	https://doi.org/10.1134/S1063776110010036
State	Published - Jan 2010

Bibliographical note

Funding Information:
16156 and 08 02 13516) and by the DFG (grant nos. GZ 436 RUS 113/769/0 3).

Funding Information:
ACKNOWLEDGMENTS This work was supported by the NSF grant PHY 0757928. V.A.S. was also supported in part by the Rus sian Foundation for Basic Research (grant nos. 06 02

ASJC Scopus subject areas

General Physics and Astronomy

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abstract = "We consider three-loop radiative recoil corrections to hyperfine splitting in muonium due to insertions of the 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 calculate all single-logarithmic and nonlogarithmic radiative recoil corrections of the order α3 (m/M)EF generated by diagrams with the electron and muon polarization insertions.",

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AU - Eides, M. I.

AU - Shelyuto, V. A.

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PY - 2010/1

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N2 - We consider three-loop radiative recoil corrections to hyperfine splitting in muonium due to insertions of the 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 calculate all single-logarithmic and nonlogarithmic radiative recoil corrections of the order α3 (m/M)EF generated by diagrams with the electron and muon polarization insertions.

AB - We consider three-loop radiative recoil corrections to hyperfine splitting in muonium due to insertions of the 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 calculate all single-logarithmic and nonlogarithmic radiative recoil corrections of the order α3 (m/M)EF generated by diagrams with the electron and muon polarization insertions.

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Radiative recoil corrections to hyperfine splitting: Polarization insertions in the electron factor

Abstract

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