Hadronic vacuum polarization contribution to the muonium hyperfine splitting

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Hadronic Vacuum Polarization Contribution to the Muonium Hyperfine Splitting

We discuss hadronic effects in the muonium hyperfine structure and derive an expression for the hadronic contribution to the hfs interval in form of the onedimensional integral of the cross section of e+e− annihilation into hadrons. Higherorder hadronic contributions are also considered.

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The contribution of hadronic vacuum polarization to the hyperfine splitting of the muonic hydrogen ground state is calculated with the account of experimental data on the cross section of e+e− → annihilation into hadrons and the dipole parameterization of electromagnetic proton form factors.

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We consider an impact of hadronic light-by-light scattering on the muonium hyperfine structure. A shift of the hyperfine interval ∆ν(Mu)HLBL is calculated with the light-by-light scattering approximated by exchange of pseudoscalar and pseudovector mesons. Constraints from the operator product expansion in QCD are used to fix parameters of the model similar to the one used earlier for the hadron...

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Muonium hyperfine structure and hadronic effects

A new result for the hadronic vacuum polarization correction to the muonium hyperfine splitting (HFS) is presented: ∆ν(had – vp) = (0.233 ± 0.003) kHz. Compared with previous calculations, the accuracy is improved by using the latest data on e+e− → hadrons. The status of the QED prediction for HFS is discussed.

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ژورنال

عنوان ژورنال: Physics Letters B

سال: 2001

ISSN: 0370-2693

DOI: 10.1016/s0370-2693(01)00994-7