A discussion on vacuum polarization correction to the cross-section of e+e−→γ/ψ→μ+μ−Supported by National Natural Science Foundation of China (11275211) and (11335008)

Vacuum polarization is a part of the initial-state radiative correction for the cross-section of e+e− annihilation processes. In the energy region in the vicinity of narrow resonances J/ψ and ψ(3686), the vacuum polarization contribution from the resonant component has a significant effect on the li...

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Bibliographic Details
Published in:Chinese physics C 2018-12, Vol.43 (1)
Main Authors: Jin, Hong-Dou, Zhou, Li-Peng, Zhang, Bing-Xin, Hu, Hai-Ming
Format: Article
Language:English
Subjects:
cross-section
electron-positron annihilation
resonance
vacuum polarization
Online Access:Get full text
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Summary:Vacuum polarization is a part of the initial-state radiative correction for the cross-section of e+e− annihilation processes. In the energy region in the vicinity of narrow resonances J/ψ and ψ(3686), the vacuum polarization contribution from the resonant component has a significant effect on the line-shape of the lepton pair production cross-section. This paper discusses some basic concepts and describes an analytical calculation of the cross-section of e+e− →γ*/ψ→μ+μ− considering the single and double vacuum polarization effect of the virtual photon propagator. Moreover, it presents some numerical comparisons with the traditional treatments.
ISSN:1674-1137
DOI:10.1088/1674-1137/43/1/013104