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arXiv · 1805.03803

A discussion on vacuum polarization correction to the cross-section of $e^+e^-\toγ^\ast/ψ\toμ^+μ^-$

Hong-Dou Jin·Li-Peng Zhou·Bing-Xin Zhang·Hai-Ming Hu
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Abstract

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 $e^+e^-\toγ^\ast/ψ\toμ^+μ^-$ considering the single and double vacuum polarization effect of the virtual photon propagator. Moreover, it presents some numerical comparisons with the traditional treatments.

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Hong-Dou Jin, Li-Peng Zhou, Bing-Xin Zhang, Hai-Ming Hu. 2018-12-16. A discussion on vacuum polarization correction to the cross-section of $e^+e^-\toγ^\ast/ψ\toμ^+μ^-$. https://doi.org/10.1088/1674-1137%2F43%2F1%2F013104

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