A discussion on vacuum polarization correction to the cross-section of $e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-$
| Autor: | Jin, Hong-Dou, Zhou, Li-Peng, Zhang, Bing-Xin, Hu, Hai-Ming |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Chinese Physics C Vol.43,No.1(2019) 013104 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1674-1137/43/1/013104 |
| Popis: | 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 $J/\psi$ and $\psi(3686)$, 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 $e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-$ considering the single and double vacuum polarization effect of the virtual photon propagator. Moreover, it presents some numerical comparisons with the traditional treatments. Comment: 15 pages,14 figures |
| Databáze: | arXiv |
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