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arXiv · 1409.2293

Study of Color Octet Matrix Elements Through $J/\psi$ Production in $e^{+}e^{-}$ Annihilation

Yi-Jie Li·Guang-Zhi Xu·Pan-Pan Zhang·Yu-Jie Zhang·Kui-Yong Liu
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Abstract

In this paper, the color-octet long distance matrix elements are studied though the inclusive $J/\psi$ production in $e^{+}e^{-}$ annihilation within the non-relativistic QCD frame. The calculations are up-to next-to-leading order with the radiative corrections and relativistic corrections at the B-factory energy region and the near-threshold region of $4.6\sim5.6~{\rm GeV}$. A constraint of the long distance matrix elements ($\langle^1S_0^{8}\rangle$, $\langle^3P_0^{8}\rangle$) is obtained. Through our estimation, the P-wave color-octet matrix element ( $\langle0|^3P^8_0|0\rangle$ ) should be the order of $0.005m_c^2~{\rm GeV}^3$ or less. The constraint region is not compatible with the values of the long distance matrix elements fitted at hadron colliders.

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Yi-Jie Li, Guang-Zhi Xu, Pan-Pan Zhang, Yu-Jie Zhang, Kui-Yong Liu. 2014-09-08. Study of Color Octet Matrix Elements Through $J/\psi$ Production in $e^{+}e^{-}$ Annihilation. https://arxiv.org/abs/1409.2293

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