Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-02-21
Phys.Rev.D83:111503,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
Version published in PRD (Rapid Communication); Title changed as suggested by journal editor; in Fig.5 predictions and data at
Scientific paper
10.1103/PhysRevD.83.111503
To clarify the outstanding problem in charmonium production that existing theories cannot explain the observed cross sections of $\chi_{cJ}$ (J=0,1,2) and ratio $R_{\chi_c}=\sigma_{\chi_{c2}}/\sigma_{\chi_{c1}}\approx 0.75$ (in contrast to the spin counting value 5/3) at the Tevatron, we study the complete next-to-leading order radiative corrections in nonrelativistic QCD, and find next-to-leading order contributions of $^3P_J^{[1]}$ are more important than leading order at high $p_T$, and $^3P_1^{[1]}$ decreases slower than $^3P_2^{[1]}$, implying a natural explanation for the $R_{\chi_c}$ puzzle. By fitting $R_{\chi_c}$, the predicted cross sections of $\chi_{cJ}$ are found to agree with data. The result indicates color-octet contribution is crucially needed, thus providing a unique test for heavy quarkonium production mechanisms. Feed-down contributions of $\chi_{cJ}$ to prompt $J/\psi$ production are estimated to be substantial, about $30-40%$ at $p_T=20$ GeV. Production of $\chi_{cJ}$ (J=0,1,2) at the LHC is also predicted.
Chao Kuang-Ta
Ma Yan-Qing
Wang Kai
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