Abstract
We present the first complete study of ϒ and prompt J/ψ production from single-parton scattering, including the complete O(α_{S}^{6}) color-singlet contribution, the O(α_{S}^{2}α^{2}) electroweak contribution, and the complete nonrelativistic S-wave and P-wave color-octet contribution as well as the feeddown contribution. Our study was motivated by the recent evidence reported by the D0 Collaboration of prompt J/ψ and ϒ simultaneous production at the Tevatron. With our complete evaluation, we are able to refine the determination of the double-parton scattering contribution made by the D0 Collaboration. We find that the effective cross section characterizing the importance of double-parton scatterings is σ_{eff}≤8.2 mb at 68%confidence level from the D0 measurement.
Highlights
We present the first complete study of Υ and prompt J=ψ production from single-parton scattering, including the complete Oðα6SÞ color-singlet contribution, the Oðα2Sα2Þ electroweak contribution, and the complete nonrelativistic S-wave and P-wave color-octet contribution as well as the feeddown contribution
Our study was motivated by the recent evidence reported by the D0 Collaboration of prompt J=ψ and Υ simultaneous production at the Tevatron
We are able to refine the determination of the double-parton scattering contribution made by the D0 Collaboration
Summary
LI and EW CO Oðα4SÞ contribution probability interpretation at leading order.), and σðab →. If one considers that α ∼ α2S, Oðα2Sα2Þ contributions are on the same order as Oðα6SÞ CS contributions and should be taken into account in our calculations. To fully take into account the feeddown contributions, multiple transitions, in particular, for the bottomonium, need to be considered The estimation of DPS via the pocket formula Eq (1) requires the knowledge of the single quarkonium production cross sections. The SPS cross sections for direct ψð1S; 2SÞ þ Υð1S; 2S; 3SÞ production in the D0 fiducial region are presented, where we detailed the contributions from five different production mechanisms. 2.34þ−6263.34%% Æ 4.4% 1.17þ−6263.34%% Æ 4.4% 0.894þ−6263.34%% Æ 4.4% 36.8þ−7206.42%% Æ 4.7% 18.4þ−7206.42%% Æ 4.7% 14.0þ−7206.42%% Æ 4.7% 10.4þ−4765..44%% Æ 4.6% 5.18þ−4765..44%% Æ 4.6% 3.96þ−4765..44%% Æ 4.6% −10.9þ−6126.20%% Æ 4.8% −5.43þ−6126.20%% Æ 4.8% −4.15þ−6126.20%% Æ 4.8% 174þ−5163.88%% Æ 4.4% 57.6þ−5173.91%% Æ 4.4% 84.1þ−5163.87%% Æ 4.4%
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