Yields and polarizations of prompt $\jpsi$ and $\psits$ production in hadronic collisions

H. S. Shao; H. Han; Y. Q. Ma; C. Meng; Y. J. Zhang; K. T. Chao

Paper

Yields and polarizations of prompt $\jpsi$ and $\psits$ production in hadronic collisions

Abstract

We give predictions of

and

yields and polarizations in prompt production at hadron colliders based on non-relativistic QCD factorization formula. We calculate short-distance coefficients of all important color-octet intermediate channels as well as color-singlet channels up to

, i.e. next-to-leading order in

. For prompt

production, we also take into account feeddown contributions from

(J=0,1,2) and

decays. Color-singlet long-distance matrix elements (LDMEs) are estimated by using potential model, and color-octet LDMEs are extracted by fitting the Tevatron yield data only. The predictions are satisfactory for both yields and polarizations of prompt

and prompt

production at the Tevatron and the LHC. In particular, we find our predictions for polarizations of prompt

production have only a little difference from our previous predictions for polarizations of direct

production.