Transverse momentum distribution of Upsilon production in hadronic collisions

Abstract

We calculate the transverse momentum p_T distribution for production of the Upsilon states in hadronic reactions. For small $p_T (\leq M_\Upsilon)$, we resum to all orders in the strong coupling alpha_s the process-independent large logarithmic contributions that arise from initial-state gluon showers. We demonstrate that the p_T distribution at low p_T is dominated by the region of small impact parameter b and that it may be computed reliably in perturbation theory. We express the cross section at large p_T by the alpha_s^3 lowest-order non-vanishing perturbative contribution. Our results are consistent with data from the Fermilab Tevatron collider.Comment: 24 pages latex; 9 postscript files of figures. Presentation improved; new figure and references added; conclusions unaltered. Version to be published in Physical Review