Vector boson production in hadronic collisions

Abstract

We consider the production of ${\gamma }^{\ast },W$ and $Z$ vector bosons in hadron-hadron collisions in perturbative QCD. We present results from a new numerical program which gives a full description of the production of the vector bosons and of their decay products. At small $\qt$ the calculation includes resummation of large logarithms and non-perturbative effects. The resummation is matched with the full $O({\alpha }_S)$ calculation. In addition, the program correctly reproduces the known $O({\alpha }_S)$ cross section when integrated over $\qt$. Besides presenting results for $W$ and $Z$ production at the Tevatron, we also review constraints on the non-perturbative functions using fixed target data on lepton pair production, and make several observations on this topic.

32 pages, latex, 17 postscript figures included

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