The Nonperturbative Regime in QCD Resummation for Gauge Boson Production at Hadron Colliders

We study the nonperturbative functions in the Collins–Soper–Sterman resummation formalism by examing Drell–Yan data in both fixed target and collider experiments and then predict the transverse momentum distributions of the $W^{\pm }$ and $Z^0$ bosons at the Tevatron. Our results differ from that in the literature and agree better with published CDF data. Using statistical arguments, we find a $1$fb${}^{-1}$ luminosity at the Fermilab Tevatron should be able to provide useful constraints on the nonperturbative functions.