Soft Gluon Resummation in Transverse Momentum Space for Electroweak Boson Production at Hadron Colliders

The distribution of W and Z bosons produced with small transverse momentum (pt) at hadron colliders receives important contributions from large logarithms arising from soft gluon emission. Although conventionally the all-orders resummation of these `Sudakov' logarithms is performed in impact parameter (Fourier transform) space, pt-space resummation is also possible, and offers certain advantages.We present a detailed phenomenological analysis of W and Z production at small pt at the Tevatron $p \bar p$ collider, using pt-space resummation. A good description of the CDF and D0 data can be obtained provided a significant non-perturbative contribution is included. We also present predictions for the LHC.