On the resummation of subleading logarithms in the transverse momentum distribution of vector bosons produced at hadron colliders

The perturbation series for electroweak vector boson production at small tr ansverse momentum is dominated by large double logarithms at each order in perturbation theory. An accurate theoretical prediction therefore requires a resummation of these logarithms. This can be performed either directly in transverse momentum space or in impact parameter (Fourier transform) space . While both approaches resum the same leading double logarithms, the suble ading logarithms are, in general, treated differently. We comment on two re cent approaches to this problem, emphasising the particular subleading loga rithms resummed in each case and the numerical differences in the cross sec tions which result.