Soft quantum-chromodynamics radiation and the weak-boson transverse momentum

We present an improved algorithm to calculate the transverse-momentum ($Q_{\perp }$) spectrum of $W^{\pm }$ and $Z^0$ bosons produced at the CERN $p\overline{p}$ Collider using the energy-momentum distribution of soft gluons. We find ${〈{Q_{\perp }}^2〉}_W=190\mathrm{}$ ${\mathrm{GeV}}^2$ and ${〈{Q_{\perp }}^2〉}_{Z^0}=219\mathrm{}$ ${\mathrm{GeV}}^2$. Also, the calculated transverse distribution gives ${〈Q_{\perp }〉}_W\simeq 7$ GeV with cuts. Our results are compared with other calculations and with the most recent data from the Collider.