We propose the measurement of the ratio $R_{\mathrm{CSS}}\left(Q_T^{\min }\right)\equiv \frac{\sigma (Q_T>Q_T^{\min })}{{\sigma }_{\mathrm{total}}}$ to study the effects of multiple soft gluon radiation, predicted by QCD, on the transverse momentum $\left(Q_T\right)$ distribution of the weak gauge bosons $W^{\pm }$ and $Z^0$ produced at the Tevatron. We compare the prediction of the extended Collins-Soper-Sterman resummation formalism with the next-to-leading and next to next-to-leading order calculations. We show that both the rich dynamics of the QCD multiple soft gluon radiation and the non perturbative sector of QCD can be tested by measuring $R_{\mathrm{CSS}}$.

• Received 31 March 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.2398