Testing Multiple Gluon Dynamics at the Tevatron

Abstract

We propose the measurement of the ratio $R_{CSS}(Q_T^{\min}) \equiv \frac{\sigma (Q_T>Q_T^{\min})}{\sigma _{Total}}$ to study the effects of the multiple soft gluon radiation, predicted by QCD, on the transverse momentum ($Q_T$) 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 $R_{CSS}$.