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Paper

Role of the nonperturbative input in QCD resummed Drell-Yan $Q_T$-distributions

Abstract

We analyze the role of the nonperturbative input in the Collins, Soper, and Sterman (CSS)'s -space QCD resummation formalism for Drell-Yan transverse momentum () distributions, and investigate the predictive power of the CSS formalism. We find that the predictive power of the CSS formalism has a strong dependence on the collision energy in addition to its well-known dependence, and the dependence improves the predictive power at collider energies. We show that a reliable extrapolation from perturbatively resummed -space distributions to the nonperturbative large region is necessary to ensure the correct distributions. By adding power corrections to the renormalization group equations in the CSS formalism, we derive a new extrapolation formalism. We demonstrate that at collider energies, the CSS resummation formalism plus our extrapolation has an excellent predictive power for and production at all transverse momenta . We also show that the -space resummed distributions provide a good description of Drell-Yan data at fixed target energies.