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QCD Factorized Drell-Yan Cross Section at Large Transverse Momentum

Abstract

We derive a new factorization formula in perturbative quantum chromodynamics for the Drell-Yan massive lepton-pair cross section as a function of the transverse momentum of the pair. When is much larger than the pair's invariant mass , this factorization formula systematically resums the logarithmic contributions of the type to all orders in the strong coupling . When , our formula yields the same Drell-Yan cross section as conventional fixed order QCD perturbation theory. We show that resummation is important when the collision energy is large enough and , and we argue that perturbative expansions are more stable and reliable in terms of the modified factorization formula.