Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-07-30
Phys.Rev. D65 (2002) 034006
Physics
High Energy Physics
High Energy Physics - Phenomenology
36 pages, latex, including 16 figures
Scientific paper
10.1103/PhysRevD.65.034006
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 $Q_T$ of the pair. When $Q_T$ is much larger than the pair's invariant mass $Q$, this factorization formula systematically resums the logarithmic contributions of the type $\alpha_s^m \ln^m(Q_T^2/Q^2)$ to all orders in the strong coupling $\alpha_s$. When $Q_T\sim Q$, 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 $\sqrt{S}$ is large enough and $Q_T\gg Q$, and we argue that perturbative expansions are more stable and reliable in terms of the modified factorization formula.
Berger Edmond L.
Qiu Jianwei
Zhang Xiaofei
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