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 Publish in OALib Journal ISSN: 2333-9721 APC: Only $99  Views Downloads  Relative Articles Drell-Yan Massive Lepton-Pair's Angular Distributions at Large$Q_T$Predictions for Drell-Yan φ* and Q_T observables at the LHC Nuclear dependence coefficient$α(A,q_T)$for the Drell-Yan and J/$ψ$production Role of the nonperturbative input in QCD resummed Drell-Yan$Q_T$-distributions QCD Factorized Drell-Yan Cross Section at Large Transverse Momentum The Drell-Yan Process and Factorization in Impact Parameter Space Non-perturbative QCD effects in$q_T$spectra of Drell-Yan and$Z$-boson production Transversely Polarized Drell-Yan Process and Soft Gluon Resummation in QCD Nuclear Dependence in Drell-Yan Transverse Momentum Distribution$x_F\$ Dependence of Drell-Yan Transverse Moemtum Broadening More...
Physics  2011

# Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone

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Abstract:

We derive a factorization theorem for Drell-Yan process at low q_T using effective field theory methods. In this theorem all the obtained quantities are gauge invariant and the special role of the soft function--and its subtraction thereof--is emphasized. We define transverse-momentum dependent parton distribution functions (TMDPDFs) which are free from light-cone singularities while all the Wilson lines are defined on-the-light-cone. We show explicitly to first order in \alpha_s that the partonic Feynman PDF can be obtained from the newly defined partonic TMDPDF by integrating over the transverse momentum of the parton inside the hadron. We obtain a resummed expression for the TMDPDF, and hence for the cross section, in impact parameter space. The universality of the newly defined matrix elements is established perturbatively to first order in \alpha_s. The factorization theorem is validated to first order in \alpha_s and also the gauge invariance between Feynman and light-cone gauges.

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