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

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