Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-21
Physics
High Energy Physics
High Energy Physics - Phenomenology
44 pages. Submitted to JHEP. This paper was completely revised. The discussion of the factorization theorem is improved by per
Scientific paper
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 and of mixed divergences, 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 is 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 non-perturbative hadronic matrix elements is established. The factorization theorem is validated to first order in \alpha_s and also the gauge invariance between Feynman and light-cone gauges.
Garcia-Echevarria Miguel
Idilbi Ahmad
Scimemi Ignazio
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