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arXiv · 1111.4996

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

Miguel G. Echevarria·Ahmad Idilbi·Ignazio Scimemi
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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 α_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 α_s. The factorization theorem is validated to first order in α_s and also the gauge invariance between Feynman and light-cone gauges.

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Miguel G. Echevarria, Ahmad Idilbi, Ignazio Scimemi. 2012-07-03. Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone. https://doi.org/10.1007/jhep07(2012)002

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