Factorization theorem for Drell-Yan at low q(T) and transverse-momentum distributions on-the-light-cone

Echevarria, Miguel G. and Idilbi, Ahmad and Scimemi, Ignazio (2012) Factorization theorem for Drell-Yan at low q(T) and transverse-momentum distributions on-the-light-cone. JOURNAL OF HIGH ENERGY PHYSICS (7): 002. ISSN 1029-8479,

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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 as 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 as. The factorization theorem is validated to first order in as and also the gauge invariance between Feynman and light-cone gauges.

Item Type: Article
Uncontrolled Keywords: COLLINEAR EFFECTIVE THEORY; EFFECTIVE-FIELD THEORY; QCD FACTORIZATION; RESUMMATION; GAUGE; JETS; DIS; Jets; Hadronic Colliders; Parton Model; QCD
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 11 May 2020 10:15
Last Modified: 11 May 2020 10:15
URI: https://pred.uni-regensburg.de/id/eprint/18470

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