Factorization theorem for Drell-Yan at low qT and transverse-momentum distributions on-the-light-cone

By M. G. Echevarria, Ahmad Idilbi, I. Scimemi. 2011

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A bstractWe derive a factorization theorem for Drell-Yan process at low qT 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 αs 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 αs. The factorization theorem is validated to first order in αs and also the gauge invariance between Feynman and light-cone gauges.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/68c8c6d4832bea5ffc9fa995409e4d5dbae636f1

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Citations in the corpus

Introduction to Soft-Collinear Effective Theory (2014, unknown): “The simplest example is again the Drell-Yan process at small vector boson transverse momentum [11, 50, 212, 213], which was discussed in Section 7.”
Analysis of vector boson production within TMD factorization (2017, methodology): “The quark unpolarized TMDPDFs are given by the matrix element [1,2,11]”
New observables in inclusive production of quarkonia (2019, methodology): “As we noted in the previous section, some of these specific reactions [22, 210, 162, 23] have recently been studied in the framework of the Transverse-Momentum-Dependent (TMD) factorisation [30, 31, 32, 33] since in general quarkonia are thought [159, 150, 143, 211, 212, 149, 213, 214, 40, 215, 216,”
A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory (2012, background): “ation of the rapidity logarithms. As it stands no choice of will minimize all logarithms in their TMDPDF if the light-cone momentum is large. Finally, it is worth noting that the approaches taken in [75] assumes the equivalence of soft-bin subtractions and the inverse soft function. While this is tr”
Soft and collinear factorization and transverse momentum dependent parton distribution functions (2012, methodology): “and the superscript T stand for soft and transverse Wilson lines, respectively. The appropriate deﬁnitions of the collinear, soft and transverse Wilson lines for DY and DIS kinematics can be found in [6]. In [6] the ∆-regulator was implemented. We write the poles of the fermion propagators with a re”