Unpolarized transverse momentum dependent parton distribution and fragmentation functions at next-to-next-to-leading order

M. Garcia, Ignazio Scimemi*, Alexey Vladimirov

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering, etc. We provide a comprehensive study of unpolarized TMDs at next-to-next-to-leading order, which includes an explicit calculation of these TMDs and an extraction of their matching coefficients onto their integrated analogues, for all flavor combinations. The obtained matching coefficients are important for any kind of phenomenology involving TMDs. In the present study each individual TMD is calculated without any reference to a specific process. We recover the known results for parton distribution functions and provide new results for the fragmentation functions. The results for the gluon transverse momentum dependent fragmentation functions are presented for the first time at one and two loops. We also discuss the structure of singularities of TMD operators and TMD matrix elements, crossing relations between TMD parton distribution functions and TMD fragmentation functions, and renormalization group equations. In addition, we consider the behavior of the matching coefficients at threshold and make a conjecture on their structure to all orders in perturbation theory.

Original languageEnglish
Article number4
JournalJournal of High Energy Physics
Volume2016
Issue number9
DOIs
Publication statusPublished - 1 Sep 2016

Keywords

  • Effective field theories
  • Perturbative QCD
  • Renormalization Group
  • Resummation

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