Preprint PUBDB-2025-00696

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One-loop matching for leading-twist generalised transverse-momentum-dependent distributions

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2025

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Report No.: DESY-25-024; IPARCOS-UCM-25-004; arXiv:2502.07576

Abstract: We present the one-loop matching coefficients necessary to match all of the leading-twist generalised transverse-momentum-dependent distributions (GTMDs) onto generalised parton distributions (GPDs). Matching functions are extracted by computing the first radiative corrections to partonic bilocal correlators with staple-like Wilson lines, as appropriate for high-energy collisions. These correlators are characterised by a transverse displacement and skewed kinematics of external states. Using the proton helicity basis, they are parametrised in terms of GTMDs, which are subsequently related to leading-twist GPDs. Our results provide new insights into the complex dynamics of GTMDs generated by radiative corrections. In particular, we show that time-reversal even and odd contributions to GTMDs in the so-called ERBL region mix both under matching and evolution. Finally, we present a selection of numerical results and comment on the quantitative behaviour of GTMDs.


Note: 27 pages, 3 figures

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)409651613 - FOR 2926: Next Generation Perturbative QCD for Hadron Structure: Preparing for the Electron-Ion Collider (409651613) (409651613)
  3. DFG project G:(GEPRIS)430915355 - Multi-Parton Wechselwirkungen und Beiträge mit höherem Twist (430915355) (430915355)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2025
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;  ;
One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
Journal of high energy physics 05(5), 183 () [10.1007/JHEP05(2025)183]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2025-02-11, last modified 2025-08-17