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

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 b...

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Main Authors: Valerio Bertone, Miguel G. Echevarria, Oscar del Rio, Simone Rodini
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP05(2025)183
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author Valerio Bertone
Miguel G. Echevarria
Oscar del Rio
Simone Rodini
author_facet Valerio Bertone
Miguel G. Echevarria
Oscar del Rio
Simone Rodini
author_sort Valerio Bertone
collection DOAJ
description 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.
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spelling doaj-art-a4a098b6c0dd49d38c33c30f0c44a8d42025-08-20T02:05:46ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513110.1007/JHEP05(2025)183One-loop matching for leading-twist generalised transverse-momentum-dependent distributionsValerio Bertone0Miguel G. Echevarria1Oscar del Rio2Simone Rodini3IRFU, CEA, Université Paris-SaclayDepartment of Physics, University of the Basque Country UPV/EHUDepartment of Theoretical Physics & IPARCOS, Complutense University of MadridDeutsches Elektronen-Synchrotron DESYAbstract 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.https://doi.org/10.1007/JHEP05(2025)183Parton DistributionsFactorizationRenormalization GroupProperties of Hadrons
spellingShingle Valerio Bertone
Miguel G. Echevarria
Oscar del Rio
Simone Rodini
One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
Journal of High Energy Physics
Parton Distributions
Factorization
Renormalization Group
Properties of Hadrons
title One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
title_full One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
title_fullStr One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
title_full_unstemmed One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
title_short One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
title_sort one loop matching for leading twist generalised transverse momentum dependent distributions
topic Parton Distributions
Factorization
Renormalization Group
Properties of Hadrons
url https://doi.org/10.1007/JHEP05(2025)183
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