Wilson-line geometries and the relation between IR singularities of form factors and the large-x limit of DGLAP splitting functions

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Abstract

We discuss the relation between the infrared singularities of on-shell partonic form factors and parton distribution functions (PDFs) near the elastic limit, through their factorisation in terms of Wilson-line correlators. Ultimately we identify the difference between the anomalous dimensions controlling single poles of these two quantities to all loops in terms of the closed parallelogram Wilson loop. To arrive at this result we first use the common hard-collinear behaviour of the two to derive a relation between their respective soft singularities, and then show that the latter is manifested in terms of differing Wilson-line geometries. We perform explicit diagrammatic calculations in configuration space through two loops to verify the relation. More generally, the emerging picture allows us to classify collinear singularities in eikonal quantities depending on whether they are associated with finite (closed) Wilson-line segments or infinite (open) ones.
Original languageEnglish
Title of host publicationWilson-line geometries and the relation between IR singularities of form factors and the large-x limit of DGLAP splitting functions
PublisherPoS - Proceedings of Science
Pages1-11
Number of pages11
DOIs
Publication statusPublished - 18 Feb 2020
Event14th International Symposium on Radiative Corrections: RADCOR 2019 - Centre des congres du Palais des Papes, Avignon, France
Duration: 9 Sep 201913 Sep 2019

Conference

Conference14th International Symposium on Radiative Corrections
CountryFrance
CityAvignon
Period9/09/1913/09/19

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