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Abstract
We discuss the relation between the infrared singularities of onshell partonic form factors and parton distribution functions (PDFs) near the elastic limit, through their factorisation in terms of Wilsonline 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 hardcollinear 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 Wilsonline 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) Wilsonline segments or infinite (open) ones.
Original language  English 

Title of host publication  Wilsonline geometries and the relation between IR singularities of form factors and the largex limit of DGLAP splitting functions 
Publisher  PoS  Proceedings of Science 
Pages  111 
Number of pages  11 
DOIs  
Publication status  Published  18 Feb 2020 
Event  14th International Symposium on Radiative Corrections: RADCOR 2019  Centre des congres du Palais des Papes, Avignon, France Duration: 9 Sep 2019 → 13 Sep 2019 
Conference
Conference  14th International Symposium on Radiative Corrections 

Country  France 
City  Avignon 
Period  9/09/19 → 13/09/19 
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Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research