Two-loop splitting in double parton distributions
Markus Diehl, Jonathan R. Gaunt, Peter Ploessl, Andreas Schafer
SciPost Phys. 7, 017 (2019) · published 6 August 2019
- doi: 10.21468/SciPostPhys.7.2.017
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Abstract
Double parton distributions (DPDs) receive a short-distance contribution from a single parton splitting to yield the two observed partons. We investigate this mechanism at next-to-leading order (NLO) in perturbation theory. Technically, we compute the two-loop matching of both the position and momentum space DPDs onto ordinary PDFs. This also yields the 1 -> 2 splitting functions appearing in the evolution of momentum-space DPDs at NLO. We give results for the unpolarised, colour-singlet DPDs in all partonic channels. These quantities are required for calculations of double parton scattering at full NLO. We discuss various kinematic limits of our results, and we verify that the 1 -> 2 splitting functions are consistent with the number and momentum sum rules for DPDs.
Cited by 16
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Markus Diehl,
- 2 Jonathan Gaunt,
- 3 Peter Plößl,
- 3 Andreas Schafer
- 1 Deutsches Elektronen-Synchrotron / Deutsche Elektronen-Synchrotron DESY [DESY]
- 2 Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]
- 3 Universität Regensburg / University of Regensburg