Springer Berlin Heidelberg
Berlin/Heidelberg
Springer
10052
10.1007/10052.1434-6052
1434-6044
1434-6052
30312819
The European Physical Journal C
Particles and Fields
Eur. Phys. J. C
Physics
Elementary Particles, Quantum Field Theory
Nuclear Physics, Heavy Ions, Hadrons
Quantum Field Theories, String Theory
Measurement Science and Instrumentation
Astronomy, Astrophysics and Cosmology
Nuclear Energy
Physics and Astronomy
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107
2019
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2019
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2019
EDP Sciences, Societa Italiana di Fisica (SIF) and Springer-Verlag GmbH, DE
2019
6777
1811.00289
10.1140/epjc/s10052-019-6777-5
253
75
Proof of sum rules for double parton distributions in QCD
Regular Article - Theoretical Physics
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The Author(s)
2019
Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Funded by SCOAP3
M.
Diehl
markus.diehl@desy.de
P.
Plößl
A.
Schäfer
0000 0004 0492 0453
grid.7683.a
Deutsches Elektronen-Synchroton DESY
22603
Hamburg
Germany
0000 0001 2190 5763
grid.7727.5
Institut für Theoretische Physik
Universität Regensburg
93040
Regensburg
Germany
Abstract
Double hard scattering can play an important role for producing multiparticle final states in hadron-hadron collisions. The associated cross sections depend on double parton distributions, which at present are only weakly constrained by theory or measurements. A set of sum rules for these distributions has been proposed by Gaunt and Stirling some time ago. We give a proof for these sum rules at all orders in perturbation theory, including a detailed analysis of the renormalisation of ultraviolet divergences. As a by-product of our study, we obtain the form of the inhomogeneous evolution equation for double parton distributions at arbitrary perturbative order.