https://doi.org/10.1140/epjc/s10052-019-6777-5
Regular Article - Theoretical Physics
Proof of sum rules for double parton distributions in QCD
1
Deutsches Elektronen-Synchroton DESY, 22603, Hamburg, Germany
2
Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany
* e-mail: markus.diehl@desy.de
Received:
22
February
2019
Accepted:
12
March
2019
Published online:
20
March
2019
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.
© The Author(s), 2019
