Proof of sum rules for double parton distributions in QCD
- Resource Type
- article
- Authors
- M. Diehl; P. Plößl; A. Schäfer
- Source
- European Physical Journal C: Particles and Fields, Vol 79, Iss 3, Pp 1-20 (2019)
- Subject
- Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
- Language
- English
- ISSN
- 1434-6044
1434-6052
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.