Proof of sum rules for double parton distributions in QCD

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.

arXiv comment31 pages, 7 figures. v2: added references and clarifications in the text

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• Double parton distributions in the pion from lattice QCD
• Two-loop splitting in double parton distributions: the colour non-singlet case
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• Confronting same-sign W-boson production with parton correlations
• Observation of same-sign WW production from double parton scattering in proton-proton collisions at $\sqrt{s}$ = 13 TeV
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• Observation of double parton scattering in same-sign W boson pair production in pp collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Numerical Study of MRW-Type Unintegrated Double Parton Distribution Functions from Non-Factorized DPDFs