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arXiv · 1811.00289

Proof of sum rules for double parton distributions in QCD

Markus Diehl·Peter Ploessl·Andreas Schafer
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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.

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Markus Diehl, Peter Ploessl, Andreas Schafer. 2019-03-12. Proof of sum rules for double parton distributions in QCD. https://doi.org/10.1140/epjc%2Fs10052-019-6777-5

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