Proof of sum rules for double parton distributions in QCD

Diehl, Markus and Ploessl, P. and Schaefer, A. (2019) Proof of sum rules for double parton distributions in QCD. EUROPEAN PHYSICAL JOURNAL C, 79 (3): 253. ISSN 1434-6044, 1434-6052

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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.

Item Type: Article
Uncontrolled Keywords: QUANTUM ELECTRODYNAMICS; JET CALCULUS; LIGHT-FRONT; SCATTERING; EQUATIONS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Apr 2020 08:31
Last Modified: 20 Apr 2020 08:31
URI: https://pred.uni-regensburg.de/id/eprint/27348

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