Positivity bounds on double parton distributions

Abstract

Double hard scattering in proton-proton collisions is described in terms of double parton distributions. We derive bounds on these distributions that follow from their interpretation as probability densities, taking into account all possible spin correlations between two partons in an unpolarized proton. These bounds constrain the size of the polarized distributions and can for instance be used to set upper limits on the effects of spin correlations in double hard scattering. We investigate the stability of the bounds under leading-order DGLAP evolution to higher scales.

17 pages; v2: several clarifications added

References in corpus (4)

• Elements of a theory for multiparton interactions in QCD
• Theoretical considerations on multiparton interactions in QCD
• Correlations in double parton distributions at small x
• Angular correlations in the double Drell-Yan process

Cited by in corpus (21)

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