Correlations in double parton distributions: perturbative and non-perturbative effects

  • Matteo Rinaldi
  • Sergio Scopetta
  • Marco Traini
  • Vicente Vento
Open Access
Regular Article - Theoretical Physics


The correct description of Double Parton Scattering (DPS), which represents a background in several channels for the search of new Physics at the LHC, requires the knowledge of double parton distribution functions (dPDFs). These quantities represent also a novel tool for the study of the three-dimensional nucleon structure, complementary to the possibilities offered by electromagnetic probes. In this paper we analyze dPDFs using Poincaré covariant predictions obtained by using a Light-Front constituent quark model proposed in a recent paper, and QCD evolution. We study to what extent factorized expressions for dPDFs, which neglect, at least in part, two-parton correlations, can be used. We show that they fail in reproducing the calculated dPDFs, in particular in the valence region. Actually measurable processes at existing facilities occur at low longitudinal momenta of the interacting partons; to have contact with these processes we have analyzed correlations between pairs of partons of different kind, finding that, in some cases, they are strongly suppressed at low longitudinal momenta, while for other distributions they can be sizeable. For example, the effect of gluon-gluon correlations can be as large as 20 %. We have shown that these behaviors can be understood in terms of a delicate interference of non-perturbative correlations, generated by the dynamics of the model, and perturbative ones, generated by the model independent evolution procedure. Our analysis shows that at LHC kinematics two-parton correlations can be relevant in DPS, and therefore we address the possibility to study them experimentally.


Deep Inelastic Scattering (Phenomenology) Phenomenological Models 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Matteo Rinaldi
    • 1
  • Sergio Scopetta
    • 1
  • Marco Traini
    • 2
    • 3
  • Vicente Vento
    • 4
  1. 1.Dipartimento di Fisica e Geologia, Università degli Studi di Perugia and Istituto Nazionale di Fisica Nucleare, Sezione di PerugiaPerugiaItaly
  2. 2.Institut de Physique Théorique CEA-SaclayGif-sur-YvetteFrance
  3. 3.INFN — TIFPA, Dipartimento di FisicaUniversità degli Studi di TrentoPovo (Trento)Italy
  4. 4.Departament de Física Teòrica, Universitat de València and Institut de Física Corpuscular, Consejo Superior de Investigaciones CientíficasValènciaSpain

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