Double parton correlations in constituent quark models

Rinaldi, Matteo; Scopetta, Sergio; Vento, V.

doi:10.1103/physrevd.87.114021

Cited by 70 publications

(127 citation statements)

References 52 publications

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“…No data are presently available for dPDFs and their calculation using non perturbative methods is cumbersome. A few model calculations, able in principle to grasp the most relevant features of dPDFs, have been therefore performed [12][13][14][15][16]. In particular, in ref.…”

Section: Jhep10(2016)063mentioning

confidence: 99%

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

Rinaldi

Scopetta

Traini

et al. 2016

J. High Energ. Phys.

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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.

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Section: Jhep10(2016)063mentioning

confidence: 99%

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

Rinaldi

Scopetta

Traini

et al. 2016

J. High Energ. Phys.

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“…As one can see, these quantities vary weakly on k ⊥ so that a factorized ansatz of dPDFs on k ⊥ and x dependence is not valid in this approach, as in the cases discussed in Refs. [13,14]. Let us remark in particular that the amount of this violation is strongly related to the contribution of the Melosh rota-…”

Section: Results Of the Calculations At The Hadronic Scalementioning

confidence: 97%

“…In particular, the decreasing behavior of the dPDFs with respect to the increasing of k ⊥ is qualitatively similar to the results discussed in Refs. [13,14]. In order to study the validity of the approximations Eq.…”

Section: Results Of the Calculations At The Hadronic Scalementioning

confidence: 99%

“…(12), can be easily worked out without any additional approximation, at variance with what happens in the instant form calculations of PDFs and dPDFs (see, e.g., Ref. [14]). As a direct consequence, the bad support problem does not show up in our relativistic calculation.…”

Section: Light-front Cqm and Dpdfsmentioning

confidence: 99%

“…[13,14]. In the first scenario use has been made of a the MIT bag model in the cavity-approximation, properly modified in order to introduce double parton correlations.…”

Section: Introductionmentioning

confidence: 99%

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Double parton correlations in Light-Front constituent quark models

Rinaldi

Scopetta

Traini

et al. 2015

EPJ Web of Conferences

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Abstract. Double parton distribution functions (dPDF) represent a tool to explore the 3D proton structure. They can be measured in high energy proton-proton and proton nucleus collisions and encode information on how partons inside a proton are correlated among each other. dPFDs are studied here in the valence quark region, by means of a constituent quark model, where two particle correlations are present without any additional prescription. This framework allows to understand the dynamical origin of the correlations and to clarify which, among the features of the results, are model independent. Use will be made of a relativistic light-front scheme, able to overcome some drawbacks of the previous calculation. Transverse momentum correlations, due to the exact treatment of the boosts, are predicted and analyzed. The role of spin correlations is also shown. Due to the covariance of the approach, some symmetries of the dPDFs are seen unambigously. For the valence sector, also the study of the QCD evolution of the model results, which can be performed safely thanks to the property of good support, has been also completed.

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Rinaldi¹,

Scopetta²,

Traini³

et al. 2017

Light Cone 2015

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Double parton scattering, occurring in high energy hadron-hadron collisions, e.g. at the LHC, is usually investigated through model dependent analyses of the so called effective cross section σ ef f . We present a dynamic approach to this fundamental quantity making use of a Light-Front model treatment. Within such a framework σ ef f is initially evaluated at low energy scale using the model and then, through QCD evolution, at high energy scale to reach the experimental conditions. Our numerical outcomes are consistent with the present experimental analyses of data in kinematical region we investigate. An important result of the present work is the x i dependence of σ ef f , a feature directly connected to double parton correlations and which could unveil new information on the three dimensional structure of the proton.

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Double parton correlations in constituent quark models

Cited by 70 publications

References 52 publications

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

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

Double parton correlations in Light-Front constituent quark models

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