Double parton correlations and constituent quark models: a light front approach to the valence sector

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

doi:10.1007/jhep12(2014)028

Cited by 61 publications

(136 citation statements)

References 92 publications

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“…In previous papers of ours [14,23] we have already emphasized that this error can be rather sizeable when x 1 , x 2 lie in the valence region. We want now to analyze the low x scenario, reaching x values as low as 10 −2 , using a full, nonsinglet and singlet, LO QCD evolution to the very high Q 2 scales typical of pp scattering at the LHC.…”

Section: Perturbative and Non-perturbative Two-parton Correlations Atmentioning

confidence: 86%

“…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%

“…In particular, in ref. [14], a Light-Front (LF) Poincaré covariant approach, reproducing the essential sum rules of dPDFs without ad hoc assumptions and containing natural two-parton correlations, has been described. We note in passing that, although it has not yet been possible to extract dPDFs from data, the so called "effective cross section", σ eff , the ratio of the product of two single parton scattering cross sections to the DPS cross section with the same final states, has been extracted, in a model dependent way, in several experiments [17][18][19][20][21][22].…”

Section: Jhep10(2016)063mentioning

confidence: 99%

“…The first section is dedicated to present a short summary of the formalism and the results obtained in ref. [14]. The second section is dedicated to compare our results, where correlations are naturally produced by the dynamics of the model, with a few factorized forms of dPDFs.…”

Section: Jhep10(2016)063mentioning

confidence: 99%

“…The evolution is performed by means of the Non-Singlet reduction of the QCD evolution as described in ref. [14] figure 7 is compared with complete Mellin procedure we are proposing for both Singlet and Non-Singlet sectors is illustrated in some detail. The result is shown in figure 7 for four selected values of x 2 .…”

Section: Sea and Gluon Contribution According To Ref [41]mentioning

confidence: 99%

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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: Perturbative and Non-perturbative Two-parton Correlations Atmentioning

confidence: 86%

Section: Jhep10(2016)063mentioning

confidence: 99%

Section: Jhep10(2016)063mentioning

confidence: 99%

Section: Jhep10(2016)063mentioning

confidence: 99%

Section: Sea and Gluon Contribution According To Ref [41]mentioning

confidence: 99%

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

Rinaldi

Scopetta

Traini

et al. 2016

J. High Energ. Phys.

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Untitled

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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Transverse momentum in double parton scattering: factorisation, evolution and matching

Buffing

Diehl

Kasemets

2018

J. High Energ. Phys.

111

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We give a description of double parton scattering with measured transverse momenta in the final state, extending the formalism for factorisation and resummation developed by Collins, Soper and Sterman for the production of colourless particles. After a detailed analysis of their colour structure, we derive and solve evolution equations in rapidity and renormalisation scale for the relevant soft factors and double parton distributions. We show how in the perturbative regime, transverse momentum dependent double parton distributions can be expressed in terms of simpler nonperturbative quantities and compute several of the corresponding perturbative kernels at one-loop accuracy. We then show how the coherent sum of single and double parton scattering can be simplified for perturbatively large transverse momenta, and we discuss to which order resummation can be performed with presently available results. As an auxiliary result, we derive a simple form for the square root factor in the Collins construction of transverse momentum dependent parton distributions.

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Double parton correlations and constituent quark models: a light front approach to the valence sector

Cited by 61 publications

References 92 publications

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

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

Untitled

Transverse momentum in double parton scattering: factorisation, evolution and matching

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