Perturbative and nonperturbative correlations in double parton distributions

Snigirev, A.; Snigireva, Nina; Zinovjev, G. M.

doi:10.1103/physrevd.90.014015

Cited by 27 publications

(27 citation statements)

References 70 publications

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“…The impact of 1 → 2 splitting on DPDs and DPS cross sections has been investigated from several points of view, see e.g. [2,3,4,5,6,7,8,9,10,11,12,13]. A different constraint is provided by the DPD sum rules proposed by Gaunt and Stirling [14], which express the conservation of quark flavour and of momentum and nicely fit together with the interpretation of DPDs as probability densities.…”

Section: Introductionmentioning

confidence: 99%

Proof of sum rules for double parton distributions in QCD

2019

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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.

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Section: Introductionmentioning

confidence: 99%

Proof of sum rules for double parton distributions in QCD

2019

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“…Q 1 = Q 2 = Q), the LO evolution equation for the unpolarized double parton distributions F j 1 j 2 (x 1 , x 2 ; Q 2 ) then reads (see ref. [54])…”

Section: A Perturbative Evolution Of Dpdfs In Mellin Spacementioning

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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“…If parton momentum fractions are small, x 1 , x 2 ≪ 1, both parametrizations of the initial distributions, given by Eqs. (19), (20), and (21), tend to the factorized form…”

Section: Factorization At Small Xmentioning

confidence: 99%

“…This process, called the double parton scattering (DPS), is viewed as two hard interactions of two pairs of partons from the scattering hadrons. The DPS is the simplest process in the analysis of multiparton interactions, studied for many years from both the theoretical [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and phenomenological sides [21][22][23][24][25][26][27][28][29][30][31][32]. The experimental evidence of the DPS has been presented in Refs.…”

Section: Introductionmentioning

confidence: 99%

How to impose initial conditions for QCD evolution of double parton distributions?

Golec-Biernat

Lewandowska

2014

Phys. Rev. D

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Double parton distribution functions are used in the QCD description of double parton scattering. The double parton distributions evolve with hard scales through QCD evolution equations which obey nontrivial momentum and valence quark number sum rules. We describe an attempt to construct initial conditions for the evolution equations which exactly fulfill these sum rules and discuss its shortcomings. We also discuss the factorization of the double parton distributions into a product of two single parton distribution functions at small values of the parton momentum fractions.

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Perturbative and nonperturbative correlations in double parton distributions

Abstract: We argue that the perturbative QCD correlations contribute dominantly to the double parton distributions as compared to the nonperturbative ones in the limit of sufficiently large hard scales and for not parametrically small longitudinal momentum fractions.

Cited by 27 publications

References 70 publications

Proof of sum rules for double parton distributions in QCD

Proof of sum rules for double parton distributions in QCD

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

How to impose initial conditions for QCD evolution of double parton distributions?

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