Positivity bounds on double parton distributions

Diehl, Markus; Kasemets, Tomas

doi:10.1007/jhep05(2013)150

Cited by 32 publications

(60 citation statements)

References 42 publications

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“…where the one-loop DGLAP splitting kernels (collected for all polarizations in [65]) are Table 1. Perturbative orders in logarithmic resummations, both for for resummations in momentum space and in impact parameter space.…”

Section: Gluon Helicity Tmdpdfmentioning

confidence: 99%

QCD evolution of (un)polarized gluon TMDPDFs and the Higgs qT -distribution

Echevarría

Kasemets²,

Mulders³

et al. 2015

J. High Energ. Phys.

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116

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Abstract:We provide the proper definition of all the leading-twist (un)polarized gluon transverse momentum dependent parton distribution functions (TMDPDFs), by considering the Higgs boson transverse momentum distribution in hadron-hadron collisions and deriving the factorization theorem in terms of them. We show that the evolution of all the (un)polarized gluon TMDPDFs is driven by a universal evolution kernel, which can be resummed up to next-to-next-to-leading-logarithmic accuracy. Considering the proper definition of gluon TMDPDFs, we perform an explicit next-to-leading-order calculation of the unpolarized (f g 1 ), linearly polarized (h ⊥g 1 ) and helicity (g g 1L ) gluon TMDPDFs, and show that, as expected, they are free from rapidity divergences. As a byproduct, we obtain the Wilson coefficients of the refactorization of these TMDPDFs at large transverse momentum. In particular, the coefficient of g g 1L , which has never been calculated before, constitutes a new and necessary ingredient for a reliable phenomenological extraction of this quantity, for instance at RHIC or the future AFTER@LHC or Electron-Ion Collider. The coefficients of f g 1 and h ⊥g 1 have never been calculated in the present formalism, although they could be obtained by carefully collecting and recasting previous results in the new TMD formalism. We apply these results to analyze the contribution of linearly polarized gluons at different scales, relevant, for instance, for the inclusive production of the Higgs boson and the C-even pseudoscalar bottomonium state η b . Applying our resummation scheme we finally provide predictions for the Higgs boson q T -distribution at the LHC.

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Section: Gluon Helicity Tmdpdfmentioning

confidence: 99%

QCD evolution of (un)polarized gluon TMDPDFs and the Higgs qT -distribution

Echevarría

Kasemets²,

Mulders³

et al. 2015

J. High Energ. Phys.

Self Cite

116

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“…A warning on the issue of positivity of dPDFs, even in the unpolarized, vector case of interest here, has been reported in Ref. [40]. The interpretation of any parton distribution as a probability density is not strictly valid in QCD, because the distributions are defined with subtractions from the ultraviolet region of parton momenta, which can invalidate their positivity.…”

Section: Light Frontmentioning

confidence: 92%

Double parton distributions in the pion in the Nambu–Jona-Lasinio model

Courtoy

Noguera

Scopetta

2019

J. High Energ. Phys.

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Two-parton correlations in the pion, a non perturbative information encoded in double parton distribution functions, are investigated in the Nambu and Jona-Lasinio model. It is found that double parton distribution functions expose novel dynamical information on the structure of the pion, not accessible through one-body parton distributions, as it happens in several estimates for the proton target and in a previous evaluation for the pion, in a light-cone framework. Expressions and predictions are given for double parton distributions corresponding to leading-twist Dirac operators in the quark vertices, and to different regularization methods for the Nambu and Jona-Lasinio model. These results are particularly relevant in view of forthcoming lattice data. arXiv:1909.09530v1 [hep-ph]

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“…Elements of the QCD formulation are presented in [9][10][11][12], while a 2 GPD interpretation is provided in [13]. Positivity bounds for dPDFs were recently discussed in [14].…”

Section: Introductionmentioning

confidence: 99%

“…Elements of the QCD formulation are presented in [9][10][11][12], while a 2 GPD interpretation is provided in [13]. Positivity bounds for dPDFs were recently discussed in [14].Dynamic modeling of dPDFs has been up to now very little explored. In fact, the only calculations which nonperturbatively predict the valence dPDFs of the nucleon have been carried out in the framework of the MIT bag model [15] and in the constituent quark model [16].…”

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confidence: 99%

Valence Double Parton Distributions of the Nucleon in a Simple Model

Broniowski

Arriola

2014

Few-Body Syst

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Valence double parton distribution functions of the nucleon are evaluated in the framework of a simple model, where the conservation of the longitudinal momentum is taken into account. The leading-order DGLAP QCD evolution from the low quark-model scale to higher renormalization scales is carried out via the Mellin moments of the distributions. Results of the valence quark correlation function show that in general the double distributions cannot be approximated as a product of the single-particle distributions.Theoretical interest in double parton distributions (dPDFs) in hadrons has been recently renewed (see the reviews [1,2] and the references therein). The activity is largely triggered by the experimental program at the LHC, where the double parton scattering (DPS) may bring substantial contribution in certain production processes [3,4]. Phenomenological aspects of the inclusion of the multi-parton effects have been widely pursued since the early days of the parton model [5], while many formal features of the multiparton evolution [6,7] follow from a pioneering study on fragmentation functions [8]. Elements of the QCD formulation are presented in [9][10][11][12], while a 2 GPD interpretation is provided in [13]. Positivity bounds for dPDFs were recently discussed in [14].Dynamic modeling of dPDFs has been up to now very little explored. In fact, the only calculations which nonperturbatively predict the valence dPDFs of the nucleon have been carried out in the framework of the MIT bag model [15] and in the constituent quark model [16]. In both calculations, the approximate implementation of relativity has the side effect of producing distributions with unphysical support, i.e., extending outside the interval 0 ≤ x 1 , x 2 , x 1 + x 2 ≤ 1. An important aspect of the dPDFs is that they allow to detect tight diquark correlations, in which case the dPDF becomes a function of the sum x 1 + x 2 . In the (x 1 , x 2 ) distribution plot the fingerprints are the straight-line structures inclined by 45 • .The purpose of this talk is to explore the valence dPDF of the proton in a very simple model which includes the exact momentum-conservation constraints and complies to the Lorentz invariance. Satisfaction of these requirements results in proper theoretical features, such as the correct support in the x-variables or the quarknumber and momentum sum rules [17]. In the considered model, the correlations between partons are due Talk presended by WB at the Light Cone 2013 Conference, Skiathos, Greece.

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Positivity bounds on double parton distributions

Cited by 32 publications

References 42 publications

QCD evolution of (un)polarized gluon TMDPDFs and the Higgs qT -distribution

QCD evolution of (un)polarized gluon TMDPDFs and the Higgs qT -distribution

Double parton distributions in the pion in the Nambu–Jona-Lasinio model

Valence Double Parton Distributions of the Nucleon in a Simple Model

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