The effective cross section for double parton scattering within a holographic AdS/QCD approach

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

doi:10.1016/j.physletb.2017.02.061

Cited by 27 publications

(50 citation statements)

References 49 publications

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“…which coincides exactly with the geometric cross section (see the discussion in [35]). This number is somewhat larger from similar estimates for the nucleon case, where one obtains about 15 mb (see for instance [63][64][65]) Actually, if we restricted the integration limit to the value where the effective form factor f (b) is positive, we would get about twice the value for the effective cross section, 47 mb.…”

Section: A Spectral Quark Modelmentioning

confidence: 69%

Double parton distribution of valence quarks in the pion in chiral quark models

Broniówski

Arriola

2020

Phys. Rev. D

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The valence double parton distribution of the pion is analyzed in the framework of chiral quark models, where in the chiral limit factorization between the longitudinal and transverse degrees of freedom occurs. This feature leads, at the quark-model scale, to a particularly simple distribution of the form D(x1, x2, y) = δ(1−x1 −x2)F (y), where x1,2 are the longitudinal momentum fractions carried the valence quark and antiquark, and y is the separation of their transverse positions. For y = 0 this result complies immediately to the Gaunt-Sterling sum rules. The DGLAP evolution to higher scales is carried out in terms of the Mellin moments. We then explore its role on the longitudinal correlation quantified with the ratio of the double distribution to the product of single distributions, D(x1, x2, y)/D(x1)D(x2). We point out that the ratios of moments x n 1 x m 2 / x n 1 x m 2 are independent of the evolution, providing particularly suitable measures to be tested in the upcoming lattice simulations. The transverse form factor F (y) is obtained in variants of the Nambu-Jona-Lasinio model with the spectral and Pauli-Villars regularizations. Interestingly, with the spectral regularization of the model, the effective cross section for the double parton scattering of pions is exactly equal to the geometric cross section, σ eff = π y 2 and yields about 20 mb.

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Section: A Spectral Quark Modelmentioning

confidence: 69%

Double parton distribution of valence quarks in the pion in chiral quark models

Broniówski

Arriola

2020

Phys. Rev. D

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“…(19) are linear in the integrated momentum, k ⊥ , and, therefore, the corresponding dPDFs vanish after the integration present in Eq. (18). In ref.…”

Section: Light Frontmentioning

confidence: 99%

“…[7] and [8] it has been shown that, in a mean field approach, neglecting correlations between the involved partons, the dPDF F qq in momentum space factorizes in the product of two GPDs at zero skewness. The validity of this factorization has been analyzed in a number of model calculations where it has been found to fail in general, in particular in the valence region at the momentum scale associated to the model [12][13][14][15][16][17][18]24]. Let us now check whether or not the factorization in two GPDs, in the vector sector where it makes sense for a pion, The quality of the approximation decreases as q ⊥ increases as emphasized by the shaded areas, showing the difference between the exact calculation and the approximation.…”

mentioning

confidence: 99%

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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“…This approach to color confinement provides effective semiclassical QCD bound-state equations [26][27][28][29], where the confinement potential is determined by an underlying superconformal algebraic structure [30][31][32]. Because of the increasing interest in parton distributions, LFHQCD-based models have been developed with modifications of the light-front wave functions [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. Recently, we introduced a new approach for deriving PDFs as well as generalized parton distributions (GPDs) from LFHQCD [53] with minimal parameters.…”

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confidence: 99%

Unified Description of Polarized and Unpolarized Quark Distributions in the Proton

et al. 2020

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We propose a unified new approach to describe polarized and unpolarized quark distributions in the proton based on the gauge-gravity correspondence, light-front holography, and the generalized Veneziano model. We find that the spin-dependent quark distributions are uniquely determined in terms of the unpolarized distributions by chirality separation without the introduction of additional free parameters. The predictions are consistent with existing experimental data and agree with perturbative QCD constraints at large longitudinal momentum x. In particular, we predict the sign reversal of the polarized down-quark distribution in the proton at x ¼ 0.8 AE 0.03, a key property of nucleon substructure which will be tested very soon in upcoming experiments.

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The effective cross section for double parton scattering within a holographic AdS/QCD approach

Cited by 27 publications

References 49 publications

Double parton distribution of valence quarks in the pion in chiral quark models

Double parton distribution of valence quarks in the pion in chiral quark models

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

Unified Description of Polarized and Unpolarized Quark Distributions in the Proton

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