A model calculation of double parton distribution functions of the pion

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

doi:10.1140/epjc/s10052-018-6256-4

Cited by 26 publications

(57 citation statements)

References 54 publications

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“…It is worth noting some other non-perturbative studies of dPDFs in quark models for the nucleon, such as in the MIT bag [34] or in the constituent quark model model [35], also with the light-front wave functions [36,37]. We stress that the longitudinal correlation features in these models are qualitatively understood in the framework of the valon model [38,39], as shown in [40,41].…”

Section: Introductionmentioning

confidence: 72%

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: Introductionmentioning

confidence: 72%

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

Broniówski

Arriola

2020

Phys. Rev. D

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“…It is therefore important to have as much theoretical guidance as possible about the properties and behaviour of DPDs. Apart from approaches that focus on fulfilling theoretical constraints [47][48][49][50], there exists a large number of model calculations for the DPDs of the nucleon [51][52][53][54][55][56][57][58] and a smaller number for those of the pion [59][60][61][62].…”

Section: Jhep02(2021)067mentioning

confidence: 99%

Double parton distributions in the pion from lattice QCD

Bali

Castagnini

Diehl

et al. 2021

J. High Energ. Phys.

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We perform a lattice study of double parton distributions in the pion, using the relationship between their Mellin moments and pion matrix elements of two local currents. A good statistical signal is obtained for almost all relevant Wick contractions. We investigate correlations in the spatial distribution of two partons in the pion, as well as correlations involving the parton polarisation. The patterns we observe depend significantly on the quark mass. We investigate the assumption that double parton distributions approximately factorise into a convolution of single parton distributions.

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“…It is hence essential to develop realistic models for DPDs. Considerable efforts have been made to compute them in quark models [51][52][53][54][55][56][57][58][59][60][61][62], and lattice calculations of Mellin moments of DPDs are underway [63,64]. In addition, there are important theoretical constraints on DPDs.…”

Section: Introductionmentioning

confidence: 99%

Sum rule improved double parton distributions in position space

et al. 2020

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Models for double parton distributions that are realistic and consistent with theoretical constraints are crucial for a reliable description of double parton scattering. We show how an ansatz that has the correct behaviour in the limit of small transverse distance between the partons can be improved step by step, such as to fulfil the sum rules for double parton distributions with an accuracy around 10%.

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A model calculation of double parton distribution functions of the pion

Cited by 26 publications

References 54 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 from lattice QCD

Sum rule improved double parton distributions in position space

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