Two-current correlations in the pion on the lattice

Bali, Gunnar S.; Bruns, Peter C.; Castagnini, Luca; Diehl, Markus; Gaunt, Jonathan R.; Gläßle, Benjamin; Schäfer, Andreas; Sternbeck, André; Zimmermann, Christian

doi:10.1007/jhep12(2018)061

Cited by 21 publications

(38 citation statements)

References 44 publications

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“…We continued this line of investigation in a recent paper [12]. We performed a lattice computation of the matrix elements of two scalar, pseudoscalar, vector, or axial vector currents in the pion and compared our results with predictions of chiral perturbation theory.…”

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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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.

Self Cite

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“…A strong motivation to investigate the double parton distribution functions (dPDFs) in the pion comes from the more and more promising prospects of the lattice QCD studies [1,2]. In this paper we address the valence dPDF of the pion in the simplest covariant fieldtheoretic approach to its structure, namely the Nambu-Jona-Lasinio (NJL) model [3,4], where the pion arises as a Goldstone boson of the spontaneously broken chiral symmetry and as a qq relativistic bound state of the Bethe-Salpeter equation.…”

Section: Introductionmentioning

confidence: 99%

“…In the case of the pion, the correlation structure is particularly relevant, as it indicates to what extent the quark and anti-quark are entangled in the presence of additional gluons. While it will be hard to measure dPDF for the pion experimentally, some of its features will become soon available from lattice QCD [1,2], thus offering a unique chance of testing the internal structure of the pion and, more specifically, the correlations between its qq constituents. However, the quest for dPDFs is non-perturbative, whereas the evolution only relates these quantities perturbatively at different scales, saying nothing about their absolute determination at a given scale.…”

Section: Introductionmentioning

confidence: 99%

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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“…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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Two-current correlations in the pion on the lattice

Cited by 21 publications

References 44 publications

Double parton distributions in the pion from lattice QCD

Double parton distributions in the pion from lattice QCD

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

Sum rule improved double parton distributions in position space

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