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15 pages, 408 KB

Open AccessArticle

Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model

by Parada T. P. Hutauruk

Symmetry 2025, 17(6), 971; https://doi.org/10.3390/sym17060971 - 19 Jun 2025

Viewed by 458

In this paper, I investigate the gluon distributions for the kaon and pion, as well as the improvement of the valence-quark distributions, in the framework of the gauge-invariant nonlocal chiral quark model (NL

χ

QM), where the momentum dependence is taken into account. [...] Read more.

χ

QM), where the momentum dependence is taken into account. I then compute the gluon distributions for the kaon and pion that are dynamically generated from the splitting functions in the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) QCD evolution. In a comparison with the recent lattice QCD and JAM global analysis results, it is found that the results for the pion gluon distributions at

Q =

2 GeV, which is set based on the lattice QCD, have a good agreement with the recent lattice QCD data; this is followed up with the up valence-quark distribution of the pion results at

Q =

5.2 GeV in comparison with the reanalysis experimental data. The prediction for the kaon gluon distributions at

Q = 2

GeV is consistent with the recent lattice QCD calculation. Full article

(This article belongs to the Special Issue Chiral Symmetry, and Restoration in Nuclear Dense Matter)

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16 pages, 545 KB

Open AccessArticle

The cos 2ϕ_h Asymmetry in K^± Mesons and the Λ-Hyperon-Produced SIDIS Process at Electron Ion Colliders

by Jianxi Song, Yanli Li, Shi-Chen Xue, Hui Li and Xiaoyu Wang

Universe 2024, 10(7), 280; https://doi.org/10.3390/universe10070280 - 28 Jun 2024

Cited by 1 | Viewed by 1180

Abstract

We investigate the

\cos 2 ϕ_{h}

azimuthal asymmetry contributed by the coupling of the Boer–Mulders function and the Collins function in

K^{\pm}

- and

Λ

-hyperon-produced SIDIS process. The asymmetry is studied under the transverse-momentum-dependent (TMD) factorization framework at the leading [...] Read more.

We investigate the

\cos 2 ϕ_{h}

azimuthal asymmetry contributed by the coupling of the Boer–Mulders function and the Collins function in

K^{\pm}

- and

Λ

-hyperon-produced SIDIS process. The asymmetry is studied under the transverse-momentum-dependent (TMD) factorization framework at the leading order by considering the TMD evolution effects that utilize the parametrization for non-perturbative Sudakov form factors. The DGLAP evolution effects of the collinear counterpart of the Collins function of the final-state hadrons are considered by introducing the approximated evolution kernels. We utilize the available parametrization for the proton Boer–Mulders function and the Collins function of

K^{\pm}

. For the Collins function of the

Λ

hyperon, the result of the diquark spectator model is adopted due to the absence of parametrization. The numerical results of the

\cos 2 ϕ_{h}

azimuthal asymmetry are obtained in the kinematic regions of EIC and EicC. It can be shown that the asymmetry is much smaller than the Sivers asymmetry, which means that the convolution of the Boer–Mulders function and the Collins function may not be the main contributor to the

\cos 2 ϕ_{h}

asymmetry. We emphasize the importance of future measurement of the

\cos 2 ϕ_{h}

asymmetry to unravel different contributors. Full article

(This article belongs to the Special Issue The Quantum Chromodynamics: 50th Anniversary of the Discovery)

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39 pages, 1973 KB

Open AccessReview

Exotic Tetraquarks at the HL-LHC with JETHAD: A High-Energy Viewpoint

by Francesco Giovanni Celiberto

Symmetry 2024, 16(5), 550; https://doi.org/10.3390/sym16050550 - 2 May 2024

Cited by 12 | Viewed by 1698

Abstract

We review the semi-inclusive hadroproduction of a neutral hidden-flavor tetraquark with light and heavy quark flavor at the HL-LHC, accompanied by another heavy hadron or a light-flavored jet. We make use of the novel TQHL1.0 determinations of leading-twist fragmentation functions to describe the formation mechanism of a tetraquark state within the next-to-leading order perturbative QCD. This framework builds on the basis of a spin physics-inspired model, taken as a proxy for the lowest-scale input of the constituent heavy-quark fragmentation channel. Then, all parton-to-tetraquark fragmentation functions are consistently obtained via the above-threshold DGLAP evolution in a variable-flavor number scheme. We provide predictions for a series of differential distributions calculated by the hands of the JETHAD method, well-adapted to

NLL / {NLO}^{+}

hybrid-factorization studies, where the resummation of next-to-leading energy logarithms and beyond is included in the collinear picture. We provide corroborating evidence that high-energy observables sensitive to semi-inclusive tetraquark emissions at the HL-LHC exhibit a fair stability under radiative corrections, as well as MHOU studies. Our analysis constitutes a prime contact point between QCD resummations and the exotic matter. Full article

(This article belongs to the Special Issue Symmetry and Quantum Chromodynamics in Heavy-Hadron and Quarkonium Production)

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26 pages, 469 KB

Open AccessArticle

Analytical Solution to DGLAP Integro-Differential Equation in a Simple Toy-Model with a Fixed Gauge Coupling

by Gustavo Álvarez, Gorazd Cvetič, Bernd A. Kniehl, Igor Kondrashuk and Ivan Parra-Ferrada

Quantum Rep. 2023, 5(1), 198-223; https://doi.org/10.3390/quantum5010013 - 27 Feb 2023

Cited by 2 | Viewed by 3502

Abstract

We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gauge boson (gluon) distribution and in which the gauge coupling does not run. This may be [...] Read more.

N = 4

supersymmetric gauge theory with softly broken supersymmetry, other finite supersymmetric gauge theory with a lower level of supersymmetry, or topological Chern–Simons field theories. We maintain only one term in the splitting function of unintegrated gluon distribution and solve DGLAP analytically for this simplified splitting function. The solution is found using the Cauchy integral formula. The solution restricts the form of the unintegrated gluon distribution as a function of momentum transfer and of Bjorken x. Then, we consider an almost realistic splitting function of unintegrated gluon distribution as an input to DGLAP equation and solve it by the same method which we have developed to solve DGLAP equation for the toy-model. We study a result obtained for the realistic gluon distribution and find a singular Bessel-like behavior in the vicinity of the point

x = 0

and a smooth behavior in the vicinity of the point

x = 1

. Full article

5 pages, 352 KB

Open AccessProceeding Paper

Non-Extensive Motivated Parton Fragmentation Functions

by Adam Takacs and Gergely Gábor Barnaföldi

Proceedings 2019, 10(1), 12; https://doi.org/10.3390/proceedings2019010012 - 11 Apr 2019

Cited by 3 | Viewed by 1545

Abstract

A new form of fragmentation function is presented here, motivated by earlier non-extensive studies of jet fragmentation. We parametrized our Tsallis-like function on pion spectra and compared it to the most common fragmentation function parametrizations. It is shown that the new form is [...] Read more.

(This article belongs to the Proceedings of Hot Quarks 2018—Workshop for Young Scientists on the Physics of Ultrarelativistic Nucleus-Nucleus Collisions)

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