The 3-dimensional distribution of quarks in momentum space

Bacchetta, Alessandro; Delcarro, Filippo; Pisano, Cristian; Radici, Marco

doi:10.1016/j.physletb.2022.136961

Cited by 35 publications

(27 citation statements)

References 30 publications

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“…QCD factorization theorems allow to relating the relevant experimental observables to TMDPDFs via perturbatively calculable kernels, and thus provide the theoretical basis for extracting TMDPDFs from such observables. In the past, there have been various TMDPDF fittings in the literature [2][3][4][5][6][7]. However, calculating TMDPDFs from first principles has been a challenge, because they are nonperturbative quantities defined in terms of lightcone correlations.…”

Section: Introductionmentioning

confidence: 99%

Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited

Ji,

Zhang,

Zhao

et al. 2021

Preprint

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Transverse-momentum-dependent parton distribution functions and wave functions (TMD-PDFs/TMDWFs) can be extracted from lattice calculations of appropriate Euclidean matrix elements of staple-shaped Wilson line operators. We investigate the mixing pattern of such operators under lattice renormalization using symmetry considerations. We perform an analysis for operators with all Dirac structures, which reveals mixings that are not present in one-loop lattice perturbation theory calculations. We also present the relevant one-loop matching in a renormalization scheme that does not introduce extra non-perturbative effects at large distances, both for the TMDPDFs and for the TMDWFs. Our results have the potential to greatly facilitate numerical calculations of TMDPDFs and TMDWFs on the lattice.

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Section: Introductionmentioning

confidence: 99%

Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited

Ji,

Zhang,

Zhao

et al. 2021

Preprint

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“…[10], we demonstrate the universality of the Sivers function and describe simultaneously SIDIS, Drell-Yan, and W ± /Z boson production data using TMD evolution and the universal nonperturbative CS kernel extracted from the unpolarized measurements. Our analysis is similar in spirit, but distinct in numerous smaller elements from previous studies [19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Let us point the most important peculiarities, which altogether lead to the success of our description.…”

Section: Introductionmentioning

confidence: 55%

“…[94], but is not consistent in the resummation-like schemes e.g. used in Refs [27,29,31]. In the latter scheme, one would need to use the matching function for Sivers function at N 3 LO, which is not yet available [73].…”

Section: Nonperturbative Parametrization For the Sivers Functionmentioning

confidence: 99%

“…Our data selection cuts (3.2) are the most stringent among all other extractions of Sivers function, compare to Refs. [19][20][21][22][25][26][27][28][29][30]. The Sivers asymmetry in SIDIS has been measured by HERMES [34,35], COMPASS [36,39] 5 and JLab Hall A [41] collaborations.…”

Section: Data Selectionmentioning

confidence: 99%

“…The Sivers function attracted a lot of attention in the literature [19][20][21][22][23][24][25][26][27][28][29][30][31][32] since its invention in the early 90's [8,9], when it was suggested as a possible mechanism for generation of the transverse left-right asymmetry in inclusive pion production in polarized proton-proton scattering [33]. In the modern generation of polarized experiments, transverse single-spin asymmetries (TSSAs) related to the Sivers function have been measured in SIDIS, DY and W ± /Z production processes by HERMES [34,35], COMPASS SIDIS [36][37][38][39], COMPASS DY [40], JLab [41,42] and STAR [43].…”

Section: Introductionmentioning

confidence: 99%

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Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^\pm/Z$ boson production data with TMD evolution

Bury,

Prokudin,

Vladimirov

2021

Preprint

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We perform a global fit of the available polarized Semi-Inclusive Deep Inelastic Scattering (SIDIS), polarized pion-induced Drell-Yan (DY) and W ± /Z boson production data at N 3 LO and NNLO accuracy of the Transverse Momentum Dependent (TMD) evolution, and extract the Sivers function for u, d, s and for sea quarks. The Qiu-Sterman function is determined in a model independent way via the operator product expansion from the extracted Sivers function. The analysis is supplemented by additional studies, such as the estimation of applicability region, the impact of the unpolarized distributions' uncertainties, the universality of the Sivers functions, positivity constraints, the significance of the sign-change relation, and the comparison with the existing extractions.

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Gluon transverse-momentum-dependent distributions from large-momentum effective theory

Zhu

Zhang

et al. 2023

J. High Energ. Phys.

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We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative calculations of gluon unpolarized and helicity TMDPDFs, we present a matching formula connecting them and their LaMET counterparts, where the latter are renormalized in a scheme facilitating lattice calculations and converted to the $$ \overline{\textrm{MS}} $$ MS ¯ scheme. The hard matching kernel is given up to one-loop level. We also show that the perturbative result is independent of the prescription used for the pinch-pole singularity in the relevant correlations. Our results offer a guidance for the extraction of gluon TMDPDFs from lattice simulations, and have the potential to greatly facilitate perturbative calculations of the hard matching kernel.

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The 3-dimensional distribution of quarks in momentum space

Cited by 35 publications

References 30 publications

Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited

Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited

Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^\pm/Z$ boson production data with TMD evolution

Gluon transverse-momentum-dependent distributions from large-momentum effective theory

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