Parton distributions and lattice-QCD calculations: Toward 3D structure

Constantinou, Martha; Courtoy, Aurore; Ebert, M.; Engelhardt, Michael; Giani, Tommaso; Hobbs, Tim; Hou, Tie Jiun; Kusina, A.; Kutak, Krzysztof; Liang, Jian; Lin, Huey‐Wen; Liu, Keh Fei; Liuti, Simonetta; Mezrag, Cédric; Nadolsky, Pavel; Nocera, Emanuele R.; Olness, F.; Qiu, Jian; Radici, Marco; Radyushkin, Anatoly; Rajan, Abha; Rogers, T. C.; Rojo, Juan; Schierholz, G.; Yuan, C.–P.; Zhang, Jian Hui; Zhang, Rui

doi:10.1016/j.ppnp.2021.103908

Cited by 119 publications

(54 citation statements)

References 434 publications

(538 reference statements)

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“…In fact, our operator has the structure λβργ G µα (z)G ργ (0), where G(z) and G(0) is the same field. As we will see in section 2.5, this imposes two relations (2.28), (2.33) between some invariant amplitudes M parametrizing M (2) µα;λβ and invariant amplitudes entering into M (1) µα;λβ . One may also incorporate the symmetry properties of M µα;λβ (z, p) with respect to z. Namely, since M µα;λβ (z, p) is odd in z, the invariant amplitudes M sp , M ps , M pzsz , M szpz , M zp , M pz are odd functions of ν, while the remaining ones are even functions of ν.…”

Section: Jhep02(2022)193mentioning

confidence: 96%

“…To extract polarized gluon distributions of a nucleon, we consider matrix elements of bilocal operators G µα (z) G λβ (0) composed of two gluon fields, with the dual field defined by G λβ = 1 2 λβργ G ργ . The matrix elements are specified by…”

Section: Definitionsmentioning

confidence: 99%

“…Lattice calculations devoted to extraction of the parton distribution functions (PDFs) have attracted recently a considerable interest (see refs. [1,2] for reviews and references). Starting with the paper [3] by X. Ji, modern efforts aim at directly getting PDFs f (x) as functions of the momentum fraction variable x rather than just calculating their x N moments.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Polarized gluon pseudodistributions at short distances

Balitsky

Morris

Radyushkin

2022

J. High Energ. Phys.

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We formulate the basic points of the pseudo-PDF approach to the lattice calculation of polarized gluon PDFs. We present the results of our calculations of the one-loop corrections for the bilocal Gμα(z)$$ \overset{\sim }{G} $$ G ~ λβ (0) correlator of gluonic fields. Expressions are given for a general situation when all four indices are arbitrary, and also for specific combinations of indices corresponding to three matrix elements that contain the twist-2 invariant amplitude related to the polarized PDF. We study the evolution properties of these matrix elements, and derive matching relations between Euclidean and light-cone Ioffe-time distributions. These relations are necessary for extraction of the polarized gluon distributions from the lattice data.

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Section: Jhep02(2022)193mentioning

confidence: 96%

Section: Definitionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Polarized gluon pseudodistributions at short distances

Balitsky

Morris

Radyushkin

2022

J. High Energ. Phys.

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“…In [115][116][117] one can find reviews of all the aforementioned lattice approaches to the extraction of light cone PDFs.…”

Section: Introductionmentioning

confidence: 99%

The continuum and leading twist limits of parton distribution functions in lattice QCD

Karpie

Orginos

Radyushkin

et al. 2021

J. High Energ. Phys.

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In this study, we present continuum limit results for the unpolarized parton distribution function of the nucleon computed in lattice QCD. This study is the first continuum limit using the pseudo-PDF approach with Short Distance Factorization for factorizing lattice QCD calculable matrix elements. Our findings are also compared with the pertinent phenomenological determinations. Inter alia, we are employing the summation Generalized Eigenvalue Problem (sGEVP) technique in order to optimize our control over the excited state contamination which can be one of the most serious systematic errors in this type of calculations. A crucial novel ingredient of our analysis is the parameterization of systematic errors using Jacobi polynomials to characterize and remove both lattice spacing and higher twist contaminations, as well as the leading twist distribution. This method can be expanded in further studies to remove all other systematic errors.

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“…Less than a decade ago, a breakthrough was made by large-momentum effective theory (LaMET) [3][4][5], which starts from a Euclidean "quasi-PDF" (qPDF) in a boosted hadron and calculates the PDF through a largemomentum expansion and perturbative matching of the qPDF in the Bjorken-x (the longitudinal momentum fraction) space. Over the past years, LaMET has led to much progress in the calculations of PDFs and other parton physics [5,6], which reinvigorated the field as other proposals are also being studied and implemented [7][8][9][10][11][12][13]. After considerable development, especially in lattice renormalization [14][15][16][17][18][19] and perturbative matching at next-to-next-to-leading order (NNLO) [20,21], the LaMET approach is entering the stage where the systematic errors [22] are both controllable and improvable.…”

mentioning

confidence: 99%

Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order

Gao,

Hanlon,

Mukherjee

et al. 2021

Preprint

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We develop a procedure to renormalize the quasi parton distribution in the recently proposed hybrid scheme, which features a Wilson-line mass subtraction at large distance in coordinate space, and match it to the MS scheme light-cone parton distribution at next-to-next-to-leading order in perturbation theory. For the first time we apply this procedure to the calculation of pion valence quark distribution using two fine lattices with spacing a = 0.04 fm and 0.06 fm and valence pion mass mπ = 300 MeV, at boost momentum as large as 2.42 GeV. We demonstrate that perturbative matching in the Bjorken-x space yields reliable determination of the valence quark distribution for 0.03 x 0.80 with 5-20% uncertainty.

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Parton distributions and lattice-QCD calculations: Toward 3D structure

Cited by 119 publications

References 434 publications

Polarized gluon pseudodistributions at short distances

Polarized gluon pseudodistributions at short distances

The continuum and leading twist limits of parton distribution functions in lattice QCD

Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order

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