Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit

Xiang, Gao; Jin, Luchang; Kallidonis, Christos; Karthik, Nikhil; Mukherjee, Swagato; Petreczky, Péter; Shugert, Charles; Syritsyn, Sergey; Zhao, Yong

doi:10.1103/physrevd.102.094513

Cited by 95 publications

(169 citation statements)

References 84 publications

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“…And the analysis from current-current correlation in LQCD [14] predicts α v = 0.78 (11)(3) at Q 2 = 4 GeV 2 . The PDFs of the pion and the kaon determined in this work are consistent with the predictions of Regge theory [63,64] and LQCD approach [14][15][16].…”

Section: This Worksupporting

confidence: 85%

“…The large-x behavior of valence quark distribution is an interesting topic in theory, which can be calculated with LQCD [14][15][16], quark number counting rule [62,63], and perturbative QCD predictions [36][37][38]. The large-x behavior is usually described by,…”

Section: This Workmentioning

confidence: 99%

“…Our results are consistent with the counting rule for the valence quark distribution and the gluon distribution. The recent LQCD calculation based on LaMET (Large Momentum Effective Theory) framework predicts β v = 1.53 [16]. Another recent LQCD calculation using the reduced Ioffe-time pseudodistributions predicts β v = 1.08(41)(11) at Q 2 = 4 GeV 2 [15].…”

Section: This Workmentioning

confidence: 99%

“…With the resummation of double logarithms, the Regge theory then gives α = 0.63 for valence quark distributions, and α = −0.2 for sea quark and gluon distributions. The state-of-the-art LQCD calculation based on LaMET predicts α v = 0.45 +(11)(09) −(08)(09) at Q 2 = 10 GeV 2 [16]. Another recent LQCD calculation based on pseudo-PDFs predicts α v = 0.52(14)(4) at Q 2 = 4 GeV 2 [15].…”

Section: This Workmentioning

confidence: 99%

“…Parton distribution functions (PDFs) display the longitudinal momentum structure of the quarks and gluons in the infinite momentum frame. In theory, there are quite a lot of methods giving pion and kaon PDFs, such as lattice QCD (LQCD) [12][13][14][15][16], Dyson-Schwinger Equations (DSE) [17][18][19], holographic QCD [20], light-front quantization [21], and the constituent quark model [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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An analysis of parton distribution functions of the pion and the kaon with the maximum entropy input

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We present pion and kaon parton distribution functions from a global QCD analysis of the experimental data within the framework of dynamical parton model. We use the DGLAP equations with parton–parton recombination corrections and the valence input of uniform distribution which maximizes the information entropy. At our input scale $$Q_0^2$$ Q 0 2 , there are no sea quark and gluon distributions. All the sea quarks and gluons of the pion and the kaon are completely generated from the parton splitting processes. The mass-dependent parton splitting kernel is applied for the strange quark distribution in the kaon. The obtained valence quark and sea quark distributions at high $$Q^{2}$$ Q 2 ($$Q^2>5$$ Q 2 > 5 GeV$$^2$$ 2 ) are compatible with the existed experimental measurements. Furthermore, the asymptotic behaviours of parton distribution functions at small and large x have been studied for both the pion and the kaon. Lastly, the first three moments of parton distributions at high $$Q^{2}$$ Q 2 scale are calculated, which are consistent with other theoretical predictions.

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Section: This Worksupporting

confidence: 85%

Section: This Workmentioning

confidence: 99%

Section: This Workmentioning

confidence: 99%

Section: This Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An analysis of parton distribution functions of the pion and the kaon with the maximum entropy input

et al. 2021

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Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions

Debbio

Giani

Karpie

et al. 2021

J. High Energ. Phys.

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We extract two nonsinglet nucleon Parton Distribution Functions from lattice QCD data for reduced Ioffe-time pseudodistributions. We perform such analysis within the NNPDF framework, considering data coming from different lattice ensembles and dis- cussing in detail the treatment of the different source of systematics involved in the fit. We introduce a recipe for taking care of systematics and use it to perform our extraction of light-cone PDFs.

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Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions

Edwards

Egerer

Karpie

et al. 2023

J. High Energ. Phys.

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The non-singlet helicity quark parton distribution functions (PDFs) of the nucleon are determined from lattice QCD, by jointly leveraging pseudo-distributions and the distillation spatial smearing paradigm. A Lorentz decomposition of appropriately isolated space-like matrix elements reveals pseudo-distributions that contain information on the leading-twist helicity PDFs, as well as an invariant amplitude that induces an additional z2 contamination of the leading-twist signal. An analysis of the short-distance behavior of the space-like matrix elements using matching coefficients computed to next-to-leading order (NLO) exposes the desired PDF up to this additional z2 contamination. Due to the non-conservation of the axial current, we elect to isolate the helicity PDFs normalized by the nucleon axial charge at the same scale μ2. The leading-twist helicity PDFs as well as several sources of systematic error, including higher-twist effects, discretization errors, and the aforementioned z2 contaminating amplitude are jointly determined by characterizing the computed pseudo-distribution in a basis of Jacobi polynomials. The Akaike Information Criterion is exploited to effectively average over distinct model parameterizations and cuts on the pseudo-distribution. Encouraging agreement is observed with recent global analyses of each non-singlet quark helicity PDF, notably a rather small non-singlet anti-quark helicity PDF for all quark momentum fractions.

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Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit

Cited by 95 publications

References 84 publications

An analysis of parton distribution functions of the pion and the kaon with the maximum entropy input

An analysis of parton distribution functions of the pion and the kaon with the maximum entropy input

Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions

Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions

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