Quasi-parton distribution functions: A study in the diquark spectator model

Leonard Gamberg, Zhong Bo Kang, Ivan Vitev, Hongxi Xing

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

A set of quasi-parton distribution functions (quasi-PDFs) have been recently proposed by Ji. Defined as the matrix elements of equal-time spatial correlations, they can be computed on the lattice and should reduce to the standard PDFs when the proton momentum Pz is very large. Since taking the Pz→∞ limit is not feasible in lattice simulations, it is essential to provide guidance for which values of Pz the quasi-PDFs are good approximations of standard PDFs. Within the framework of the spectator diquark model, we evaluate both the up and down quarks' quasi-PDFs and standard PDFs for all leading-twist distributions (unpolarized distribution f1, helicity distribution g1, and transversity distribution h1). We find that, for intermediate parton momentum fractions x, quasi-PDFs are good approximations to standard PDFs (within 20-30%) when Pz≥1.5-2 GeV. On the other hand, for large x~1 much larger Pz>4 GeV is necessary to obtain a satisfactory agreement between the two sets. We further test the Soffer positivity bound, and find that it does not hold in general for quasi-PDFs.

Original languageEnglish (US)
Pages (from-to)112-120
Number of pages9
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume743
DOIs
StatePublished - Apr 9 2015

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partons
distribution functions
momentum
approximation
quarks
protons
matrices
simulation

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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title = "Quasi-parton distribution functions: A study in the diquark spectator model",
abstract = "A set of quasi-parton distribution functions (quasi-PDFs) have been recently proposed by Ji. Defined as the matrix elements of equal-time spatial correlations, they can be computed on the lattice and should reduce to the standard PDFs when the proton momentum Pz is very large. Since taking the Pz→∞ limit is not feasible in lattice simulations, it is essential to provide guidance for which values of Pz the quasi-PDFs are good approximations of standard PDFs. Within the framework of the spectator diquark model, we evaluate both the up and down quarks' quasi-PDFs and standard PDFs for all leading-twist distributions (unpolarized distribution f1, helicity distribution g1, and transversity distribution h1). We find that, for intermediate parton momentum fractions x, quasi-PDFs are good approximations to standard PDFs (within 20-30{\%}) when Pz≥1.5-2 GeV. On the other hand, for large x~1 much larger Pz>4 GeV is necessary to obtain a satisfactory agreement between the two sets. We further test the Soffer positivity bound, and find that it does not hold in general for quasi-PDFs.",
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Quasi-parton distribution functions : A study in the diquark spectator model. / Gamberg, Leonard; Kang, Zhong Bo; Vitev, Ivan; Xing, Hongxi.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 743, 09.04.2015, p. 112-120.

Research output: Contribution to journalArticle

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