Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude

Detmold, Will; Grebe, Anthony; Kanamori, Issaku; Lin, C.-J. David; Mondal, Santanu; Perry, Robert J.; Zhao, Yong

doi:10.1103/physrevd.105.034506

Cited by 24 publications

(24 citation statements)

References 46 publications

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“…Early numerical studies have commenced, and preliminary results for the fourth moment are discussed in Ref. [28]. The success of this approach for the LCDA also suggests that the HOPE method can be applied to the study of other light cone quantities.…”

Section: Discussionmentioning

confidence: 99%

“…with p = p e + p m and τ = τ e − τ m , allowing one to extract R µν (τ ; p, q) = 2E π (p)C µν 3 (τ e , τ m ; p e , p m ) Z π (p)e −Eπ(p)(τe+τm)/2 (28) from the two-and three-point correlators. From this and Eq.…”

Section: B the Correlation Functionsmentioning

confidence: 99%

“…The isospin limit is used for the calculation presented in this article 2. Preliminary results from this calculation have been presented in contributions to the proceedings of recent lattice conferences[26][27][28].…”

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confidence: 99%

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Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude

Detmold,

Grebe,

Kanamori

et al. 2021

Preprint

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The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for high-energy exclusive processes in quantum chromodynamics. In this article, the second Mellin moment of the pion LCDA is determined as a proof-of-concept calculation for the first numerical implementation of the heavy-quark operator product expansion (HOPE) method. The resulting value for the second Mellin moment, determined in quenched QCD at a pion mass of m π = 550 MeV at a factorization scale of 2 GeV is ξ 2 = 0.210 ± 0.013 (stat.) ± 0.034 (sys.). This result is compatible with those from previous determinations of this quantity.

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Section: Discussionmentioning

confidence: 99%

Section: B the Correlation Functionsmentioning

confidence: 99%

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Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude

Detmold,

Grebe,

Kanamori

et al. 2021

Preprint

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“…Preliminary results on the second moment of the pion DA using heavy quark OPE, can be found in the proceedings of Ref. [30].…”

Section: Leading-twist Pdfsmentioning

confidence: 99%

The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD

Constantinou

2020

Preprint

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In this article, we review recent lattice calculations on the x-dependence of parton distributions, with the latter providing information on hadron structure. These calculations are based on matrix elements of boosted hadrons coupled to non-local operators and can be related to the standard, light-cone distribution functions via an appropriate factorization formalism. There is significant progress in several directions, including calculations of flavor singlet parton distribution functions (PDFs), first calculations of generalized parton distributions (GPDs), as well as the implementation of some of the approaches for the transverse-momentum-dependent PDFs (TMD PDFs). This new direction of lattice calculations is particularly interesting for phenomenological fits on experimental data sets, as the lattice results can help to improve the constraints on the distribution functions.

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“…The HOPE method uses the product of two heavy-to-light currents, where the heavy quark is quenched and its large mass gives further control of the power expansion compared to the OPE with light currents. This paper presents the theoretical background to the HOPE method, and serves as the companion paper to our numerical work [13] where the first lattice results using this approach are presented. As the HOPE approach is based on a modified OPE relation, a necessary step in the calculation is the determination of the Wilson coefficients beyond tree level which allows one to account for renormalization scheme and scale dependence more precisely and also improve the precision of the extracted local matrix elements.…”

Section: Introductionmentioning

confidence: 99%

Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients

Detmold,

Grebe,

Kanamori

et al. 2021

Preprint

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Parton distribution functions (PDFs) and light-cone distribution amplitudes (LCDAs) are central non-perturbative objects of interest in high-energy inelastic and elastic scattering, respectively. As a result, an ab-initio determination of these objects is highly desirable. In this paper we present theoretical details required for the calculation of the moments of the PDF and LCDA using a heavyquark operator product expansion method. This article also provides results of the relevant Wilson coefficients for the unpolarized PDF, helicity PDF and meson LCDA which are an essential ingredient in this approach. In addition, we discuss the use of our method to determine the dependence on the parton momentum fraction ξ in the PDFs and LCDAs through a matching condition between these quantities and the relevant hadronic amplitudes.

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Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude

Cited by 24 publications

References 46 publications

Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude

Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude

The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD

Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients

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