Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD

Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon; Göckeler, M.; Gruber, Michael; Hutzler, Fabian; Korcyl, Piotr; Schäfer, Andreas; Sternbeck, André; Wein, Philipp

doi:10.1007/jhep08(2019)065

Cited by 106 publications

(118 citation statements)

References 138 publications

(219 reference statements)

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“…Recently, it was obtained in Ref. [1] with an unprecedented accuracy (for earlier results see Refs. [2,3]).…”

Section: Introductionmentioning

confidence: 95%

“…A useful compilation can be found in Ref. [1] (see Table IV there). We start from the determinations of a 2 that are independent of the experimental data and not correlated with higher moments.…”

Section: Estimates Of the Gegenbauer Momentsmentioning

confidence: 99%

“…However, the Jefferson Lab measurements are limited to relatively small momentum transfers, jq 2 j ≲ 2.5 GeV 2 and depend on the model description of the intermediate pion coupled to the nucleon. 1 The pion e.m. form factor F π ðsÞ in the timelike region q 2 ¼ s > 4m 2 π is directly accessible measuring the e þ e − → π þ π − cross section at a given c.m. energy ffiffi ffi s p of the e þ e − collision.…”

Section: Introductionmentioning

confidence: 99%

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Pion light-cone distribution amplitude from the pion electromagnetic form factor

2020

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We suggest to probe the pion light-cone distribution amplitude, applying a dispersion relation for the pion electromagnetic form factor. Instead of the standard dispersion relation, we use the equation between the spacelike form factor F π ðQ 2 Þ and the integrated modulus of the timelike form factor. For F π ðQ 2 Þ, the QCD light-cone sum rule with a dominant twist-2 term is used. Adopting for the pion twist-2 distribution amplitude a certain combination of the first few Gegenbauer polynomials, it is possible to fit their coefficients a 2;4;6;::. (Gegenbauer moments) from this equation, employing the measured pion timelike form factor. For the exploratory fit we use the data of the BABAR collaboration. The results definitely exclude the asymptotic twist-2 distribution amplitude. Also the model with a single a 2 ≠ 0 is disfavored by the fit. Considering the models with a n>2 ≠ 0, we find that the fitted values of the second and fourth Gegenbauer moments cover the intervals a 2 ð1 GeVÞ ¼ ð0.22-0.33Þ, a 4 ð1 GeVÞ ¼ ð0.12-0.25Þ. The higher moments starting from a 8 are consistent with zero, albeit with large uncertainties. The spacelike pion form factor obtained in two different ways, from the dispersion relation and from the light-cone sum rule, agrees, within uncertainties, with the measurement by the Jefferson Lab F π collaboration.

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“…Recently, it was obtained in Ref. [1] with an unprecedented accuracy (for earlier results see Refs. [2,3]).…”

Section: Introductionmentioning

confidence: 95%

Section: Estimates Of the Gegenbauer Momentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Pion light-cone distribution amplitude from the pion electromagnetic form factor

2020

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“…Although significant achievements in the lattice QCD implementations of these approaches have been made in recent years [37][38][39][40][41][42][43][44][45][46][47][48], a proper understanding and control-ling various sources of systematics in these calculations still require further exploration and theoretical development. The status of current lattice QCD calculations of the x-dependent hadronic structure can be found in the following review articles [49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Pion valence structure from Ioffe-time parton pseudodistribution functions

et al. 2019

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We present a calculation of the pion valence quark distribution extracted using the formalism of reduced Ioffe time pseudo-distributions or more commonly known as pseudo-PDFs. Our calculation is carried out on two different 2+1 flavor QCD ensembles using the isotropic-clover fermion action, with lattice dimensions 24 3 × 64 and 32 3 × 96 at the lattice spacing of a = 0.127 fm, and with the quark mass equivalent to a pion mass of mπ 415 MeV. We incorporate several combinations of smeared-point and smeared-smeared pion source-sink interpolation fields in obtaining the lattice QCD matrix elements using the summation method. After one-loop perturbative matching and combining the pseudo-distributions from these two ensembles, we extract the pion valence quark distribution using a phenomenological functional form motivated by the global fits of parton distribution functions. We also calculate the lowest four moments of the pion quark distribution through the "OPE without OPE". We present a qualitative comparison between our lattice QCD extraction of the pion valence quark distribution with that obtained from global fits and previous lattice QCD calculations.arXiv:1909.08517v1 [hep-lat]

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“…A calculation on a Euclidean lattice is therefore not possible. Previously, the Mellin moments of PDFs and Distribution Amplitudes (DA) of baryons and mesons have been calculated with Lattice QCD [2][3][4][5][6][7], but the reduced rotational symmetry of the lattice only allowed access to the lowest few moments. Unfortunately more moments than are available are required for an accurate reconstruction of the x dependence of the nucleon PDF [8].…”

Section: Introductionmentioning

confidence: 99%

Parton distribution functions from Ioffe time pseudo-distributions

Joó

Karpie

Orginos

et al. 2019

J. High Energ. Phys.

103

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In this paper, we present a detailed study of the unpolarized nucleon parton distribution function (PDF) employing the approach of parton pseudo-distribution functions. We perform a systematic analysis using three lattice ensembles at two volumes, with lattice spacings a = 0.127 fm and a = 0.094 fm, for a pion mass of roughly 400 MeV. With two lattice spacings and two volumes, both continuum limit and infinite volume extrapolation systematic errors of the PDF are estimated. In addition to the x dependence of the PDF, we compute their first two moments and compare them with the pertinent phenomenological determinations.

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Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD

Cited by 106 publications

References 138 publications

Pion light-cone distribution amplitude from the pion electromagnetic form factor

Pion light-cone distribution amplitude from the pion electromagnetic form factor

Pion valence structure from Ioffe-time parton pseudodistribution functions

Parton distribution functions from Ioffe time pseudo-distributions

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