The distribution amplitude of the ?c-meson at leading twist from lattice QCD

Blossier B. Brinet M. Morgado J.M. San Jose T. San Jose T.
Journal of High Energy Physics
Doi 10.1007/JHEP09(2024)079
Volumen 2024
2024-09-01
Citas: 3
Abstract
© The Author(s) 2024.Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes. Recently, new ideas have allowed their computation using lattice QCD, which should provide us with a general, fully relativistic determination. We present the first lattice calculation of the ?c-meson distribution amplitude at leading twist. Starting from the relevant matrix element in discrete Euclidean space on a set of Nf = 2 CLS ensembles, we explain the method to connect to continuum Minkowski spacetime. After addressing several sources of systematic uncertainty, we compare to Dyson-Schwinger and non-relativistic QCD determinations of this quantity. We find significant deviations between the latter and our result even at small Ioffe times.
Hadronic Spectroscopy, Lattice QCD, Parton Distributions, Structure and Interactions
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