Extracting the Pion Distribution Amplitude from Lattice QCD through Pseudo-Distributions
D. Kovner*, J. Karpie, K. Orginos, A. Radyushkin, S. Zafeiropoulos and for the HadStruc collaboration
Pre-published on:
May 02, 2024
Published on:
November 06, 2024
Abstract
The Light-Cone Distribution Amplitude (LCDA) encodes the non-perturbative information of the leading Fock component of the hadron wave function, therefore required for processes including exclusive hadron production. As the Pseudo-Nambu-Goldstone boson of QCD, the nonperturbative structure of the pion is of particular interest. Progress on the Lattice QCD calculation of the pion LCDA on ${\cal O}(a)$-improved Wilson fermion ensembles at several lattice spacings is presented. Excited-state systematics are taken into account within a Bayesian Model Averaging framework. A Renormalization-Group-Invariant (RGI) ratio of matrix elements is formed for further extraction of the pion LCDA.
DOI: https://doi.org/10.22323/1.453.0300
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