The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for the calculation of high-energy exclusive processes in quantum chromodynamics.
In this article, we discuss the calculation of the second and fourth Mellin moment of the pion LCDA using a heavy-quark operator product expansion. The resulting value for the second Mellin moment is $ \langle{ \xi^2 }\rangle(\mu = 2~\text{GeV})= 0.210 \pm 0.013\text{ (stat.)} \pm 0.034\text{ (sys.)}$.
This result is compatible with those from previous determinations of this quantity.
Volume 396 -
The 38th International Symposium on Lattice Field Theory (LATTICE2021) -
Oral presentation
Progress in the determination of Mellin moments of the pion LCDA using the HOPE method
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Pre-published on:
May 16, 2022
Published on:
July 08, 2022
Abstract
DOI: https://doi.org/10.22323/1.396.0488
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.