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
W. Detmold, A. Grebe, I. Kanamori, C.J.D. Lin, S. Mondal, R. Perry*, Y. Zhao and  for the HOPE collaboration
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Pre-published on: May 16, 2022
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Abstract
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.
DOI: https://doi.org/10.22323/1.396.0488
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