Progress in the determination of Mellin moments of the pion LCDA using the HOPE method

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 $⟨{\xi }^2⟩(\mu =2\text{GeV})=0.210\pm 0.013\text{ (stat.)}\pm 0.034\text{ (sys.)}$. This result is compatible with those from previous determinations of this quantity.

Comments: 17 pages, 8 Figures, 3 Tables; Talk presented at The 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology