Progress in calculation of the fourth Mellin moment of the pion light-cone distribution amplitude using the HOPE method

TL;DR

This paper reports progress in calculating the fourth Mellin moment of the pion's light-cone distribution amplitude using lattice QCD and the HOPE method, advancing understanding of non-perturbative QCD effects.

Contribution

It introduces a novel application of the HOPE method to compute higher Mellin moments of the pion LCDA in lattice QCD.

Findings

First lattice QCD calculation of the fourth Mellin moment

Improved understanding of pion structure in QCD

Methodological advancements in non-perturbative calculations

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. This article describes the progress in the lattice QCD calculation of the fourth Mellin moment of the pion LCDA using a heavy-quark operator product expansion (HOPE).