Following the proposal in [1], we study the feasibility to calculate the pion distribution amplitude (DA) from suitably chosen Euclidean correlation functions at large momentum. In our lattice study we employ the novel momentum smearing technique [2,3]. This approach is complementary to the calculations of the lowest moments of the DA using the Wilson operator product expansion and avoids mixing with lower dimensional local operators on the lattice. The theoretical status of this method is similar to that of quasi-distributions [4], which has recently been applied to the same problem in [5]. The similarities and differences between these two techniques are highlighted.
@article{arxiv.1709.04325,
title = {Pion distribution amplitude from Euclidean correlation functions},
author = {Gunnar S. Bali and Vladimir M. Braun and Benjamin Gläßle and Meinulf Göckeler and Michael Gruber and Fabian Hutzler and Piotr Korcyl and Bernhard Lang and Andreas Schäfer and Philipp Wein and Jian-Hui Zhang},
journal= {arXiv preprint arXiv:1709.04325},
year = {2018}
}