Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of Mellin moments for the pion distribution amplitude
William Detmold1,2, Anthony V. Grebe1, Issaku Kanamori3, C.-J. David Lin4,5,6, Santanu Mondal7, Robert Perry4,5*, Yong Zhao8
1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, USA
2The NSF AI Institute for Artificial Intelligence and Fundamental Interactions, USA
3RIKEN Center for Computational Science, Kobe, Japan
4Institute of Physics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
5Center for Theoretical and Computational Physics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
6Centre for High Energy Physics, Chung-Yuan Christian University, Chung-Li, Taiwan
7Theoretical Devision T-2, Los Alamos National Labratory, Los Alamos, USA
8Physics Division, Argonne National Labratory, Lemont IL, USA
* Presenter:Robert Perry,
The pion light-cone distribution amplitude (LCDA) is a key object of interest for high-energy exclusive processes in quantum chromodynamics. In this talk, we discuss the calculation of the second Mellin moment of the pion LCDA using the heavy-quark operator product expansion (HOPE) method. The resulting value for the second Mellin moment is compatible with those from previous determinations of this quantity. The HOPE method can also be applied to extract higher moments of the LCDA, and in this talk we also describe the early progress towards calculating the fourth Mellin moment using the same approach.

Keywords: Lattice QCD, Hadronic Structure, Quantum Field Theory