Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of Mellin moments for the pion distribution amplitude

William Detmold^1,2, Anthony V. Grebe¹, Issaku Kanamori³, C.-J. David Lin^4,5,6, Santanu Mondal⁷, Robert Perry^4,5*, 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, email:perryrobertjames@gmail.com

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