Parton physics from a heavy-quark operator product expansion: Dynamical lattice QCD calculation of moments of the pion and kaon light-cone distribution amplitude

S.-P. Alex Chang^1*, Anthony V. Grebe⁴, Issaku Kanamori³, Robert J. Perry², Yong Zhao⁵, William Detmold², C.-J. David Lin¹

¹Institute of Physics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
²Center for Theoretical Physics – a Leinweber Institute, Massachusetts Institute of Technology, MA, USA
³RIKEN Center for Computation, Kobe, Japan
⁴Fermi National Accelerator Laboratory, IL, USA
⁵Physics Division,, Argonne National Laboratory, IL, USA

* Presenter:S.-P. Alex Chang, email:s44930e0@gmail.com

The light-cone distribution amplitude (LCDA) is a fundamental non-perturbative quantity for understanding hadron structure. We report on our calculation of the pion and kaon LCDAs using the heavy-quark operator product expansion (HOPE) framework. This method employs an OPE analysis of hadronic amplitudes through the inclusion of a fictitious valence heavy quark, and has previously been shown to be a viable method to compute the second and fourth Mellin moments of the pion in the quenched approximation. In this talk we present preliminary results for the first three nontrivial Mellin moments of the kaon LCDA, as well as the second moment of the pion LCDA, from dynamical calculations using the CLS ensembles. This work demonstrates the feasibility of the HOPE method for accessing higher moments of meson LCDAs from lattice QCD.

Keywords: Hadron Structure, Lattice QCD, Light-cone Distribution Amplitude, Heavy-quark Operator Product Expansion