Speaker
Anthony Grebe
Description
The pion light-cone distribution amplitude (LCDA) carries information about the momentum distribution of its quarks, which is an important input to various experiments. We present a proof-of-concept lattice calculation of the second Mellin moment of the pion LCDA as the first numerical implementation of the heavy-quark operator product expansion (HOPE) method. The resulting value for the second Mellin moment, determined in quenched QCD at a pion mass of $m_\pi = 550$ MeV at a factorization scale of 2 GeV, is $\langle \xi^2 \rangle = 0.210 \pm 0.013$ (stat.) $\pm 0.034$ (sys.). This result is compatible with those from previous determinations of this quantity.
Authors
Anthony Grebe
David Lin
(National Yang Ming Chiao Tung University)
Issaku Kanamori
(R-CCS, RIKEN)
Robert Perry
Santanu Mondal
(Los Alamos National Laboratory)
William Detmold
(Massachusetts Institute of Technology)
Yong Zhao
(Brookhaven National Laboratory)
