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We present a lattice QCD determination of the distribution amplitude (DA) ofthe pion and the first few Mellin moments from an analysis of the quasi-DAmatrix element within the leading-twist framework. We perform our study on aHISQ ensemble with $a=0.076$ fm lattice spacing with the Wilson-Clover valencequark mass tuned to the physical point. We analyze the ratios of pion quasi-DAmatrix elements at short distances using the leading-twist Mellin operatorproduct expansion (OPE) at the next-to-leading order and the conformal OPE atthe leading-logarithmic order. We find a robust result for the firstnon-vanishing Mellin moment $\langle x^2 \rangle = 0.287(6)(6)$ at afactorization scale $\mu=2$ GeV. We also present different Ans\"atze-basedreconstructions of the $x$-dependent DA, from which we determine theperturbative leading-twist expectations for the pion electromagnetic andgravitational form-factors at large momentum transfers.

Pion distribution amplitude at the physical point using the leading-twist expansion of the quasi-distribution-amplitude matrix element