The pion light-cone distribution amplitude (LCDA) is an essential non-perturbative input for a range of high-energy exclusive processes in quantum chromodynamics. Building upon previous work, I will describe the calculation of the fourth Mellin moment of the pion LCDA in the continuum using the heavy-quark operator product expansion (HOPE) method.
Among other approaches developed in recent years, four-point functions provide access to the $x$ dependence of parton distribution functions (PDFs). One of the corresponding methods is often referred to as the lattice cross section (LCS) approach: in this method, hadronic matrix elements of two local quark-bilinears located at equal time are factorized in terms of a PDF and a perturbative...
We perform the first quantum computation of parton distribution function (PDF) with a real quantum device by calculating the PDF of the lightest positronium in the Schwinger model with IBM quantum computers. The calculation uses 10 qubits for staggered fermions at five spatial sites and one ancillary qubit. The most critical and challenging step is to reduce the number of two-qubit gate depths...
We propose a framework for the reconstruction of parton distribution functions (PDFs) and generalized parton distributions (GPDs) from lattice QCD, utilizing artificial neural networks (ANNs). Our approach combines two complementary methodologies: the Large Momentum Effective Theory (LaMET) and the short-distance operator expansion (SDE). To determine ANN-based PDFs and GPDs, we achieve a...