Speaker
Description
Computing the parton distribution functions (PDFs) of hadrons from lattice QCD poses well known challenges due to the theory being formulated on discrete Euclidean spacetime. For example, power divergent mixing due to the reduced symmetry of the lattice theory precludes obtaining Mellin moments of PDFs starting at <x^4> or higher, and requires the use of boosted states with poor signal-to-noise properties for <x^2> and <x^3>. In this work, we implement and test a recent proposal [1] to use gradient flow to circumvent the power divergent mixing problem. We present preliminary results on the first few moments of the unpolarized flavor non-singlet PDF of the pion in the MSbar scheme, using ensembles at the SU(3) flavor symmetric point, generated with stabilized Wilson fermions by the OpenLat Initiative.
[1] Moments of parton distribution functions of any order from lattice QCD, Andrea Shindler, arXiv:2311.18704
