arXiv:2605.29998·v1·High Energy Physics — Lattice
Higher Mellin Moments of the Unpolarized PDF of the Pion and the Kaon from Lattice QCD
Constantia Alexandrou (Univ. of Cyprus and The Cyprus Inst.)🇨🇾 · Simone Bacchio (The Cyprus Inst.)🇨🇾 · Priyajit Jana (Univ. of Cyprus and The Cyprus Inst.)🇨🇾 · Marcus Petschlies (Univ. of Bonn)🇩🇪 · Luis Alberto Rodriguez Chacon (The Cyprus Inst. and Univ. of Ferrara)🇨🇾 · Gregoris Spanoudes (Univ. of Cyprus)🇨🇾 · Fernanda Steffens (Univ. of Bonn)🇩🇪 · Carsten Urbach (Univ. of Bonn)🇩🇪 · Urs Wenger (Univ. of Bern)🇨🇭
Abstract
We present results on the Mellin moments of the unpolarized parton distribution function (PDF) of the pion and kaon up to the fourth order. The computation is done using one gauge ensemble of twisted mass fermions with quark masses tuned to approximately their physical values. We reconstruct the valence pion and kaon PDFs using the connected contributions to the three Mellin moments. We compare our results on the Mellin moments and the reconstructed PDFs with other lattice QCD and phenomenological determinations.
Comments: 14 pages and 14 figures