{"paper":{"title":"Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Andrew Gasbarro, Bartosz Kostrzewa, Carsten Urbach, Constantia Alexandrou, Ferenc Pittler, Fernanda Steffens, Georg Bergner, Jacob Finkenrath, Karl Jansen, Konstantin Ottnad, Kyriakos Hadjiyiannakou, Marcus Petschlies, Simone Bacchio, Urs Wenger","submitted_at":"2021-09-22T12:40:02Z","abstract_excerpt":"We perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with $N_f=2 + 1 +1$ Wilson twisted mass clover fermions at maximal twist tuned to reproduce the physical pion mass. We present our results in the $\\overline{\\mathrm{MS}}$ scheme at $2\\gev$. We find $\\avgx_{u+d}=0.601(28)$, $\\avgx_s=0.059(13)$, $\\avgx_c=0.019(05)$, and $\\avgx_g=0.52(11)$ for the separate contributions, respectively, whose sum saturates the momentum sum rule."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.10692","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.10692/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}