{"paper":{"title":"Masses and decay constants of the $\\eta$ and $\\eta^\\prime$ mesons from lattice QCD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Andreas Sch\\\"afer, Gunnar S. Bali, Jakob Simeth, Sara Collins, Vladimir Braun","submitted_at":"2021-06-09T21:25:38Z","abstract_excerpt":"We determine the masses, the singlet and octet decay constants as well as the anomalous matrix elements of the $\\eta$ and $\\eta^\\prime$ mesons in $N_f=2+1$ QCD\\@. The results are obtained using twenty-one CLS ensembles of non-perturbatively improved Wilson fermions that span four lattice spacings ranging from $a\\approx 0.086\\,$fm down to $a\\approx 0.050\\,$fm. The pion masses vary from $M_{\\pi}=420\\,$MeV to $126\\,$MeV and the spatial lattice extents $L_s$ are such that $L_sM_\\pi\\gtrsim 4$, avoiding significant finite volume effects. The quark mass dependence of the data is tightly constrained b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.05398","kind":"arxiv","version":3},"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/2106.05398/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"}