{"paper":{"title":"$\\mathrm{O}(a)$ improvement of the flavour singlet scalar density in a setup with Wilson fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Fabian Joswig, Jochen Heitger, Pia Leonie Jones Petrak","submitted_at":"2025-02-12T21:20:55Z","abstract_excerpt":"We report on our Ward identity determination of the $\\mathrm{O}(a)$ improvement coefficient for the flavour singlet scalar density, namely $g_\\mathrm{S}$, from three-flavour lattice QCD with Wilson-clover fermions and the tree-level Symanzik improved gauge action. We employ five couplings, $g_0^2 \\in [1.5,1.77]$, that cover the range used in large-volume CLS simulations. While $g_\\mathrm{S}$ itself is for instance relevant for the $\\mathrm{O}(a)$ improvement of meson and baryon sigma terms, a relation to $b_\\mathrm{g}$, the $\\mathrm{O}(a)$ improvement parameter of the gauge coupling, can also "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.08797","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/2502.08797/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"}