{"paper":{"title":"Chiral Lagrangians with $\\Delta(1232)$ to one loop","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hong-Qian Wang, Shao-Zhou Jiang, Yan-Rui Liu","submitted_at":"2017-07-31T00:56:06Z","abstract_excerpt":"We construct the Lorentz-invariant chiral Lagrangians up to the order $\\mathcal{O}(p^4)$ by including $\\Delta(1232)$ as an explicit degree of freedom. A full one-loop investigation on processes involving $\\Delta(1232)$ can be performed with them. For the $\\pi\\Delta\\Delta$ Lagrangian, one obtains 38 independent terms at the order $\\mathcal{O}(p^3)$ and 318 independent terms at the order $\\mathcal{O}(p^4)$. For the $\\pi N\\Delta$ Lagrangian, we get 33 independent terms at the order $\\mathcal{O}(p^3)$ and 218 independent terms at the order $\\mathcal{O}(p^4)$. The heavy baryon projection is also br"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09690","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}