{"paper":{"title":"Leading QCD-induced four-loop contributions to the $\\beta$-function of the Higgs self-coupling in the SM and vacuum stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"K. G. Chetyrkin, M. F. Zoller","submitted_at":"2016-04-04T13:36:13Z","abstract_excerpt":"We present analytical results for the leading top-Yukawa and QCD contribution to the $\\beta$-function for the Higgs self-coupling $\\lambda$ of the Standard Model at four-loop level, namely the part $\\propto y_t^4 g_s^6$ independently confirming a result given in [1]. We also give the contribution $\\propto y_t^2 g_s^6$ of the anomalous dimension of the Higgs field as well as the terms $\\propto y_t g_s^8$ to the top-Yukawa $\\beta$-function which can also be derived from the anomalous dimension of the top quark mass. We compare the results with the RG functions of the correlators of two and four "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00853","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"}