{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/renormalisation-of-smeft-bosonic-interactions","title":"Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators","arxiv_id":"2301.07151","date":"2023-01-17","proceeding":null,"authors":["Supratim Das Bakshi","Álvaro Díaz-Carmona"],"abstract":"We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory by the Lepton Number Violating operators (LNVs) at 1-loop order up to $\\mathcal{O}(v^4/\\Lambda^4)$, with $v \\sim 246$ GeV as the electroweak scale and $\\Lambda$ as the SMEFT cut-off. Using these relations with the positivity bounds on Wilson coefficients of $\\phi^4 D^4$ class, we derive sign-constraints on the Wilson coefficients of LNV operators for models where $\\phi^4 D^4$ operators do not appear at tree-level. We inspect these constraints for the LNV Wilson coefficients generated from matching the Type-I and III seesaw models to SMEFT up to dimension seven at tree-level. We also exhibit the unique bounds induced by the T-parameter on LNVs.","url_abs":"https://arxiv.org/abs/2301.07151v2","url_pdf":"https://arxiv.org/pdf/2301.07151v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"renormalisation-of-smeft-bosonic-interactions","repo_url":"https://github.com/SMEFT-Dimension8-RGEs/Notebooks/blob/main/RGE-bosonic-dim5-dim7.nb","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}