{"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/rge-solver-for-the-complete-dim-7-smeft","title":"RGE solver for the complete dim-7 SMEFT interactions and its application to $0νββ$ decay","arxiv_id":"2505.06499","date":"2025-05-10","proceeding":null,"authors":["Yi Liao","Xiao-Dong Ma","Hao-Lin Wang","Xiang Zhao"],"abstract":"We present an automatic renormalization group equations (RGEs) solver, D7RGESolver, designed for the precise numerical solution of one-loop RGEs of dimension-7 (dim-7) operators within the standard model effective field theory (SMEFT). This tool is capable of calculating the RGE effects of dim-5 and dim-7 SMEFT operators between any two scales above the electroweak scale. We take the nuclear neutrinoless double beta ($0\\nu\\beta\\beta$) decay process as an example to appreciate the importance of the running effects in phenomenological studies. Our analysis demonstrates that $0\\nu\\beta\\beta$ decay can constrain nearly all dim-7 SMEFT operators involving first-generation leptons that violate lepton number by two units, after accounting for RGE effects. Specifically, we have placed meaningful constraints on 55 dim-7 Wilson coefficients, compared to only 10 from a simple tree-level analysis. Certain operators exhibit much stricter constraints when RGE effects are included, especially for the operators that mix with neutrino mass operators. We provide a complete code documentation for D7RGESolver, along with examples of its usage and interfacing with external automated codes for calculating $0\\nu\\beta\\beta$ decay. The D7RGESolver code is available at: \\href{https://github.com/ZhaoXiang210/D7RGESolver}{Github: D7RGESolver}","url_abs":"https://arxiv.org/abs/2505.06499v1","url_pdf":"https://arxiv.org/pdf/2505.06499v1.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":"rge-solver-for-the-complete-dim-7-smeft","repo_url":"https://github.com/zhaoxiang210/d7rgesolver","is_official":1,"mentioned_in_paper":1,"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}