RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decay
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2025)138 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849226734000406528 |
|---|---|
| author | Yi Liao Xiao-Dong Ma Hao-Lin Wang Xiang Zhao |
| author_facet | Yi Liao Xiao-Dong Ma Hao-Lin Wang Xiang Zhao |
| author_sort | Yi Liao |
| collection | DOAJ |
| description | 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 (0νββ) decay process as an example to appreciate the importance of the running effects in phenomenological studies. Our analysis demonstrates that 0νββ 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 0νββ decay. The D7RGESolver code is available at: Github: D7RGESolver |
| format | Article |
| id | doaj-art-94f05f7c8eea471c824956ac2b5372a0 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-94f05f7c8eea471c824956ac2b5372a02025-08-24T11:04:25ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025813010.1007/JHEP08(2025)138RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decayYi Liao0Xiao-Dong Ma1Hao-Lin Wang2Xiang Zhao3State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal UniversityState Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal UniversityState Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal UniversityState Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal UniversityAbstract 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 (0νββ) decay process as an example to appreciate the importance of the running effects in phenomenological studies. Our analysis demonstrates that 0νββ 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 0νββ decay. The D7RGESolver code is available at: Github: D7RGESolverhttps://doi.org/10.1007/JHEP08(2025)138Baryon/Lepton Number ViolationRenormalization GroupSMEFT |
| spellingShingle | Yi Liao Xiao-Dong Ma Hao-Lin Wang Xiang Zhao RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decay Journal of High Energy Physics Baryon/Lepton Number Violation Renormalization Group SMEFT |
| title | RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decay |
| title_full | RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decay |
| title_fullStr | RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decay |
| title_full_unstemmed | RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decay |
| title_short | RGE solver for the complete dim-7 SMEFT interactions and its application to 0νββ decay |
| title_sort | rge solver for the complete dim 7 smeft interactions and its application to 0νββ decay |
| topic | Baryon/Lepton Number Violation Renormalization Group SMEFT |
| url | https://doi.org/10.1007/JHEP08(2025)138 |
| work_keys_str_mv | AT yiliao rgesolverforthecompletedim7smeftinteractionsanditsapplicationto0nbbdecay AT xiaodongma rgesolverforthecompletedim7smeftinteractionsanditsapplicationto0nbbdecay AT haolinwang rgesolverforthecompletedim7smeftinteractionsanditsapplicationto0nbbdecay AT xiangzhao rgesolverforthecompletedim7smeftinteractionsanditsapplicationto0nbbdecay |