Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators Das Bakshi, Supratim Díaz Carmona, Álvaro Effective Field Theories Renormalization and Regularization Renormalization group We thank Mikael Chala for the suggestions and discussions. We also thank José Santiago and Pablo Olgoso for help with MatchMakerEFT [56], and Guilherme Guedes, Anisha and Maria Ramos for comments on the manuscript. This work is partly supported by SRA (Spain) under Grant No. PID2019-106087GB-C21 / 10.13039/501100011033 and PID2021-128396NB-100; by the Junta de Andalucía (Spain) under Grants No. FQM- 101, A-FQM-467-UGR18, and P18-FR-4314 (FEDER). ADC is also supported by the Spanish MINECO under the FPI programme. We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory (SMEFT) by the Lepton Number Violating operators (LNVs) at 1-loop order up to O(v4/Λ4), with v ∼ 246 GeV as the electroweak scale and Λ as the SMEFT cut-off. Using these relations with the positivity bounds on Wilson coefficients of ϕ4D4 class, we derive sign constraints on the Wilson coefficients of LNV operators, for models where ϕ4D4 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. 2023-07-18T11:01:40Z 2023-07-18T11:01:40Z 2023-06-21 journal article Bakshi, S.D., Díaz-Carmona, Á. Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators. J. High Energ. Phys. 2023, 123 (2023). [https://doi.org/10.1007/JHEP06(2023)123] https://hdl.handle.net/10481/83846 10.1007/JHEP06(2023)123 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer Nature