Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators.

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. [ABSTRACT FROM AUTHOR]