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

A bstract 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 O ( v 4 / Λ 4 ), 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 ϕ 4 D 4 class, we derive sign constraints on the Wilson coefficients of LNV operators, for models where ϕ 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.