Papers › Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators
Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators
Supratim Das Bakshi, Álvaro Díaz-Carmona
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We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory 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 ϕ⁴ D⁴ class, we derive sign-constraints on the Wilson coefficients of LNV operators for models where ϕ⁴ D⁴ 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.
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