Neutrino masses in the Standard Model effective field theory

Abstract

We compute the leading-logarithmic correction to the neutrino mass matrix in the Standard Model effective field theory (SMEFT) to dimension seven. In the limit of negligible lepton and down-type quark Yukawa couplings, it receives contributions from the Weinberg dimension-five operator as well as from 11 dimension-six and five dimension-seven independent interactions. Two of the main implications we derive from this result are the following. First, we find dimension-seven operators which, despite violating lepton number, do not renormalise neutrino masses at one loop. And second, we demonstrate that the presence of dimension-six operators around the TeV scale can modify the Standard Model prediction by up to $\mathcal{O}(50\%)$. Our result comprises also one step forward towards the renormalisation of the SMEFT to order $v^3/{\Lambda }^3$.

arXiv comment8 pages, 3 figures, 3 tables; several comments and references added; typos corrected; matches version published in PRD

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Cited by in corpus (10)

• The Standard Model effective field theory at work
• Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I
• Complete One-loop Matching of the Type-I Seesaw Model onto the Standard Model Effective Field Theory
• One-loop Matching of the Type-II Seesaw Model onto the Standard Model Effective Field Theory
• Constraints on anomalous dimensions from the positivity of the S-matrix
• Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators
• One-Loop Matching Conditions in Neutrino Effective Theory
• Complete One-loop Renormalization-group Equations in the Seesaw Effective Field Theories
• Renormalization-group equations of the LEFT at two loops: dimension-five effects
• RGE solver for the complete dim-7 SMEFT interactions and its application to $0\nu \beta \beta$ decay