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arXiv · 2104.08248

Neutrino masses in the Standard Model effective field theory

Mikael Chala·Arsenii Titov
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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 $v^3/\Lambda^3$.

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Mikael Chala, Arsenii Titov. 2021-04-16. Neutrino masses in the Standard Model effective field theory. https://doi.org/10.1103/physrevd.104.035002

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