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Neutrino masses in the Standard Model effective field theory

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arxiv 2104.08248 v2 pith:AQEORSFD submitted 2021-04-16 hep-ph

classification hep-ph
keywords modelneutrinostandarddimension-sevendimension-sixeffectivefieldlepton
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Neutrinoless Double-Beta Decays from Operator Mixing

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Renormalization-group mixing lets heavy-quark dimension-seven operators feed neutrinoless double-beta decay, giving some of the strongest current bounds on these new-physics operators.

  2. Challenging Majorana neutrino effects in $B\to K^{(\ast)}\nu\nu$ and $K\to \pi\nu\nu$ decays

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Belle-II's B→Kνν excess cannot be explained by dimension-7 lepton-number-violating SMEFT operators without fine-tuning neutrino masses, while a light sterile-neutrino extension can, with testable decay spectra.

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