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arXiv · 2112.00767

Light sterile neutrinos and lepton-number-violating kaon decays in effective field theory

Guanghui Zhou
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Abstract

We investigate lepton-number-violating decays $K^\mp \rightarrow \pi^\pm l^\mp l^\mp$ in the presence of sterile neutrinos. We consider minimal interactions with Standard-Model fields through Yukawa couplings as well as higher-dimensional operators in the framework of the neutrino-extended Standard Model Effective Field Theory. We use $SU(3)$ chiral perturbation theory to match to mesonic interactions and compute the lepton-number-violating decay rate in terms of the neutrino masses and the Wilson coefficients of higher-dimensional operators. For neutrinos that can be produced on-shell, the decay rates are highly enhanced and higher-dimensional interactions can be probed up to very high scales around $ \mathcal{O}$(30) TeV.

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Guanghui Zhou. 2021-12-01. Light sterile neutrinos and lepton-number-violating kaon decays in effective field theory. https://doi.org/10.1007/jhep06(2022)127

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