Abstract
We consider a simple extension of the Standard Model (SM) by a complex scalar doublet and a singlet along with three sterile neutrinos. The sterile neutrinos mix with the SM neutrinos to produce three light neutrino states consistent with the oscillation data and three heavy sterile states. The lightest sterile neutrino has lifetime longer than the age of the Universe and can provide correct dark matter relic abundance. Utilizing tree-level flavor changing interactions of a light scalar with mass $\ensuremath{\sim}\mathcal{O}(100)\text{ }\text{ }\mathrm{MeV}$ along with sterile neutrinos, we can explain the anomalous magnetic moments of both muon and electron, KOTO anomalous events and the MiniBooNE excess simultaneously.
Highlights
The Standard Model (SM) of particle physics is a very successful, mathematically consistent theory of the known elementary particles
The interesting question is can any simple extension of the SM explain all these observations? In an attempt to find the answer to this question, we propose a simple extension of the SM which contains an additional scalar doublet, a singlet, and three sterile neutrinos
We show the region excluded by KOTO 2018 result and K0L → π0eþe− decay channel
Summary
The Standard Model (SM) of particle physics is a very successful, mathematically consistent theory of the known elementary particles. It would require a model with new flavor structure in the leptonic sector to explain these discrepancies. The new physics to explain the anomaly requires flavor violating interactions in the quark sector. We investigate the most general renormalized scalar potential utilizing the electroweak symmetry breaking and explore the parameter space associated with the masses and mixings of the Higgs bosons. The interaction states can be written in terms of the mass eigenstates as η2 1⁄4 cos αs þ sin αs; ηS 1⁄4 − sin αs þ cos αs: ð20Þ Both scalar doublets interact with all the fermions in the interaction basis, while the singlet scalar only interacts with the sterile neutrinos. III–V, we want to generate a particular parameter space relevant for the rest of the paper
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