Abstract
The Standard Model (SM) of particle physics is an extremely successful theory that effectively describes strong and electroweak interactions up to the energies presently accessible. Still, the SM does not explain the observed parameters of neutrino oscillations, baryon asymmetry of the Universe and Dark Matter (DM), and contains a fine-tuning of 16 orders of magnitude (the gauge hierarchy problem). Various New Physics (NP) models beyond the SM have been developed in order to address the above limitations. This paper concentrates on several models related to cosmology and their tests in rare kaon decays. In particular, recent NA48/2 results on the search for heavy neutrinos, light in-flatons and dark photons are presented. Prospects for the ongoing NA62 experiment are discussed.
Highlights
For many years kaon physics has been a powerful tool both to explore the flavor sector of the Standard Model (SM) and to search for New Physics (NP)
The world limits on the mixing parameter with dark photon (DP) are improved in the range 9–70 MeV/c2
The NA62 experiment is aimed at measuring the branching ratios (BR)(K+ → π+νν) with ∼10% precision
Summary
The lightest lepton N1 (m ∼ keV) constitutes DM, while N2 and N3 (m up to a few GeV) are responsible for neutrino oscillations and BAU and can be searched for in kaon decays K → lN(l = e, μ). Light inflaton models explain inflation in the early Universe and together with the νMSM form a complete extension of the SM [2, 3]. In this class of models an additional scalar particle χ coupling to the SM Higgs boson is introduced and can be searched for in the decay K → πχ. The detailed description of the setup can be found in [5]
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