Abstract
The decays KS,L → invisible have never been experimentally tested. In the Standard Model (SM), their branching ratios for the decay into two neutrinos are predicted to be extremely small, Br (KS,L → νν̄) ≲ 10−16. We consider several natural extensions of the SM, such as two-Higgs-doublet (2HDM), 2HDM and light scalar, and dark mirror sector models, that allow one to enhance the Br (KS,L → invisible) up to a measurable level. We briefly discuss the possible search for KS,L → invisible decays and KS,L oscillations into the dark sector at the NA64 experiment at CERN with the sensitivity to Br (KS,L → invisible) ≲ 10−7−10−5.
Acknowledgements
We would like to thank our colleagues from the NA64 collaboration for their interest in thiswork. In particular, we are grateful to L. Molina Bueno, A. Celentano, P. Crivelli, S. Donskov,M. Kirsanov, S. Kuleshov, V. Lyubovitskij, D. Peshekhonov, V. Poliakov, V. Samoylenko,A. Toropin, and A. Zevlakov for useful discussions.
References
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[64] S. N. Gninenko, N. V. Krasnikov, and V. A. Matveev, Physics of Particles and Nuclei 51 (2020)829.
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