We analyze the New Physics sensitivity of a recently proposed method to measure the CP-violating B\documentclass[12pt]{minimal}
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\begin{document}$$ \mathcal{B} $$\end{document}(KS → μ+μ−)ℓ=0 decay rate using KS− KL interference. We present our findings both in a model-independent EFT approach as well as within several simple NP scenarios. We discuss the relation with associated observables, most notably B\documentclass[12pt]{minimal}
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\begin{document}$$ \mathcal{B} $$\end{document}(KL → π0νν¯\documentclass[12pt]{minimal}
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\begin{document}$$ \nu \overline{\nu} $$\end{document}). We find that simple NP models can significantly enhance B\documentclass[12pt]{minimal}
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\begin{document}$$ \mathcal{B} $$\end{document}(KS → μ+μ−)ℓ=0, making this mode a very promising probe of physics beyond the standard model in the kaon sector.
