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We review a novel model-independent approach to the analysis of new-physicseffects in the $s\to u\ell^-\bar\nu$ transitions. We apply it to (semi)leptonickaon decays and study their complementarity with pion and hyperon $\beta$decays or with collider searches of new physics.

New Physics in $s\to u\ell^-\bar\nu$: Interplay between semileptonic kaon and hyperon decays