We review a novel model-independent approach to the analysis of new-physics
effects in the s→uℓ−νˉ transitions. We apply it to (semi)leptonic
kaon decays and study their complementarity with pion and hyperon β
decays or with collider searches of new physics.Comment: Contribution to the NA62 Physics Handbook. It summarizes the analysis
presented in arXiv:1605.07114 and discusses in more detail the interplay
between Kμ3 and semileptonic hyperon decays as new-physics probe