We analyze the decays K → π ν and P → ν (P = K, π, = e, µ) using a low-energy Effective-Field-Theory approach to parametrize New Physics and study the complementarity with baryon β decays. We then provide a road map for a global analysis of the experimental data, with all the Wilson coefficients simultaneously, and perform a fit leading to numerical bounds for them and for V us . A prominent result of our analysis is a reinterpretation of the well-known V ud −V us diagram as a strong constraint on new physics. Finally, we reinterpret our bounds in terms of the SU(2) L × U(1) Y -invariant operators, provide bounds to the corresponding Wilson coefficients at the TeV scale and compare our results with collider searches at the LHC.