The concept of an interacting UV fixed point in quantum field theory -- known as asymptotic safety -- is of high interest per se. In particle physics it opens up avenues for model building beyond the guiding principles of asymptotic freedom. In this talk, I explain exact results and general theorems for interacting fixed pointsin general 4d gauge theories coupled to matter. The pivotal role played by Yukawa interactions and scalar fields such as the Higgs are highlighted. As an application, minimal asymptotically safe extensions of the Standard Model are put forward including their signatures at particle colliders.