I will introduce asymptotic safety, which is a quantum field theoretic

paradigm providing a predictive ultraviolet completion for quantum field

theories. I will show examples of asymptotically safe theories and then

discuss the search for asymptotically safe models that include quantum

gravity.

In particular, I will explain how asymptotic safety corresponds to a new

symmetry principle - quantum scale symmetry - that has a high predictive

power. In the examples I will discuss, asymptotic safety with gravity could

enable a first-principles calculation of Yukawa couplings, e.g., in the

quark sector of the Standard Model, as well as in dark matter models.

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