We discuss the impact of quantum gravity fluctuations on a scalar mass. In case that the scalar mass becomes irrelevant above the Planck scale, there could be solutions to the gauge hierarchy problem. In this talk, we consider the so-called classically scale invariant extension of the standard model, where non-abelian scalar-gauge theory in a dark sector is introduced to explain the origin of the electroweak scale. We discuss its phenomenological implications towards probing new physics.
An increasing number of researchers are considering the possibility that the Standard Model, appropriately extended, can attain an interacting ultraviolet fixed point. Such a theory could, in the Wilsonian sense, be regarded as a fundamental theory. I will describe recent work that shows this goal is attainable in principle by adding gauged vector-like fermions to the Standard Model, in the limit of a large number of fermion fields. With this proof-of-principle demonstration, the challenge now to find realistic asymptotically safe extensions of the Standard Model with interesting and falsifiable phenomenological signatures