Constraining power of asymptotic safety for scalar fields
  We explore the phenomenology of scalar fields coupled to asymptotically safe
quantum gravity, in light of their potential significance for dark matter, for
the inflaton as well as dynamical dark energy, and in the Higgs sector in and
beyond the Standard Model. This work is a step towards delineating the
boundaries of the asymptotically safe swampland by exploiting the constraining
power of the asymptotic-safety paradigm. Firstly, we strengthen indications
that quantum gravitational fluctuations could drive scalar potentials towards
flatness, with intriguing potential implications for inflation and dark energy.
Secondly, we explore how asymptotic safety could rule out large parts of the
parameter space in models for scalar dark matter. Thirdly, we discover hints
that at an asymptotically safe fixed point with finite top quark mass, the
non-minimal Higgs-curvature coupling could be constrained. Finally, by
combining the constraining power of asymptotic safety in particle physics and
cosmology, we find hints that Higgs inflation lies in the asymptotically safe
swampland. In summary, we strengthen previous indications for the constraining
power of asymptotic safety and the resulting large extent of the asymptotically
safe swampland.
