Asymptotic Safety provides a possible mechanism for a consistent and
predictive high-energy completion of gravity and gravity-matter theories.
The key ingredient in the construction is an interacting renormalization
group fixed point which controls physics at trans-Planckian scales.
Relevant couplings have the task of identifying a given asymptotically
safe theory within the unstable manifold...
No evidence of "new physics" in general and supersymmetry in
particular was found so far by LHC experiments, and this
situation has led some voices in the physics community to call
for the abandonment of the "naturalness" criterion, while other
scientists have felt the need to break a lance in its defense by
claiming that, at least in some sense, it has already led to
successes and therefore...
The hierarchy problem in the Standard Model is usually understood as both a technical problem of stability of the calculation of the quantum corrections to the masses of the Higgs sector and of the unnatural difference between the Planck and gauge breaking scales. Leaving aside the gauge sector, we implement on a purely scalar toy model a mechanism for generating naturally light scalar...