Quantum gravity fluctuations flatten the Planck-scale Higgs potential

Understand

We investigate asymptotic safety of a toy model of a singlet-scalar extension of the Higgs sector including two real scalar fields under the impact of quantum-gravity fluctuations.

• Employing functional renormalization group techniques, we search for fixed points of the system which provide a tentative ultraviolet completion of the system.
• We find that in a particular regime of the gravitational parameter space the canonically marginal and relevant couplings in the scalar sector -- including the mass parameters -- become irrelevant at the ultraviolet fixed point.
• The infrared potential for the two scalars that can be reached from that fixed point is fully predicted and features no free parameters.