Effective scalar potential in asymptotically safe quantum gravity

Abstract

We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of renormalizable couplings. The scaling potential takes a non-polynomial form, approaching typically a constant for large values of scalar fields. Spontaneous symmetry breaking may be induced by non-vanishing gauge couplings. We strengthen the arguments for a prediction of the ratio between the masses of the top quark and the Higgs boson. Higgs inflation in the standard model is unlikely to be compatible with asymptotic safety. Scaling solutions with vanishing relevant parameters can be sufficient for a realistic description of particle physics and cosmology, leading to an asymptotically vanishing ''cosmological constant" or dynamical dark energy.

Additional explications, 46 pages, 26 figures

References in corpus (7)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Cosmology and the Fate of Dilatation Symmetry
• The Standard Model Higgs boson as the inflaton
• Top mass from asymptotic safety
• Quantum gravity and Standard-Model-like fermions
• Quantum scale symmetry

Cited by in corpus (5)

• The nonperturbative functional renormalization group and its applications
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Fundamental Scale Invariance
• Primordial flat frame -- a new view on inflation
• A technique for natural gauge boson masses