Constraining Primordial Black Hole Formation from Single-Field Inflation
Jason Kristiano, Jun’ichi Yokoyama
Abstract
The most widely studied formation mechanism of a primordial black hole is collapse of large-amplitude perturbation on small scales generated in single-field inflation. In this Letter, we calculate one-loop correction to the large-scale power spectrum in a model with sharp transition of the second slow-roll parameter. We find that models producing an appreciable amount of primordial black holes induce nonperturbative coupling on a large scale probed by cosmic microwave background radiation. Our result implies that a small-scale power spectrum can be constrained by large-scale cosmological observations.
Topics & Concepts
PhysicsCosmic microwave backgroundInflation (cosmology)Primordial black holeAmplitudePerturbation (astronomy)Spectral densityCosmic background radiationPrimordial fluctuationsAstrophysicsScale (ratio)Coupling (piping)Black hole (networking)Field (mathematics)Quantum electrodynamicsTheoretical physicsGravitational waveQuantum mechanicsBinary black holeComputer scienceRouting protocolLink-state routing protocolEngineeringComputer networkAnisotropyMechanical engineeringStatisticsPure mathematicsRouting (electronic design automation)MathematicsCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsGalaxies: Formation, Evolution, Phenomena