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We perform a Markov Chain Monte Carlo (MCMC) analysis of a simple yet genericmultifield inflation model characterized by two scalar fields coupled to eachother and nonminimally coupled to gravity, fit to Planck 2018 cosmic microwavebackground (CMB) data. In particular, model parameters are constrained by dataon the amplitude of the primordial power spectrum of scalar curvatureperturbations on CMB scales $A_s$, the spectral index $n_s$, and the ratio ofpower in tensor to scalar modes $r$, with a prior that the primordial powerspectrum should also lead to primordial black hole (PBH) production sufficientto account for the observed dark matter (DM) abundance. We find that $n_s$ inparticular controls the constraints on our model. Whereas previous studies ofPBH formation from an ultra-slow-roll phase of inflation have highlighted theneed for at least one model parameter to be highly fine-tuned, we identify adegeneracy direction in parameter space such that shifts by $\sim 10\%$ of oneparameter can be compensated by comparable shifts in other parameters whilepreserving a close fit between model predictions and observations. Furthermore,we find this allowed parameter region produces observable gravitational wave(GW) signals in the frequency ranges to which upcoming experiments areprojected to be sensitive, including Advanced LIGO and Virgo, the EinsteinTelescope (ET), Cosmic Explorer (CE), DECIGO, and LISA.

Planck Constraints and Gravitational Wave Forecasts for Primordial Black Hole Dark Matter Seeded by Multifield Inflation