The Black Hole Window on Cosmic Inflation

Abstract

We develop in this thesis the principles governing the production of our universe's primordial inhomogeneities during its early phase of inflation. As a guiding thread we ask what physics during inflation can lead to perturbations so large that they form black holes in sufficient abundance to be the dark matter. We start with the simplest single-field slow-roll paradigm for inflation, which cannot produce primordial black hole dark matter, and then gradually relieve its assumptions. After developing the effective field theory of inflation, we highlight the importance of the single-clock condition in controlling the inhomogeneities. Going beyond single-clock inflation takes us first to a qualitatively different inflationary scenario known as ultra-slow roll and finally to understanding the physics of the Higgs field during inflation.

arXiv commentPhD thesis, University of Chicago. Novel introductory material accompanying abridgments of previously published work

References in corpus (61)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Quantum Gravity at a Lifshitz Point
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Quantum Contributions to Cosmological Correlations
• A new approach to the evolution of cosmological perturbations on large scales
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• A general proof of the conservation of the curvature perturbation
• Single field consistency relation for the 3-point function
• Primordial black holes from single field models of inflation
• Exploring gravitational theories beyond Horndeski
• Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Horizon crossing and inflation with large η
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Steepest growth of the power spectrum and primordial black holes
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Primordial Black Holes and Slow-Roll Violation
• The cosmological Higgstory of the vacuum instability
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Primordial Black Holes from Inflation and non-Gaussianity
• Primordial black holes as a tool for constraining non-Gaussianity
• Measurement of the top quark mass using proton-proton data at sqrt(s) = 7 and 8 TeV
• Unifying framework for scalar-tensor theories of gravity
• Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
• Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation
• Inflation and primordial non-Gaussianities of "generalized Galileons"
• The (not so) squeezed limit of the primordial 3-point function
• The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation
• The "in-in" Formalism and Cosmological Perturbations
• Combination of CDF and DO results on the mass of the top quark using up to 5.8~fb-1 of data
• Hamiltonian analysis of spatially covariant gravity
• A Cosmological Signature of the Standard Model Higgs Vacuum Instability: Primordial Black Holes as Dark Matter
• Primordial black holes as biased tracers
• Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• Second Order General Slow-Roll Power Spectrum
• Generalized Slow Roll for Large Power Spectrum Features
• Measurement of the top quark mass in the $t\bar{t}\to$ dilepton channel from $\sqrt{s}=8$ TeV ATLAS data
• In-in and $\delta N$ calculations of the bispectrum from non-attractor single-field inflation
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• The attractive behaviour of ultra-slow-roll inflation
• Fast Computation of Bispectrum Features with Generalized Slow Roll
• Shapes of primordial non-Gaussianities in the Horndeski's most general scalar-tensor theories
• Fundamental theorem on gauge fixing at the action level
• Warp Features in DBI Inflation
• The Effective Field Theory of Inflation Models with Sharp Features
• Generalized Slow Roll for Non-Canonical Kinetic Terms
• Higher-derivative operators and effective field theory for general scalar-tensor theories
• Bispectrum in Single-Field Inflation Beyond Slow-Roll
• Precision of Inflaton Potential Reconstruction from CMB Using the General Slow-Roll Approximation
• Generalized Slow Roll in the Unified Effective Field Theory of Inflation
• Gauge invariance and non-Gaussianity in Inflation
• Running from Features: Optimized Evaluation of Inflationary Power Spectra
• Nonlinear Excitations in Inflationary Power Spectra
• Fast Computation of First-Order Feature-Bispectrum Corrections
• Primordial Black Holes as Dark Matter through Higgs Criticality
• Effective field theory of degenerate higher-order inflation
• Separate Universes beyond General Relativity
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• Reconciling tensor and scalar observables in G-inflation