Cosmological Infrared Subtractions & Infrared-Safe Computables
arXiv:2405.19979 · doi:10.21468/SciPostPhys.18.6.176
Abstract
Cosmological observables in perturbation theory turn out to be plagued with infrared divergences, which represents both a conceptual and computational challenge. In this paper we present a proof of concept for a systematic procedure to remove these divergences in a large class of scalar cosmological integrals and consistently define an infrared safe computable in perturbation theory. We provide diagrammatic rules which are based on the nestohedra underlying the asymptotic structure of such integrals.
15 pages, 4 figures in Tikz
References in corpus (57)
- Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
- An automatized algorithm to compute infrared divergent multi-loop integrals
- Total positivity, Grassmannians, and networks
- Quantum Gravity In De Sitter Space
- De Sitter Space and Eternity
- The Quantum Gravitational Back-Reaction On Inflation
- On Loops in Inflation
- Numerical evaluation of multi-loop integrals by sector decomposition
- Decay of Vacuum Energy
- The IR stability of de Sitter: Loop corrections to scalar propagators
- Sector Decomposition
- Resolution of singularities for multi-loop integrals
- Semiclassical relations and IR effects in de Sitter and slow-roll space-times
- De Sitter Musings
- Breakdown of Semiclassical Methods in de Sitter Space
- Infrared Sensitivity of Unstable Vacua
- Lecture notes on interacting quantum fields in de Sitter space
- Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
- Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies
- Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
- On the proper treatment of massless fields in Euclidean de Sitter space
- On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation
- On "dynamical mass" generation in Euclidean de Sitter space
- On Loops in Inflation II: IR Effects in Single Clock Inflation
- Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies
- Signals of a Quantum Universe
- A Note on the Consistency Condition of Primordial Fluctuations
- Cosmological Polytopes and the Wavefunction of the Universe
- Infrared instability of the de Sitter space
- De Sitter Diagrammar and the Resummation of Time
- Particle decay during inflation: self-decay of inflaton quantum fluctuations during slow roll
- Particle decay in inflationary cosmology
- Soft de Sitter Effective Theory
- Characters of different secular effects in various patches of de Sitter space
- Cosmological diagrammatic rules
- Stochastic Inflation at NNLO
- A geometric method of sector decomposition
- Infrared dynamics of massive scalars from the complementary series in de Sitter space
- The IR stability of de Sitter QFT: Physical initial conditions
- On the IR Divergences in de Sitter Space: loops, resummation and the semi-classical wavefunction
- Amplitudes meet Cosmology: A (Scalar) Primer
- Removing infrared divergences from two-loop integrals
- Fluctuating geometries, q-observables, and infrared growth in inflationary spacetimes
- Infrared dynamics of a light scalar field in de Sitter
- Matter Contributions to the Expansion Rate of the Universe
- Steinmann Relations and the Wavefunction of the Universe
- Nonperturbative Negative Geometries: Amplitudes at Strong Coupling and the Amplituhedron
- Correlation function of null polygonal Wilson loops with local operators
- Dynamical renormalization group methods in theory of eternal inflation
- Renormalisation of IR divergences and holography in de Sitter
- in dS
- On correlation functions of Wilson loops, local and non-local operators
- Infrared Behavior of Quantum Fields in Inflationary Cosmology -- Issues and Approaches: an overview
- Perturbative correlation functions of null Wilson loops and local operators
- Positive Geometries and Differential Forms with Non-Logarithmic Singularities I
- The Geometry of Cosmological Correlators
- Regulating loops in de Sitter spacetime