How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales

arXiv:2608.03725 · astro-ph.CO, gr-qc, hep-th · Submitted 2026-08-04 · Read on arXiv

Danilo Artigas, Shi Pi, Takahiro Tanaka, Yuko Urakawa

astro-ph.CO, gr-qc, hep-th

Submitted: 2026-08-04

Updated: 2026-08-10

Comments: 20 pages main text, 4 pages appendix, 8 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Consistency — 14× in this paper · explained in 3 episodes
• Bispectrum — 5× in this paper · explained in 3 episodes
• Non-Gaussianity — 3× in this paper · explained in 2 episodes
• Anisotropy — 2× in this paper · explained in 3 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Abundance — 1× in this paper · explained in 1 episode
• Higher-order derivatives — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Primordial Black Holes (PBHs) — 1× in this paper · explained in 7 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Primordial Black Holes as Dark Matter
• Primordial Black Holes as Dark Matter: Recent Developments
• Primordial Black Holes as a dark matter candidate
• Primordial Black Holes
• Inflationary perturbations near horizon crossing
• Enhancement of superhorizon scale inflationary curvature perturbations
• Horizon crossing and inflation with large \eta
• Curvature perturbation at the local extremum of the inflaton's potential
• Ultra slow-roll inflation demystified
• The attractive behaviour of ultra-slow-roll inflation
• Primordial Black Hole Formation in Starobinsky's Linear Potential Model
• Inflationary relics from an Ultra-Slow-Roll plateau
• Natura Non Facit Saltum: An Analytical Model of Smooth Slow-Roll to Ultra-Slow-Roll Transition
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach
• Ultra-Slow-Roll Inflation on the Lattice I: Backreaction and Nonlinear Effects
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• Constraining Primordial Black Hole Formation from Single-Field Inflation
• Note on the bispectrum and one-loop corrections in single-field inflation with primordial black hole formation
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation

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