Bispectrum at NLO in single field inflation: conservation and squeezed limit
arXiv:2502.18187 · doi:10.1140/epjc/s10052-025-14202-0
Abstract
In a recent paper, we computed the bispectrum of primordial density perturbations in CMB to second order in the slow-roll parameters of single field inflation, and found logarithmic infrared contributions that diverge in both large physical distances and squeezed limit where one momentum vanishes. In this work, we provide an independent test of the result by checking its conservation and the validity of the consistency relation between the squeezed limit of the bispectrum and the square of the power spectrum. Despite the violation of the main assumption for its general proofs which is the finiteness of the relevant observables in these limits, we find that the identity continues to hold in the vicinity of the squeezed limit and large time.
arXiv comment15 pages. v2: typos corrected. published version
References in corpus (16)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Single field consistency relation for the 3-point function
- Adiabatic Modes in Cosmology
- Higher order corrections to primordial spectra from cosmological inflation
- On the consistency relation of the 3-point function in single field inflation
- Conformal consistency relations for single-field inflation
- The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
- The (not so) squeezed limit of the primordial 3-point function
- Ward Identities for Scale and Special Conformal Transformations in Inflation
- Large slow-roll corrections to the bispectrum of noncanonical inflation
- One-particle-irreducible consistency relations for cosmological perturbations
- Inflationary Consistency Conditions from a Wavefunctional Perspective
- Inflationary soft theorems revisited: A generalized consistency relation
- On the squeezed limit of the bispectrum in general single field inflation
- Slow-Roll Inflation at N3LO
- Primordial power spectrum at N3LO in effective theories of inflation