The Observed Squeezed Limit of Cosmological Three-Point Functions

By E. Pajer, F. Schmidt, M. Zaldarriaga. 2013

192 citations recorded by the source corpus.

of cosmological perturbation theory on these observables. This makes crucial use of Fermi Normal Coordinates and their conformal generalization, which we introduce here and discuss in detail. As an example, we apply our formalism to standard slow-roll single-eld ination. We show explicitly that Maldacena’s results for the squeezed limits of the scalar bispectrum [proportional to (ns 1) in comoving gauge] and the tensor-scalar-scalar bispectrum lead to no deviations from a Gaussian universe, except for projection eects. In particular, the primordial contributions to the squeezed CMB bispectrum and scale dependent halo bias vanish, and there are no primordial \fossil" correlations between long-wavelength tensor perturbations and small-scale perturbations. The contributions to observed correlations are then only due to projection eects such as gravitational lensing and redshift perturbations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/02a715bab1ef2c66e8894feb8ffa1212467b8097

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Baumann
2. F. Vernizzi
3. J. Khoury
4. Kurt Hinterbichler
5. C. Byrnes
6. E. Pajer
7. L. Hui
8. K. Koyama

In Nuclear and High Energy Physics

1. D. Baumann
2. F. Vernizzi
3. Kurt Hinterbichler
4. J. Khoury
5. C. Byrnes
6. L. Hui
7. E. Pajer
8. P. Creminelli

Citations in the corpus

• Probing primordial non-Gaussianity with SKA galaxy redshift surveys: a fully relativistic analysis (2014, background): “This subtle point (see Verde & Matarrese 2009) is missed in most previous work on PNG from single-field inflation (e.g. Pajer et al. 2013).”
• Single-field consistency relations of large scale structure part II: resummation and redshift space (2013, background): “Consistency relations can be reformulated in terms of observables, as nicely reviewed in [21].”
• The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, unknown): “ions [17,51,107] that relate a long-wavelength metric uctuation to a change of coordinates. This extra contribution to the squeezed bispectrum does not generate observable eects in the late universe [113]. Massive spin-2 exchange Finally, the result (6.13) straightforwardly includes the bispectra as”
• An infinite set of Ward identities for adiabatic modes in cosmology (2013, background): “Recent papers [39, 40] show that the consistency relation can be rewritten as the vanishing of a certain repackaged 3-point function in the squeezed limit.”
• Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation (2019, background): “the Maldacena consistency relation [42]) does not generate isocurvature perturbations [43, 44].”
• Non-Gaussianity as a particle detector (2016, background): “Since the contributions coming from b0 and b1 cannot be measured by a local observer [47, 48], any physical effect will only appear at order (k1/k3) 2 [49].”