Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space

Abstract

We generalize the recently derived single-field consistency relations of Large Scale Structure in two directions. First, we treat the effect of the long modes (with momentum q) on the short ones (with momentum k) non-perturbatively, by writing resummed consistency relations which do not require k/q δ_q << 1. These relations do not make any assumptions on the short-scales physics and are extended to include (an arbitrary number of) multiple long modes, internal lines with soft momenta and soft loops. We do several checks of these relations in perturbation theory and we verify that the effect of soft modes always cancels out in equal-time correlators. Second, we write the relations directly in redshift space, without assuming the single-stream approximation: not only the long mode affects the short scales as a homogeneous gravitational field, but it also displaces them by its velocity along the line-of-sight. Redshift space consistency relations still vanish when short modes are taken at equal time: an observation of a signal in the squeezed limit would point towards multifield inflation or a violation of the equivalence principle.

15 pages, 2 figures. v2: minor changes, JCAP published version

References in corpus (3)

• Measuring primordial non-gaussianity without cosmic variance
• Single-Field Consistency Relations of Large Scale Structure
• Resonant Trispectrum and a Dozen More Primordial N-point functions

Cited by in corpus (60)

• The Effective Field Theorist's Approach to Gravitational Dynamics
• Equivalence Principle and the Baryon Acoustic Peak
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Modeling Biased Tracers at the Field Level
• Large-Scale Structure and Gravitational Waves III: Tidal Effects
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• On Separate Universes
• The angle-averaged squeezed limit of nonlinear matter N-point functions
• Single-Field Consistency Relations of Large Scale Structure. Part III: Test of the Equivalence Principle
• Modeling Galaxies in Redshift Space at the Field Level
• Primordial Features from Linear to Nonlinear Scales
• Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure
• Responses in Large-Scale Structure
• Soft-Pion Theorems for Large Scale Structure
• Conformal Fermi Coordinates
• Testing one-loop galaxy bias: Power spectrum
• Angular averaged consistency relations of large-scale structures
• Is There Scale-Dependent Bias in Single-Field Inflation?
• Biasing and the search for primordial non-Gaussianity beyond the local type
• Perturbative description of bias tracers using consistency relations of LSS
• Kinematic consistency relations of large-scale structures
• Unequal-Time Correlators for Cosmology
• Consistency relations for large-scale structure in modified gravity and the matter bispectrum
• Multiple Soft Limits of Cosmological Correlation Functions
• Principal Shapes and Squeezed Limits in the Effective Field Theory of Large Scale Structure
• The observed galaxy bispectrum from single-field inflation in the squeezed limit
• Euclid: The search for primordial features
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Non-Trivial Checks of Novel Consistency Relations
• Modeling HI at the field level
• Unveiling dark forces with measurements of the Large Scale Structure of the Universe
• Light Fields during Inflation from BOSS and Future Galaxy Surveys
• Violation of the consistency relations for large-scale structure with dark energy
• Testing the equal-time angular-averaged consistency relation of the gravitational dynamics in N-body simulations
• A non-perturbative test of consistency relations and their violation
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• Neutrino masses from large-scale structures: future sensitivity and theory dependence
• On Soft Limits of Large-Scale Structure Correlation Functions
• Lagrangian space consistency relation for large scale structure
• Perturbation theory of LSS in the $\Lambda$CDM Universe: exact time evolution and the two-loop power spectrum
• Inflation and Conformal Invariance: The Perspective from Radial Quantization
• Consistency Relations in Effective Field Theory
• Consistency relations for large scale structures with primordial non-Gaussianities
• Non-zero density-velocity consistency relations for large scale structures
• Measuring Bias via the Consistency Relations of the Large Scale Structure
• New Interpretations of the Cosmological Preference for a Negative Neutrino Mass
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• Testing the Origin of Cosmological Magnetic Fields through the Large-Scale Structure Consistency Relations
• Model independent measurement of the growth rate from the consistency relations of the LSS
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics
• Consistency relations for large-scale structures: Applications for the integrated Sachs-Wolfe effect and the kinematic Sunyaev-Zeldovich effect
• Inflation in Flatland
• Refining the nonlinear modelling of primordial oscillatory features
• The Compressed 3D Lyman-Alpha Forest Bispectrum
• A Consistency Relation for the CMB B-mode Polarization in the Squeezed Limit
• Baryonic effects in the Effective Field Theory of Large-Scale Structure and an analytic recipe for lensing in CMB-S4
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries
• Stable Clustering Ansatz, Consistency Relations and Gravity Dual of Large-Scale Structure
• Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order