The halo squeezed-limit bispectrum with primordial non-Gaussianity: a power spectrum response approach

Abstract

Modeling the nonlinearity of the halo bispectrum remains a major challenge in modern cosmology, in particular for ongoing and upcoming large-scale structure observations that are performed to study the inflationary physics. The "power spectrum response" offers a solution for bispectrum in the so-called squeezed limit, in which one wavenumber is much smaller than the other two. As a first step, we demonstrate that the halo squeezed-limit bispectrum computed from the second-order standard perturbation theory agrees precisely with the responses of linear halo power spectrum to large-scale density and potential fluctuations. Since the halo power spectrum responses to arbitrarily small scales can straightforwardly be obtained by separate universe simulations, the response approach provides a novel and powerful technique for modeling the nonlinear halo squeezed-limit bispectrum.

5 pages+appendix; matches PRD accepted version

References in corpus (7)

• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Separate Universe Simulations
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Cited by in corpus (7)

• Scale-dependent bias and bispectrum in neutrino separate universe simulations
• Density reconstruction from biased tracers and its application to primordial non-Gaussianity
• Local Primordial Non-Gaussianities and Super-Sample Variance
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Power spectrum in the presence of large-scale overdensity and tidal fields: breaking azimuthal symmetry
• Constraining $f_{NL}$ using the Large-Scale Modulation of Small-Scale Statistics