CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure

Abstract

We discuss detectability of the nonlinear growth of the large-scale structure in the cosmic microwave background (CMB) lensing. Lensing signals involved in CMB anisotropies have been measured from multiple CMB experiments, such as Atacama Cosmology Telescope (ACT), Planck, POLARBEAR, and South Pole Telescope (SPT). Reconstructed lensing signals are useful to constrain cosmology via their angular power spectrum, while detectability and cosmological application of their bispectrum induced by the nonlinear evolution are not well studied. Extending the analytic estimate of the galaxy lensing bispectrum presented by Takada and Jain (2004) to the CMB case, we show that even near term CMB experiments such as Advanced ACT, Simons Array and SPT3G could detect the CMB lensing bispectrum induced by the nonlinear growth of the large-scale structure. In the case of the CMB Stage-IV, we find that the lensing bispectrum is detectable at $\gtrsim 50\sigma$ statistical significance. This precisely measured lensing bispectrum has rich cosmological information, and could be used to constrain cosmology, e.g., the sum of the neutrino masses and the dark-energy properties.

7 pages, 3 figures, replaced to match the published version in PRD

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• Impact of post-Born lensing on the CMB
• Maximum a posteriori CMB lensing reconstruction
• CMB Delensing Beyond the B Modes
• CMB weak-lensing beyond the Born approximation: a numerical approach
• A bias to CMB lensing measurements from the bispectrum of large-scale structure
• Constraining Neutrino Mass with the Tomographic Weak Lensing Bispectrum
• CMB lensing reconstruction biases in cross-correlation with large-scale structure probes
• Fitting the nonlinear matter bispectrum by the Halofit approach
• Lensing Reconstruction in Post-Born Cosmic Microwave Background Weak Lensing
• Baryonic effects on the matter bispectrum
• CMB Lensing Beyond the Power Spectrum: Cosmological Constraints from the One-Point PDF and Peak Counts
• On the effect of non-Gaussian lensing deflections on CMB lensing measurements
• Impact of next-to-leading order contributions to CMB lensing
• CMB internal delensing with general optimal estimator for higher-order correlations
• Evidence for the Cross-correlation between Cosmic Microwave Background Polarization Lensing from POLARBEAR and Cosmic Shear from Subaru Hyper Suprime-Cam
• Constraints on the dark matter and dark energy interactions from weak lensing bispectrum tomography
• The CMB lensing bi-spectrum as a probe of modified gravity theories
• Weak lensing probe of cubic Galileon model
• CMB lensing bi-spectrum: assessing analytical predictions against full-sky lensing simulations
• Impact of nonlinear growth of the large-scale structure on CMB B-mode delensing
• Too hot to handle? Analytic solutions for massive neutrino or warm dark matter cosmologies
• The reconstructed CMB lensing bispectrum
• Probing dark energy using convergence power spectrum and bi-spectrum
• Delensing CMB B-modes using galaxy surveys: the effect of galaxy bias and matter clustering non-linearities
• Weak lensing "post-Born" effects are equivalent to pure lens-lens couplings