Weak lensing "post-Born" effects are equivalent to pure lens-lens couplings
arXiv:2109.04774 · doi:10.1088/1475-7516/2022/08/053
Abstract
We show that the so-called "post-Born" effects of weak lensing at 4th order are equivalent to lens-lens couplings in the Born Approximation. We demonstrate this by explicitly showing the equivalence of the canonical weak lensing approach at 4th order using the anisotropy remapping method, to that of the 4th order calculation of the lens-lens coupling effects using the Boltzmann equation approach that was first developed in [Phys. Rev. D89, 123006]. Furthermore, we argue that to incorporate true "post-Born" effects, i.e. taking into account non-straight photon paths, require the addition of a photon deflection term which has not been taken into account in the canonical formalism nor the Boltzmann method.
arXiv comment21 pages
References in corpus (53)
- Weak Gravitational Lensing
- A Line of Sight Approach to Cosmic Microwave Background Anisotropies
- Weak Gravitational Lensing of the CMB
- Planck 2018 results. VIII. Gravitational lensing
- CMB Lensing Reconstruction on the Full Sky
- Microwave Background Constraints on Cosmological Parameters
- Weak Lensing and Cosmology
- Determining Neutrino Mass from the CMB Alone
- Reconstructing Projected Matter Density from Cosmic Microwave Background
- The Microwave Background Bispectrum, Paper II: A Probe of the Low Redshift Universe
- Mapping the Dark Matter through the CMB Damping Tail
- The shape of the CMB lensing bispectrum
- Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
- Lensed CMB simulation and parameter estimation
- CMB temperature lensing power reconstruction
- Second Order Corrections to Weak Lensing by Large-Scale Structure
- Higher-Order Gravitational Perturbations of the Cosmic Microwave Background
- Weak lensing power spectra for precision cosmology: Multiple-deflection, reduced shear and lensing bias corrections
- Impact of post-Born lensing on the CMB
- Weak lensing of the CMB
- Maximum a posteriori CMB lensing reconstruction
- A Measurement of the Cosmic Microwave Background Lensing Potential and Power Spectrum from 500 deg of SPTpol Temperature and Polarization Data
- Direct Signature of Evolving Gravitational Potential from Cosmic Microwave Background
- Looking through the same lens: shear calibration for LSST, Euclid & WFIRST with stage 4 CMB lensing
- First Measurement of the Cross-Correlation of CMB Lensing and Galaxy Lensing
- The radiative transfer at second order: a full treatment of the Boltzmann equation with polarization
- Full covariance of CMB and lensing reconstruction power spectra
- CMB Delensing Beyond the B Modes
- Cross-correlating Planck CMB lensing with SDSS: Lensing-lensing and galaxy-lensing cross-correlations
- The Far-Infrared Background Correlation with CMB Lensing
- CMB weak-lensing beyond the Born approximation: a numerical approach
- Cross-correlation of Planck CMB Lensing and CFHTLenS Galaxy Weak Lensing Maps
- On the validity of the Born approximation for beyond-Gaussian weak lensing observables
- CMB lensing reconstruction biases in cross-correlation with large-scale structure probes
- Cross-correlation of gravitational lensing from DES Science Verification data with SPT and Planck lensing
- Using CMB lensing to constrain the multiplicative bias of cosmic shear
- Lensing Reconstruction in Post-Born Cosmic Microwave Background Weak Lensing
- The Born and Lens-Lens Corrections to Weak Gravitational Lensing Angular Power Spectra
- CMB-lensing beyond the Born approximation
- CMB Lensing Beyond the Power Spectrum: Cosmological Constraints from the One-Point PDF and Peak Counts
- A new approach to the propagation of light-like signals in perturbed cosmological backgrounds
- CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure
- KiDS-450: Tomographic Cross-Correlation of Galaxy Shear with {\it Planck} Lensing
- Intrinsic alignment contamination to CMB lensing-galaxy weak lensing correlations from tidal torquing
- Impact of next-to-leading order contributions to CMB lensing
- Measuring the Small-Scale Matter Power Spectrum with High-Resolution CMB Lensing
- Multiple Lensing of the Cosmic Microwave Background anisotropies
- Non-linear general relativistic effects in the observed redshift
- Evidence for the Cross-correlation between Cosmic Microwave Background Polarization Lensing from POLARBEAR and Cosmic Shear from Subaru Hyper Suprime-Cam
- Formulating Weak Lensing from the Boltzmann Equation and Application to Lens-lens Couplings
- Post-Born corrections to the one-point statistics of (CMB) lensing convergence obtained via large deviation theory
- Lensing corrections on galaxy-lensing cross correlations and galaxy-galaxy auto correlations
- Cross-correlation of POLARBEAR CMB Polarization Lensing with High- Sub-mm Herschel-ATLAS galaxies