Weak lensing corrections to tSZ-lensing cross correlation
arXiv:1408.6284 · doi:10.1088/1475-7516/2014/11/008
Abstract
The cross correlation between the thermal Sunyaev-Zeldovich (tSZ) effect and gravitational lensing in wide field has recently been measured. It can be used to probe the distribution of the diffuse gas in large scale structure, as well as inform us about the missing baryons. As for any lensing-based quantity, higher order lensing effects can potentially affect the signal. Here, we extend previous higher order lensing calculations to the case of tSZ-lensing cross correlations. We derive terms analogous to corrections due to the Born approximation, lens-lens coupling, and reduced shear up to fourth order in the Newtonian potential. Redshift distortions and vector modes are shown to be negligible at this order. We find that the dominant correction due to the reduced shear exceeds percent-level only at multipoles of .
20 pages, 2 figures; matches version accepted by JCAP
References in corpus (33)
- Planck 2013 results. XVI. Cosmological parameters
- Statistics of Cosmic Microwave Background Polarization
- The Cosmic Energy Inventory
- Gravitational Lensing
- Extended Limber Approximation
- A new measure for cosmic shear
- Reconstruction of lensing from the cosmic microwave background polarization
- Ray-tracing through the Millennium Simulation: Born corrections and lens-lens coupling in cosmic shear and galaxy-galaxy lensing
- The Search for the Missing Baryons at Low Redshift
- Do Hot Haloes Around Galaxies Contain the Missing Baryons?
- CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations
- A Fitting Formula for the Non-Linear Evolution of the Bispectrum
- CFHTLenS: Mapping the Large Scale Structure with Gravitational Lensing
- Second Order Corrections to Weak Lensing by Large-Scale Structure
- Detection of Thermal SZ -- CMB Lensing Cross-Correlation in Planck Nominal Mission Data
- Weak lensing power spectra for precision cosmology: Multiple-deflection, reduced shear and lensing bias corrections
- An improved fitting formula for the dark matter bispectrum
- Detection of warm and diffuse baryons in large scale structure from the cross-correlation of gravitational lensing and the thermal Sunyaev-Zeldovich effect
- Full-sky lensing shear at second order
- Simulations of Weak Gravitational Lensing - II : Including Finite Support Effects in Cosmic Shear Covariance Matrices
- Effect of Peculiar Motion in Weak Lensing
- Reduced Shear Power Spectrum
- The Weak Lensing Bispectrum
- Biased Dark Energy Constraints from Neglecting Reduced Shear in Weak Lensing Surveys
- The Born and Lens-Lens Corrections to Weak Gravitational Lensing Angular Power Spectra
- Cosmic shear bispectrum from second-order perturbations in General Relativity
- Weak Lensing Statistics as a Probe of Omega and Power Spectrum
- Second Order Geodesic Corrections to Cosmic Shear
- Non-linear relativistic contributions to the cosmological weak-lensing convergence
- Steps towards nonlinear cluster inversion through gravitational distortions: III. Including a redshift distribution of the sources
- Steps towards Nonlinear Cluster Inversion Through Gravitational Distortions. I. Basic Considerations and Circular Clusters
- Second-order weak lensing from modified gravity
- An overview of the completed Canada-France-Hawaii Telescope Lensing Survey (CFHTLenS)
Cited by in corpus (5)
- Cross-correlating Planck tSZ with RCSLenS weak lensing: Implications for cosmology and AGN feedback
- Investigating Cluster Astrophysics and Cosmology with Cross-Correlation of the Thermal Sunyaev-Zel'dovich Effect and Weak Lensing
- 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
- Accurately computing weak lensing convergence