Full-sky maps for gravitational lensing of the CMB

Abstract

We use the large cosmological Millennium Simulation (MS) to construct the first all-sky maps of the lensing potential and the deflection angle, aiming at gravitational lensing of the CMB, with the goal of properly including small-scale non-linearities and non-Gaussianity. Exploiting the Born approximation, we implement a map-making procedure based on direct ray-tracing through the gravitational potential of the MS. We stack the simulation box in redshift shells up to $z\sim 11$, producing continuous all-sky maps with arcminute angular resolution. A randomization scheme avoids repetition of structures along the line of sight and structures larger than the MS box size are added to supply the missing contribution of large-scale (LS) structures to the lensing signal. The angular power spectra of the projected lensing potential and the deflection-angle modulus agree quite well with semi-analytic estimates on scales down to a few arcminutes, while we find a slight excess of power on small scales, which we interpret as being due to non-linear clustering in the MS. Our map-making procedure, combined with the LS adding technique, is ideally suited for studying lensing of CMB anisotropies, for analyzing cross-correlations with foreground structures, or other secondary CMB anisotropies such as the Rees-Sciama effect.

LaTeX file, 10 pages, MNRAS in press, scales larger than the Millennium Simulation box size semi-analytically added, maps changed, references added, typos corrected

References in corpus (5)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• Correlation of CMB with large-scale structure: II. Weak lensing
• Strong lensing optical depths in a \LambdaCDM universe
• Supernovae, Lensed CMB and Dark Energy

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• Reconstruction of the neutrino mass as a function of redshift
• DEMNUni: The imprint of massive neutrinos on the cross-correlation between cosmic voids and CMB lensing
• Multiple Lensing of the Cosmic Microwave Background anisotropies
• MillimeterDL: Deep Learning Simulations of the Microwave Sky
• Ray tracing the integrated Sachs-Wolfe effect through the light cones of the Dark Energy Universe Simulation -- Full Universe Runs
• DEMNUni: cross-correlating the nonlinear ISWRS effect with CMB-lensing and galaxies in the presence of massive neutrinos
• The influence of weak lensing on measurements of the Hubble constant with quad-image gravitational lenses
• A Minkowski Functional Analysis of the Cosmic Microwave Background Weak Lensing Convergence
• Combined $13\times 2$-point analysis of the Cosmic Microwave Background and Large-Scale Structure: implications for the $S_8$-tension and neutrino mass constraints
• Solving small-scale clustering problems in approximate lightcone mocks