Ray Tracing the Integrated Sachs-Wolfe Effect Through the Light Cones of the Dark Energy Universe Simulation-Full Universe Runs

The late integrated Sachs-Wolfe (ISW) effect correlates the Cosmic MicrowaveBackground (CMB) temperature anisotropies with foreground cosmic large-scalestructures. As the correlation depends crucially on the growth history in theera of dark energy, it is a key observational probe for constraining thecosmological model. Here we present a detailed study based on full-sky and deeplight cones generated from very large volume numerical N-body simulations,which allow us to avoid the use of standard replica techniques, while capturingthe entirety of the late ISW effect on the large scales. We post-process thelight cones using an accurate ray-tracing method and construct full-sky maps ofthe ISW temperature anisotropy for three different dark energy models. Wequantify in detail the extent to which the ISW effect can be used todiscriminate between different dark energy scenarios when cross-correlated withthe matter distribution or the CMB lensing potential. We also investigate theonset of non-linearities, the so-called Rees-Sciama effect which provides acomplementary probe of the dark sector. We find the signal of thelensing-lensing and ISW-lensing correlation of the three dark energy models tobe consistent with measurements from the Planck satellite. Future surveys ofthe large-scale structures may provide cross-correlation measurements that aresufficiently precise to distinguish the signal of these models. Our methodologyis very general and can be applied to any dark energy or modified gravityscenario as long as the metric seen by photons can still be characterized by aWeyl potential.