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Cross-Correlating Cosmic Microwave Background Radiation Fluctuations with Redshift Surveys: Detecting the Signature of Gravitational Lensing | | Maki Suginohara
; Tatsushi Suginohara
; David N. Spergel
; | | Date: |
19 May 1997 | | Journal: | Astrophys.J. 495 (1998) 511 | | Subject: | astro-ph | | Affiliation: | Princeton University | | Abstract: | Density inhomogeneities along the line-of-sight distort fluctuations in the cosmic microwave background. Usually, this effect is thought of as a small second-order effect that mildly alters the statistics of the microwave background fluctuations. We show that there is a first-order effect that is potentially observable if we combine microwave background maps with large redshift surveys. We introduce a new quantity that measures this lensing effect, $< T(delta heta cdot
abla T) >$, where T is the microwave background temperature and $delta heta$ is the lensing due to matter in the region probed by the redshift survey. We show that the expected signal is first order in the gravitational lensing bending angle, $< (delta heta)^2 >^{1/2}$, and find that it should be easily detectable, (S/N) $sim$ 15-35, if we combine the Microwave Anisotropy Probe satellite and Sloan Digital Sky Survey data. Measurements of this cross-correlation will directly probe the ``bias’’ factor, the relationship between fluctuations in mass and fluctuations in galaxy counts. | | Source: | arXiv, astro-ph/9705134 | | Services: | Forum | Review | PDF | Favorites | |
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