Combining weak-lensing tomography and spectroscopic redshift surveys

Cai, Yan -Chuan; Bernstein, Gary

doi:10.1111/j.1365-2966.2012.20676.x

Title: Combining weak-lensing tomography and spectroscopic redshift surveys

Journal Article · Fri May 11 00:00:00 EDT 2012 · Monthly Notices of the Royal Astronomical Society

DOI:https://doi.org/10.1111/j.1365-2966.2012.20676.x· OSTI ID:1203603

Cai, Yan -Chuan ^[1]; Bernstein, Gary ^[1]

Univ. of Pennsylvania, Philadelphia, PA (United States)

Redshift space distortion (RSD) is a powerful way of measuring the growth of structure and testing General Relativity, but it is limited by cosmic variance and the degeneracy between galaxy bias b and the growth rate factor f. The cross-correlation of lensing shear with the galaxy density field can in principle measure b in a manner free from cosmic variance limits, breaking the f-b degeneracy and allowing inference of the matter power spectrum from the galaxy survey. We analyze the growth constraints from a realistic tomographic weak lensing photo-z survey combined with a spectroscopic galaxy redshift survey over the same sky area. For sky coverage f_sky = 0.5, analysis of the transverse modes measures b to 2-3% accuracy per Δz = 0.1 bin at z < 1 when ~10 galaxies arcmin^–2 are measured in the lensing survey and all halos with M > M_min = 10¹³h^–1M_⊙ have spectra. For the gravitational growth parameter parameter γ (f = Ω^γ_m), combining the lensing information with RSD analysis of non-transverse modes yields accuracy σ(γ) ≈ 0.01. Adding lensing information to the RSD survey improves \sigma(\gamma) by an amount equivalent to a 3x (10x) increase in RSD survey area when the spectroscopic survey extends down to halo mass 10^13.5 (10¹⁴) h^–1 M_⊙. We also find that the σ(γ) of overlapping surveys is equivalent to that of surveys 1.5-2 times larger if they are separated on the sky. This gain is greatest when the spectroscopic mass threshold is 10¹³ -10¹⁴ h^–1 M_⊙, similar to LRG surveys. The gain of overlapping surveys is reduced for very deep or very shallow spectroscopic surveys, but any practical surveys are more powerful when overlapped than when separated. As a result, the gain of overlapped surveys is larger in the case when the primordial power spectrum normalization is uncertain by > 0.5%.

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Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: FG02-95ER40893

OSTI ID:: 1203603

Journal Information:: Monthly Notices of the Royal Astronomical Society, Vol. 422, Issue 2; ISSN 0035-8711

Publisher:: Royal Astronomical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 40 works

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79 ASTRONOMY AND ASTROPHYSICS
lensing and redshift surveys
gravitational lensing
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Title: Combining weak-lensing tomography and spectroscopic redshift surveys

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