Universal Weak Lensing Distortion of Cosmological Correlation Functions

Abstract

Gravitational lensing affects observed cosmological correlation functions because observed images do not coincide with true source locations. We treat this universal effect in a general way here, deriving a single formula that can be used to determine to what extent this effect distorts any correlation function. We then apply the general formula to the correlation functions of galaxies, of the 21-cm radiation field, and of the CMB.

12 pages, 9 figures; accepted for publication in Phys. Rev. D; v2: references added

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Cited by in corpus (12)

• The linear power spectrum of observed source number counts
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Large-scale clustering of galaxies in general relativity
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• Dark Energy Survey Year 1 Results: Curved-Sky Weak Lensing Mass Map
• Lensing of 21-cm Fluctuations by Primordial Gravitational Waves
• The relativistic dipole and gravitational redshift on LSS
• The relativistic galaxy number counts in the weak field approximation
• Lensing smoothing of BAO wiggles
• Galaxy-cluster masses via 21st-century measurements of lensing of 21-cm fluctuations
• Delensing Galaxy Surveys
• Weak lensing deflection of three-point correlation functions