Universal Weak Lensing Distortion of Cosmological Correlation Functions
Scott Dodelson, Fabian Schmidt, Alberto Vallinotto
TL;DR
This paper derives a universal formula to quantify how gravitational lensing universally distorts various cosmological correlation functions, including galaxies, 21-cm radiation, and the CMB, affecting their interpretation.
Contribution
It introduces a general formula for lensing distortion applicable to any cosmological correlation function, unifying the treatment across different observations.
Findings
Derived a single, universal formula for lensing distortion effects.
Applied the formula to galaxies, 21-cm radiation, and CMB correlation functions.
Provides a tool for correcting lensing effects in cosmological data analysis.
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.
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