Signatures of the Baryon Acoustic Oscillations on the Convergence Power Spectrum of Weak lensing by Large Scale Structure

TL;DR

This paper analyzes how Baryon Acoustic Oscillations (BAOs) imprint on the weak lensing convergence power spectrum, highlighting detection challenges with current and future surveys due to weak BAO signals.

Contribution

The study provides an analytical investigation of BAO signatures in weak lensing convergence spectra, comparing linear and nonlinear regimes and assessing detection prospects.

Findings

BAO wiggles appear in both linear and nonlinear convergence spectra.

BAOs are weaker in convergence spectra than in matter power spectra.

Detection of BAOs in weak lensing surveys faces significant technical challenges.

Abstract

We employ an analytical approach to investigate the signatures of Baryon Acoustic Oscillations (BAOs) on the convergence power spectrum of weak lensing by large scale structure. It is shown that the BAOs wiggles can be found in both of the linear and nonlinear convergence power spectra of weak lensing at about $40\le l\le600$, but they are weaker than that of matter power spectrum. Although the statistical error for LSST are greatly smaller than that of CFHT and SNAP survey especially at about $30<l<300$, they are still larger than the their maximum variations of BAOs wiggles. Thus, the detection of BAOs with the ongoing and upcoming surveys such as LSST, CFHT and SNAP survey confront a technical challenge.