http://arxiv.org/abs/2211.01523
We investigate nonlinear structure formation in the fuzzy dark matter (FDM) model in comparison to cold dark matter (CDM) models from a weak lensing perspective using perturbative methods. We use Eulerian perturbation theory up to fourth order to compute the tree-level matter trispectrum and the one-loop matter spectrum and bispectrum from consistently chosen initial conditions. We go on to derive the respective lensing spectra, bispectra and trispectra in CDM and FDM in the context of a Euclid-like weak lensing survey. Finally, we compute the attainable cumulative signal-to-noise ratios and an estimate of the attainable $\chi^2$-functionals for distinguishing FDM from CDM at particle masses $m=10^{-21}$ eV, $m = 10^{-22}$ eV and $m = 10^{-23}$ eV. We find that a weak lensing survey can potentially be used to distinguish between the FDM and CDM cases up to a mass of $m = 10^{-22}$ eV.
A. Kunkel, T. Chiueh and B. Schäfer
Fri, 4 Nov 22
3/84
Comments: 18 pages, 25 figures
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