Detecting the relativistic galaxy bispectrum
arXiv:1911.02398 · doi:10.1088/1475-7516/2020/03/065
Abstract
The Fourier-space galaxy bispectrum is complex, with the imaginary part arising from leading-order relativistic corrections, due to Doppler, gravitational redshift and related line-of-sight effects in redshift space. The detection of the imaginary part of the bispectrum is potentially a smoking gun signal of relativistic contributions. We investigate whether next-generation spectroscopic surveys could make such a detection. For a Stage IV spectroscopic survey similar to Euclid, we find that the cumulative signal to noise of this relativistic signature is . Long-mode relativistic effects couple to short-mode Newtonian effects in the galaxy bispectrum, but not in the galaxy power spectrum. This is the basis for detectability of relativistic effects in the bispectrum of a single galaxy survey, whereas the power spectrum requires multiple galaxy surveys to detect the corresponding signal.
arXiv comment13 pages, 10 figures, Typo in equation (3.8) corrected - results unchanged
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