Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 3, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2020/03/065
Keywords
cosmological parameters from LSS; cosmological perturbation theory; redshift surveys
Funding
- South African Radio Astronomy Observatory (SARAO)
- National Research Foundation [75415]
- U.K. Science & Technology Facilities Council (STFC) Consolidated Grants [ST/N000668/1, ST/K0090X/1]
- STFC Consolidated Grant [ST/P000592/1]
- 'Departments of Excellence 2018-2022' Grant - Italian Ministry of Education, University and Research (miur) [L. 232/2016]
- miur through the Rita Levi Montalcini project 'prometheus | Probing and Relating Observables with Multi-wavelength Experiments To Help Enlightening the Universe's Structure'
- STFC [ST/S000550/1] Funding Source: UKRI
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The Fourier 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 H alpha survey similar to Euclid, we find that the cumulative signal to noise of this relativistic signature is O(10). 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.
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