The full-sky angular bispectrum in redshift space

@article{Dio2019TheFA,
  title={The full-sky angular bispectrum in redshift space},
  author={Enea di Dio and Ruth Durrer and Roy Maartens and Francesco Montanari and Obinna Umeh},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2019}
}
We compute the redshift-dependent angular bispectrum of galaxy number counts at tree-level, including nonlinear clustering bias and estimating numerically for the first time the effect of redshift space distortions (RSD). We show that for narrow redshift bins the amplitude of nonlinear RSD is comparable with the matter density perturbations. While our numerical results only include terms relevant on sub-horizon scales, the formalism can readily be extended to the full tree-level bispectrum. Our… 
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References

SHOWING 1-10 OF 60 REFERENCES
Relativistic wide-angle galaxy bispectrum on the light-cone
Given the important role that the galaxy bispectrum has recently acquired in cosmology and the scale and precision of forthcoming galaxy clustering observations, it is timely to derive the full
Cosmological information in the redshift-space bispectrum
We use the Fisher-matrix formalism to investigate whether the galaxy bispectrum in redshift space, B, contains additional cosmological information with respect to the power spectrum, P. We focus on a
The bispectrum of relativistic galaxy number counts
We discuss the dominant terms of the relativistic galaxy number counts to second order in cosmological perturbation theory on sub-Hubble scales and on intermediate to large redshifts. In particular,
Projected bispectrum in spherical harmonics and its application to angular galaxy catalogues
We present a theoretical and exact analysis of the bispectrum of projected galaxy catalogues. The result can be generalized to evaluate the projection in spherical harmonics of any 3D bispectrum and
Cosmological Parameter Estimation with Large Scale Structure Observations
We estimate the sensitivity of future galaxy surveys to cosmological parameters, using the redshift dependent angular power spectra of galaxy number counts, C-l(z(1), z(2)), calculated with all
A spherical harmonic analysis of redshift space
We re-examine the effects of redshift space distortion in all-sky galaxy redshift surveys in the formalism of spherical harmonics. Within this framework we show how one can treat both the large-scale
The full-sky relativistic correlation function and power spectrum of galaxy number counts. Part I: theoretical aspects
We derive an exact expression for the correlation function in redshift shells including all the relativistic contributions. This expression, which does not rely on the distant-observer or flat-sky
Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
High-precision constraints on primordial non-Gaussianity (PNG) will significantly improve our understanding of the physics of the early universe. Among all the subtleties in using large scale
The linear power spectrum of observed source number counts
We relate the observable number of sources per solid angle and redshift to the underlying proper source density and velocity, background evolution and line-of-sight potentials. We give an exact
The gravitational and lensing-ISW bispectrum of 21 cm radiation
Cosmic Microwave Background experiments from COBE to Planck, have launched cosmology into an era of precision science, where many cosmological parameters are now determined to the percent level. Next
...
...