Built on

S. Wyithe and A. Loeb, The 21cm Power Spectrum After Reionization
Original
1926
Earlier work this paper cites.
D. N. Limber, The Analysis of Counts of the Extragalactic Nebulae in Terms of a Fluctuating Density Field. II
1954
Earlier work this paper cites.
Dover Publications, New York, 9th printing ed., 1970
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions · 1970
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M. H. Goroff, B. Grinstein, S. J. Rey, and M. B. Wise, Coupling of Modes of Cosmological Mass Density Fluctuations
1986
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A. F. Heavens and A. N. Taylor, A Spherical Harmonic Analysis of Redshift Space
1995
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J. N. Fry and D. Thomas, Projection and galaxy clustering fourier spectra
1999
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L. Verde, A. F. Heavens, and S. Matarrese, Projected bispectrum in spherical harmonics and its application to angular galaxy catalogues
2000
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PhD thesis, Tohoku U., Astron. Inst., 2001
E. Komatsu, The pursuit of non-gaussian fluctuations in the cosmic microwave background · 2001
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F. Bernardeau, S. Colombi, E. Gaztanaga, and R. Scoccimarro, Large scale structure of the universe and cosmological perturbation theory
2002
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T. Hahn, CUBA: A Library for multidimensional numerical integration
2005
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S. Furlanetto, S. P. Oh, and F. Briggs, Cosmology at Low Frequencies: The 21 cm Transition and the High-Redshift Universe
2006
Earlier work this paper cites.
M. LoVerde and N. Afshordi, Extended Limber Approximation
Original
2008
Earlier work this paper cites.
S. Wyithe and A. Loeb, Fluctuations in 21cm Emission After Reionization
Original
2008
Earlier work this paper cites.
C. Bonvin and R. Durrer, What galaxy surveys really measure
Original
2011
Earlier work this paper cites.
A. Challinor and A. Lewis, The linear power spectrum of observed source number counts
Original
2011
Earlier work this paper cites.
D. Blas, J. Lesgourgues, and T. Tram, The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
Original
2011
Earlier work this paper cites.

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2018

The Full-Sky Angular Bispectrum in Redshift Space

Di Dio, Enea, Durrer, Ruth, Maartens, Roy et al.

Understand

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 approach does not rely on the flat-sky approximation and it can be easily generalized to different sources by including the appropriate bias expansion.

Built on

S. Wyithe and A. Loeb, The 21cm Power Spectrum After Reionization
Original
1926
Earlier work this paper cites.
D. N. Limber, The Analysis of Counts of the Extragalactic Nebulae in Terms of a Fluctuating Density Field. II
1954
Earlier work this paper cites.
Dover Publications, New York, 9th printing ed., 1970
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions · 1970
Earlier work this paper cites.
M. H. Goroff, B. Grinstein, S. J. Rey, and M. B. Wise, Coupling of Modes of Cosmological Mass Density Fluctuations
1986
Earlier work this paper cites.
A. F. Heavens and A. N. Taylor, A Spherical Harmonic Analysis of Redshift Space
1995
Earlier work this paper cites.
J. N. Fry and D. Thomas, Projection and galaxy clustering fourier spectra
1999
Earlier work this paper cites.
L. Verde, A. F. Heavens, and S. Matarrese, Projected bispectrum in spherical harmonics and its application to angular galaxy catalogues
2000
Earlier work this paper cites.
PhD thesis, Tohoku U., Astron. Inst., 2001
E. Komatsu, The pursuit of non-gaussian fluctuations in the cosmic microwave background · 2001
Earlier work this paper cites.
F. Bernardeau, S. Colombi, E. Gaztanaga, and R. Scoccimarro, Large scale structure of the universe and cosmological perturbation theory
2002
Earlier work this paper cites.
T. Hahn, CUBA: A Library for multidimensional numerical integration
2005
Earlier work this paper cites.
S. Furlanetto, S. P. Oh, and F. Briggs, Cosmology at Low Frequencies: The 21 cm Transition and the High-Redshift Universe
2006
Earlier work this paper cites.
M. LoVerde and N. Afshordi, Extended Limber Approximation
Original
2008
Earlier work this paper cites.
S. Wyithe and A. Loeb, Fluctuations in 21cm Emission After Reionization
Original
2008
Earlier work this paper cites.
C. Bonvin and R. Durrer, What galaxy surveys really measure
Original
2011
Earlier work this paper cites.
A. Challinor and A. Lewis, The linear power spectrum of observed source number counts
Original
2011
Earlier work this paper cites.
D. Blas, J. Lesgourgues, and T. Tram, The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
Original
2011
Earlier work this paper cites.