Built on

F. R. Bouchet, R. Juszkiewicz, S. Colombi, and R. Pellat, APJL 394
1992
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F. Bernardeau, Astronomy and Astrophysics 312
1996
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M. Zaldarriaga and U. Seljak, Phys. Rev. D 59
1999
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A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538
2000
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R. Scoccimarro, H. A. Feldman, J. N. Fry, and J. A. Frieman, Astrophys. J. 546
2001
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H. A. Feldman, J. A. Frieman, J. N. Fry, and R. Scoccimarro, Physical Review Letters 86
2001
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R. Scoccimarro and H. M. P. Couchman, Mon. Not. R. Astron. Soc. 325
2001
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L. Verde, A. F. Heavens, W. J. Percival, S. Matarrese, C. M. Baugh, J. Bland-Hawthorn, T. Bridges, R. Cannon, S. Cole, M. Colless, C. Collins, W. Couch, G. Dalton, R. De Propris, S. P. Driver, G. Efstathiou, R. S. Ellis, C. S. Frenk, K. Glazebrook, C. Jackson, O. Lahav, I. Lewis, S. Lumsden, S. Maddox, D. Madgwick, P. Norberg, J. A. Peacock, B. A. Peterson, W. Sutherland, and K. Taylor, Mon. Not. R. Astron. Soc. 335
2002
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F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimarro, Physics Reports 367
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M. White, Astrophys. J. Supp. 143
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T. Okamoto and W. Hu, Phys. Rev. D 67
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Y. Wang, X. Yang, H. J. Mo, F. C. van den Bosch, and Y. Chu, Mon. Not. R. Astron. Soc. 353
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E. Komatsu, D. N. Spergel, and B. D. Wandelt, Astrophys. J. 634
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P. McDonald and A. Roy, JCAP 8
Original
2009
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M. C. Neyrinck, I. Szapudi, and A. S. Szalay, APJL 698
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2009
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2014

Near optimal bispectrum estimators for large-scale structure

Schmittfull, Marcel, Baldauf, Tobias, Seljak, Uroš

Understand

Clustering of large-scale structure provides significant cosmological information through the power spectrum of density perturbations.

Additional information can be gained from higher-order statistics like the bispectrum, especially to break the degeneracy between the linear halo bias $b_1$ and the amplitude of fluctuations $\sigma_8$.
We propose new simple, computationally inexpensive bispectrum statistics that are near optimal for the specific applications like bias determination.
Corresponding to the Legendre decomposition of nonlinear halo bias and gravitational coupling at second order, these statistics are given by the cross-spectra of the density with three quadratic fields: the squared density, a tidal term, and a shift term.

Built on

F. R. Bouchet, R. Juszkiewicz, S. Colombi, and R. Pellat, APJL 394
1992
Earlier work this paper cites.
F. Bernardeau, Astronomy and Astrophysics 312
1996
Earlier work this paper cites.
M. Zaldarriaga and U. Seljak, Phys. Rev. D 59
1999
Earlier work this paper cites.
A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538
2000
Earlier work this paper cites.
R. Scoccimarro, H. A. Feldman, J. N. Fry, and J. A. Frieman, Astrophys. J. 546
2001
Earlier work this paper cites.
H. A. Feldman, J. A. Frieman, J. N. Fry, and R. Scoccimarro, Physical Review Letters 86
2001
Earlier work this paper cites.
R. Scoccimarro and H. M. P. Couchman, Mon. Not. R. Astron. Soc. 325
2001
Earlier work this paper cites.
L. Verde, A. F. Heavens, W. J. Percival, S. Matarrese, C. M. Baugh, J. Bland-Hawthorn, T. Bridges, R. Cannon, S. Cole, M. Colless, C. Collins, W. Couch, G. Dalton, R. De Propris, S. P. Driver, G. Efstathiou, R. S. Ellis, C. S. Frenk, K. Glazebrook, C. Jackson, O. Lahav, I. Lewis, S. Lumsden, S. Maddox, D. Madgwick, P. Norberg, J. A. Peacock, B. A. Peterson, W. Sutherland, and K. Taylor, Mon. Not. R. Astron. Soc. 335
2002
Earlier work this paper cites.
F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimarro, Physics Reports 367
2002
Earlier work this paper cites.
M. White, Astrophys. J. Supp. 143
2002
Earlier work this paper cites.
T. Okamoto and W. Hu, Phys. Rev. D 67
2003
Earlier work this paper cites.
Y. P. Jing and G. Börner, Astrophys. J. 607
2004
Earlier work this paper cites.
Y. Wang, X. Yang, H. J. Mo, F. C. van den Bosch, and Y. Chu, Mon. Not. R. Astron. Soc. 353
2004
Earlier work this paper cites.
E. Komatsu, D. N. Spergel, and B. D. Wandelt, Astrophys. J. 634
2005
Earlier work this paper cites.
P. McDonald and A. Roy, JCAP 8
Original
2009
Earlier work this paper cites.
M. C. Neyrinck, I. Szapudi, and A. S. Szalay, APJL 698
Original
2009
Earlier work this paper cites.