Built on

A. Barreira, “The squeezed matter bispectrum covariance with responses”, JCAP
Original
1901
Earlier work this paper cites.
C. G. Sabiu, B. Hoyle, J. Kim, and X.-D. Li, “Graph Database Solution for Higher Order Spatial Statistics in the Era of Big Data”, Astrophys. J. Suppl
Original
1901
Earlier work this paper cites.
The Planck
Original
1905
Earlier work this paper cites.
A. Oddo, E. Sefusatti, C. Porciani, P. Monaco, and A. G. Sánchez, “Toward a robust inference method for the galaxy bispectrum: likelihood function and model selection”, JCAP
Original
1908
Earlier work this paper cites.
N. S. Sugiyama, S. Saito, F. Beutler, and H.-J. Seo, “Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space”, Mon. Not. Roy. Astron. Soc
Original
1908
Earlier work this paper cites.
C. Hahn, F. Villaescusa-Navarro, E. Castorina, and R. Scoccimarro, “Constraining M ν M_{\nu} with the bispectrum. Part I. Breaking parameter degeneracies”, JCAP
Original
1909
Earlier work this paper cites.
F. Villaescusa-Navarro et al
Original
1909
Earlier work this paper cites.
D. Gualdi, H. Gil-Marín, M. Manera, B. Joachimi, and O. Lahav, “GEOMAX: beyond linear compression for 3pt galaxy clustering statistics”, arXiv:1912.01011 [astro-ph.CO]
Original
1912
Earlier work this paper cites.
P. J. E. Peebles and E. J. Groth, “Statistical analysis of catalogs of extragalactic objects. V. Three-point correlation function for the galaxy distribution in the Zwicky catalog.”, \apj
1975
Earlier work this paper cites.
E. J. Groth and P. J. E. Peebles, “Statistical analysis of catalogs of extragalactic objects. 7. Two and three point correlation functions for the high - resolution Shane-Wirtanen catalog of galaxies”, Astrophys. J
1977
Earlier work this paper cites.
J. N. Fry and P. J. E. Peebles, “Statistical analysis of catalogs of extragalactic objects. IX. The four-point galaxy correlation function.”, \apj
1978
Earlier work this paper cites.
J. N. Fry and M. Seldner, “Transform analysis of the high-resolution Shane-Wirtanen Catalog - The power spectrum and the bispectrum”, \apj
1982
Earlier work this paper cites.
J. N. Fry, “The Galaxy correlation hierarchy in perturbation theory”, Astrophys. J
1984
Earlier work this paper cites.
N. Kaiser, “Clustering in real space and in redshift space”, Mon. Not. Roy. Astron. Soc
1987
Earlier work this paper cites.
J. N. Fry and E. Gaztanaga, “Biasing and hierarchical statistics in large scale structure”, Astrophys. J
1993
Earlier work this paper cites.
D. Munshi, A. Heavens, A. Cooray, J. Smidt, P. Coles, and P. Serra, “New Optimised Estimators for the Primordial Trispectrum”, Mon. Not. Roy. Astron. Soc
Original
1993
Earlier work this paper cites.
J. N. Fry, “The Minimal power spectrum: Higher order contributions”, Astrophys. J
1994
Earlier work this paper cites.
H. A. Feldman, N. Kaiser, and J. A. Peacock, “Power spectrum analysis of three-dimensional redshift surveys”, Astrophys. J
1994
Earlier work this paper cites.
S. Matarrese, L. Verde, and A. F. Heavens, “Large scale bias in the universe: Bispectrum method”, Mon. Not. Roy. Astron. Soc
1997
Earlier work this paper cites.
L. Verde, A. F. Heavens, S. Matarrese, and L. Moscardini, “Large scale bias in the universe. 2. Redshift space bispectrum”, Mon. Not. Roy. Astron. Soc
1998
Earlier work this paper cites.
R. Scoccimarro, S. Colombi, J. N. Fry, J. A. Frieman, E. Hivon, and A. Melott, “Nonlinear evolution of the bispectrum of cosmological perturbations”, Astrophys. J
1998
Earlier work this paper cites.
R. Scoccimarro, H. M. P. Couchman, and J. A. Frieman, “The Bispectrum as a Signature of Gravitational Instability in Redshift-Space”, Astrophys. J
1999
Earlier work this paper cites.
R. Scoccimarro and H. M. P. Couchman, “A fitting formula for the nonlinear evolution of the bispectrum”, Mon. Not. Roy. Astron. Soc
2001
Earlier work this paper cites.
R. Scoccimarro, H. A. Feldman, J. N. Fry, and J. A. Frieman, “The Bispectrum of IRAS redshift catalogs”, Astrophys. J
2001
Earlier work this paper cites.
M. Kunz, A. J. Banday, P. G. Castro, P. G. Ferreira, and K. M. Górski, “The Trispectrum of the 4 Year COBE DMR Data”, \apjl
2001
Earlier work this paper cites.
PhD thesis, Tohoku U., 2001
E. Komatsu, The pursuit of non-gaussian fluctuations in the cosmic microwave background · 2001
Earlier work this paper cites.
L. Verde and A. F. Heavens, “On the trispectrum as a Gaussian test for cosmology”, Astrophys. J
2001
Earlier work this paper cites.
H. Lee and C. Dvorkin, “Cosmological Angular Trispectra and Non-Gaussian Covariance”, JCAP
Original
2001
Earlier work this paper cites.
L. Verde et al
2002
Earlier work this paper cites.

Similar

R. Scoccimarro and R. K. Sheth, “PTHalos: A Fast method for generating mock galaxy distributions”, Mon. Not. Roy. Astron. Soc
2002
Cited alongside, same era.
D. Gualdi and L. Verde, “Galaxy redshift-space bispectrum: the Importance of Being Anisotropic”, JCAP
Original
2003
Cited alongside, same era.
G. de Troia, P. A. R. Ade, J. J. Bock, J. R. Bond, A. Boscaleri, C. R. Contaldi, B. P. Crill, P. de Bernardis, P. G. Ferreira, M. Giacometti, E. Hivon, V. V. Hristov, M. Kunz, A. E. Lange, S. Masi, P. D. Mauskopf, T. Montroy, P. Natoli, C. B. Netterfield, E. Pascale, F. Piacentini, G. Polenta, G. Romeo, and J. E. Ruhl, “The trispectrum of the cosmic microwave background on subdegree angular scales: an analysis of the BOOMERanG data”, Monthly Notices of the Royal Astronomical Society
2003
Cited alongside, same era.
N. Bartolo, E. Komatsu, S. Matarrese, and A. Riotto, “Non-Gaussianity from inflation: Theory and observations”, Phys. Rept
2004

Then

D. Bianchi, H. Gil-Marín, R. Ruggeri, and W. J. Percival, “Measuring line-of-sight dependent Fourier-space clustering using FFTs”, Mon. Not. Roy. Astron. Soc
Original
2015
Later among the works it cites.
D. Bertolini, K. Schutz, M. P. Solon, and K. M. Zurek, “The Trispectrum in the Effective Field Theory of Large Scale Structure”, JCAP
Original
2016
Later among the works it cites.
T. Lazeyras, M. Musso, and V. Desjacques, “Lagrangian bias of generic large-scale structure tracers”, Phys. Rev. D
Original
2016
Later among the works it cites.
F.-S. Kitaura et al
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2016
Later among the works it cites.
S. A. Rodríguez-Torres et al
Original

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2022

Integrated trispectrum detection from BOSS DR12 NGC CMASS

Gualdi, Davide, Verde, Licia

Understand

We present the first detection of the integrated trispectrum ($\mathit{i}$-trispectrum) monopole and quadrupoles signal from BOSS CMASS NGC DR12.

Extending the FKP estimators formalism to the Fourier transform of the four-point correlation function, we test shot-noise subtraction, Gaussianity of the i-trispectrum data-vector, significance of the detection and similarity between the signal from the data and from the galaxy mock catalogues used to numerically estimate the covariance matrix.
Using scales corresponding to modes from minimum $k_\mathrm{min}=0.03\,h/\mathrm{Mpc}$ to maximum $k_\mathrm{min}=0.15\,h/\mathrm{Mpc}$, we find a detection in terms of distance from the null hypothesis of $(10.4,5.2,8.3,1.1,3.1)$ $\sigma$-intervals for the i-trispectrum monopole and quadrupoles respectively.
This quantifies the presence of the physical signal of the four-points statistics on BOSS data.

Built on

A. Barreira, “The squeezed matter bispectrum covariance with responses”, JCAP
Original
1901
Earlier work this paper cites.
C. G. Sabiu, B. Hoyle, J. Kim, and X.-D. Li, “Graph Database Solution for Higher Order Spatial Statistics in the Era of Big Data”, Astrophys. J. Suppl
Original
1901
Earlier work this paper cites.
The Planck
Original
1905
Earlier work this paper cites.
A. Oddo, E. Sefusatti, C. Porciani, P. Monaco, and A. G. Sánchez, “Toward a robust inference method for the galaxy bispectrum: likelihood function and model selection”, JCAP
Original
1908
Earlier work this paper cites.
N. S. Sugiyama, S. Saito, F. Beutler, and H.-J. Seo, “Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space”, Mon. Not. Roy. Astron. Soc
Original
1908
Earlier work this paper cites.
C. Hahn, F. Villaescusa-Navarro, E. Castorina, and R. Scoccimarro, “Constraining M ν M_{\nu} with the bispectrum. Part I. Breaking parameter degeneracies”, JCAP
Original
1909
Earlier work this paper cites.
F. Villaescusa-Navarro et al
Original
1909
Earlier work this paper cites.
D. Gualdi, H. Gil-Marín, M. Manera, B. Joachimi, and O. Lahav, “GEOMAX: beyond linear compression for 3pt galaxy clustering statistics”, arXiv:1912.01011 [astro-ph.CO]
Original
1912
Earlier work this paper cites.
P. J. E. Peebles and E. J. Groth, “Statistical analysis of catalogs of extragalactic objects. V. Three-point correlation function for the galaxy distribution in the Zwicky catalog.”, \apj
1975
Earlier work this paper cites.
E. J. Groth and P. J. E. Peebles, “Statistical analysis of catalogs of extragalactic objects. 7. Two and three point correlation functions for the high - resolution Shane-Wirtanen catalog of galaxies”, Astrophys. J
1977
Earlier work this paper cites.
J. N. Fry and P. J. E. Peebles, “Statistical analysis of catalogs of extragalactic objects. IX. The four-point galaxy correlation function.”, \apj
1978
Earlier work this paper cites.
J. N. Fry and M. Seldner, “Transform analysis of the high-resolution Shane-Wirtanen Catalog - The power spectrum and the bispectrum”, \apj
1982
Earlier work this paper cites.
J. N. Fry, “The Galaxy correlation hierarchy in perturbation theory”, Astrophys. J
1984
Earlier work this paper cites.
N. Kaiser, “Clustering in real space and in redshift space”, Mon. Not. Roy. Astron. Soc
1987
Earlier work this paper cites.
J. N. Fry and E. Gaztanaga, “Biasing and hierarchical statistics in large scale structure”, Astrophys. J
1993
Earlier work this paper cites.
D. Munshi, A. Heavens, A. Cooray, J. Smidt, P. Coles, and P. Serra, “New Optimised Estimators for the Primordial Trispectrum”, Mon. Not. Roy. Astron. Soc
Original
1993
Earlier work this paper cites.
J. N. Fry, “The Minimal power spectrum: Higher order contributions”, Astrophys. J
1994
Earlier work this paper cites.
H. A. Feldman, N. Kaiser, and J. A. Peacock, “Power spectrum analysis of three-dimensional redshift surveys”, Astrophys. J
1994
Earlier work this paper cites.
S. Matarrese, L. Verde, and A. F. Heavens, “Large scale bias in the universe: Bispectrum method”, Mon. Not. Roy. Astron. Soc
1997
Earlier work this paper cites.
L. Verde, A. F. Heavens, S. Matarrese, and L. Moscardini, “Large scale bias in the universe. 2. Redshift space bispectrum”, Mon. Not. Roy. Astron. Soc
1998
Earlier work this paper cites.
R. Scoccimarro, S. Colombi, J. N. Fry, J. A. Frieman, E. Hivon, and A. Melott, “Nonlinear evolution of the bispectrum of cosmological perturbations”, Astrophys. J
1998
Earlier work this paper cites.
R. Scoccimarro, H. M. P. Couchman, and J. A. Frieman, “The Bispectrum as a Signature of Gravitational Instability in Redshift-Space”, Astrophys. J
1999
Earlier work this paper cites.
R. Scoccimarro and H. M. P. Couchman, “A fitting formula for the nonlinear evolution of the bispectrum”, Mon. Not. Roy. Astron. Soc
2001
Earlier work this paper cites.
R. Scoccimarro, H. A. Feldman, J. N. Fry, and J. A. Frieman, “The Bispectrum of IRAS redshift catalogs”, Astrophys. J
2001
Earlier work this paper cites.
M. Kunz, A. J. Banday, P. G. Castro, P. G. Ferreira, and K. M. Górski, “The Trispectrum of the 4 Year COBE DMR Data”, \apjl
2001
Earlier work this paper cites.
PhD thesis, Tohoku U., 2001
E. Komatsu, The pursuit of non-gaussian fluctuations in the cosmic microwave background · 2001
Earlier work this paper cites.
L. Verde and A. F. Heavens, “On the trispectrum as a Gaussian test for cosmology”, Astrophys. J
2001
Earlier work this paper cites.
H. Lee and C. Dvorkin, “Cosmological Angular Trispectra and Non-Gaussian Covariance”, JCAP
Original
2001
Earlier work this paper cites.
L. Verde et al
2002
Earlier work this paper cites.

Similar

R. Scoccimarro and R. K. Sheth, “PTHalos: A Fast method for generating mock galaxy distributions”, Mon. Not. Roy. Astron. Soc
2002
Cited alongside, same era.
D. Gualdi and L. Verde, “Galaxy redshift-space bispectrum: the Importance of Being Anisotropic”, JCAP
Original
2003
Cited alongside, same era.
G. de Troia, P. A. R. Ade, J. J. Bock, J. R. Bond, A. Boscaleri, C. R. Contaldi, B. P. Crill, P. de Bernardis, P. G. Ferreira, M. Giacometti, E. Hivon, V. V. Hristov, M. Kunz, A. E. Lange, S. Masi, P. D. Mauskopf, T. Montroy, P. Natoli, C. B. Netterfield, E. Pascale, F. Piacentini, G. Polenta, G. Romeo, and J. E. Ruhl, “The trispectrum of the cosmic microwave background on subdegree angular scales: an analysis of the BOOMERanG data”, Monthly Notices of the Royal Astronomical Society
2003
Cited alongside, same era.
N. Bartolo, E. Komatsu, S. Matarrese, and A. Riotto, “Non-Gaussianity from inflation: Theory and observations”, Phys. Rept
2004

Then

D. Bianchi, H. Gil-Marín, R. Ruggeri, and W. J. Percival, “Measuring line-of-sight dependent Fourier-space clustering using FFTs”, Mon. Not. Roy. Astron. Soc
Original
2015
Later among the works it cites.
D. Bertolini, K. Schutz, M. P. Solon, and K. M. Zurek, “The Trispectrum in the Effective Field Theory of Large Scale Structure”, JCAP
Original
2016
Later among the works it cites.
T. Lazeyras, M. Musso, and V. Desjacques, “Lagrangian bias of generic large-scale structure tracers”, Phys. Rev. D
Original
2016
Later among the works it cites.
F.-S. Kitaura et al
Original
2016
Later among the works it cites.
S. A. Rodríguez-Torres et al
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

E. Sefusatti and R. Scoccimarro, “Galaxy bias and halo-occupation numbers from large-scale clustering”, Phys. Rev. D

2005

Cited alongside, same era.

K. Yamamoto, M. Nakamichi, A. Kamino, B. A. Bassett, and H. Nishioka, “A Measurement of the quadrupole power spectrum in the clustering of the 2dF QSO Survey”, Publ. Astron. Soc. Jap

2006

Cited alongside, same era.

N. Agarwal, V. Desjacques, D. Jeong, and F. Schmidt, “Information content in the redshift-space galaxy power spectrum and bispectrum”, JCAP

Original

2007

Cited alongside, same era.

J. Hartlap, P. Simon, and P. Schneider, “Why your model parameter confidences might be too optimistic: Unbiased estimation of the inverse covariance matrix”, Astron. Astrophys

2007

Cited alongside, same era.

A. Cooray, C. Li, and A. Melchiorri, “The trispectrum of 21-cm background anisotropies as a probe of primordial non-Gaussianity”, Phys. Rev. D

Original

2008

Cited alongside, same era.

D. Gualdi, S. Novell, H. Gil-Marín, and L. Verde, “Matter trispectrum: theoretical modelling and comparison to N-body simulations”, JCAP

Original

2009

Cited alongside, same era.

F. Kamalinejad and Z. Slepian, “A Non-Degenerate Neutrino Mass Signature in the Galaxy Bispectrum”, arXiv:2011.00899 [astro-ph.CO]

Original