Built on

W. R. Coulton and D. N. Spergel, The bispectrum of polarized galactic foregrounds , JCAP 1910
Original
1901
Earlier work this paper cites.
D. Munshi, J. D. McEwen, T. Kitching, P. Fosalba, R. Teyssier and J. Stadel, Estimating the Integrated Bispectrum from Weak Lensing Maps , 1902.04877
Original
1902
Earlier work this paper cites.
K. Schulten and R. G. Gordon, Exact recursive evaluation of 3j‐ and 6j‐coefficients for quantum‐mechanical coupling of angular momenta , Journal of Mathematical Physics 16
1961
Earlier work this paper cites.
D. M. Goldberg and D. N. Spergel, Microwave background bispectrum. 2. A probe of the low redshift universe , Phys. Rev. D59
1999
Earlier work this paper cites.
A. Lewis, A. Challinor and A. Lasenby, Efficient computation of CMB anisotropies in closed FRW models , Astrophys. J. 538
2000
Earlier work this paper cites.
E. Komatsu and D. N. Spergel, Acoustic signatures in the primary microwave background bispectrum , Phys. Rev. D63
2001
Earlier work this paper cites.
E. Komatsu, B. D. Wandelt, D. N. Spergel, A. J. Banday and K. M. Gorski, Measurement of the cosmic microwave background bispectrum on the COBE DMR sky maps , Astrophys. J. 566
2002
Earlier work this paper cites.
E. Komatsu and U. Seljak, The Sunyaev-Zel’dovich angular power spectrum as a probe of cosmological parameters , Mon. Not. Roy. Astron. Soc. 336
2002
Earlier work this paper cites.
M. Liguori, S. Matarrese and L. Moscardini, High-resolution simulations of cosmic microwave background non-gaussian maps in spherical coordinates , Astrophys. J. 597
2003
Earlier work this paper cites.
E. Komatsu, D. N. Spergel and B. D. Wandelt, Measuring primordial non-Gaussianity in the cosmic microwave background , Astrophys. J. 634
2005
Earlier work this paper cites.
K. M. Gorski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke et al., HEALPix - A Framework for high resolution discretization, and fast analysis of data distributed on the sphere , Astrophys. J. 622
2005
Earlier work this paper cites.
C. Hernandez-Monteagudo and R. A. Sunyaev, Cross terms and weak frequency dependent signals in the CMB sky , Mon. Not. Roy. Astron. Soc. 359
2005
Earlier work this paper cites.
P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark and M. Zaldarriaga, Limits on non-gaussianities from wmap data , JCAP 0605
2006
Earlier work this paper cites.
P. Creminelli, L. Senatore and M. Zaldarriaga, Estimators for local non-Gaussianities , JCAP 0703
2007
Earlier work this paper cites.
M. Liguori, A. Yadav, F. K. Hansen, E. Komatsu, S. Matarrese and B. Wandelt, Temperature and Polarization CMB Maps from Primordial non-Gaussianities of the Local Type , Phys. Rev. D76
Original
2007
Earlier work this paper cites.

Similar

M. A. Miville-Deschenes, G. Lagache, F. Boulanger and J. L. Puget, Statistical properties of dust far-infrared emission , Astron. Astrophys. 469
Original
2007
Cited alongside, same era.
H. K. Eriksen, J. B. Jewell, C. Dickinson, A. J. Banday, K. M. Gorski and C. R. Lawrence, Joint Bayesian component separation and CMB power spectrum estimation , Astrophys. J. 676
Original
2008
Cited alongside, same era.
J.-F. Cardoso, M. Le Jeune, J. Delabrouille, M. Betoule and G. Patanchon, Component Separation With Flexible Models—Application to Multichannel Astrophysical Observations , IEEE Journal of Selected Topics in Signal Processing 2
2008
Cited alongside, same era.
A. R. Duffy, J. Schaye, S. T. Kay and C. Dalla Vecchia, Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology , Mon. Not. Roy. Astron. Soc. 390
Original
2008
Cited alongside, same era.

Then

J. Chluba, D. Nagai, S. Sazonov and K. Nelson, A fast and accurate method for computing the Sunyaev-Zeldovich signal of hot galaxy clusters , Mon. Not. Roy. Astron. Soc. 426
Original
2012
Later among the works it cites.
N. Battaglia, J. R. Bond, C. Pfrommer and J. L. Sievers, On the Cluster Physics of Sunyaev-Zel’dovich Surveys II: Deconstructing the Thermal SZ Power Spectrum , Astrophys. J. 758
Original
2012
Later among the works it cites.
C.-T. Chiang, C. Wagner, F. Schmidt and E. Komatsu, Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum , JCAP 1405
Original
2014
Later among the works it cites.
R. Scoccimarro, Fast Estimators for Redshift-Space Clustering , Phys. Rev. D92
Original
2015
Later among the works it cites.

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2020

The integrated angular bispectrum

Jung, Gabriel, Oppizzi, Filippo, Ravenni, Andrea et al.

Understand

We study the position-dependent power spectrum and the integrated bispectrum statistic for 2D cosmological fields on the sphere (integrated angular bispectrum).

First, we derive a useful, $m$-independent, formula for the full-sky integrated angular bispectrum, based on the construction of azimuthally symmetric patches.
We then implement a pipeline for integrated angular bispectrum estimation, including a mean-field correction to account for spurious isotropy-breaking effects in realistic conditions (e.g., inhomogenous noise, sky masking).
Finally, we show examples of applications of this estimator to CMB analysis, both using simulations and actual Planck data.

Built on

W. R. Coulton and D. N. Spergel, The bispectrum of polarized galactic foregrounds , JCAP 1910
Original
1901
Earlier work this paper cites.
D. Munshi, J. D. McEwen, T. Kitching, P. Fosalba, R. Teyssier and J. Stadel, Estimating the Integrated Bispectrum from Weak Lensing Maps , 1902.04877
Original
1902
Earlier work this paper cites.
K. Schulten and R. G. Gordon, Exact recursive evaluation of 3j‐ and 6j‐coefficients for quantum‐mechanical coupling of angular momenta , Journal of Mathematical Physics 16
1961
Earlier work this paper cites.
D. M. Goldberg and D. N. Spergel, Microwave background bispectrum. 2. A probe of the low redshift universe , Phys. Rev. D59
1999
Earlier work this paper cites.
A. Lewis, A. Challinor and A. Lasenby, Efficient computation of CMB anisotropies in closed FRW models , Astrophys. J. 538
2000
Earlier work this paper cites.
E. Komatsu and D. N. Spergel, Acoustic signatures in the primary microwave background bispectrum , Phys. Rev. D63
2001
Earlier work this paper cites.
E. Komatsu, B. D. Wandelt, D. N. Spergel, A. J. Banday and K. M. Gorski, Measurement of the cosmic microwave background bispectrum on the COBE DMR sky maps , Astrophys. J. 566
2002
Earlier work this paper cites.
E. Komatsu and U. Seljak, The Sunyaev-Zel’dovich angular power spectrum as a probe of cosmological parameters , Mon. Not. Roy. Astron. Soc. 336
2002
Earlier work this paper cites.
M. Liguori, S. Matarrese and L. Moscardini, High-resolution simulations of cosmic microwave background non-gaussian maps in spherical coordinates , Astrophys. J. 597
2003
Earlier work this paper cites.
E. Komatsu, D. N. Spergel and B. D. Wandelt, Measuring primordial non-Gaussianity in the cosmic microwave background , Astrophys. J. 634
2005
Earlier work this paper cites.
K. M. Gorski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke et al., HEALPix - A Framework for high resolution discretization, and fast analysis of data distributed on the sphere , Astrophys. J. 622
2005
Earlier work this paper cites.
C. Hernandez-Monteagudo and R. A. Sunyaev, Cross terms and weak frequency dependent signals in the CMB sky , Mon. Not. Roy. Astron. Soc. 359
2005
Earlier work this paper cites.
P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark and M. Zaldarriaga, Limits on non-gaussianities from wmap data , JCAP 0605
2006
Earlier work this paper cites.
P. Creminelli, L. Senatore and M. Zaldarriaga, Estimators for local non-Gaussianities , JCAP 0703
2007
Earlier work this paper cites.
M. Liguori, A. Yadav, F. K. Hansen, E. Komatsu, S. Matarrese and B. Wandelt, Temperature and Polarization CMB Maps from Primordial non-Gaussianities of the Local Type , Phys. Rev. D76
Original
2007
Earlier work this paper cites.

Similar

M. A. Miville-Deschenes, G. Lagache, F. Boulanger and J. L. Puget, Statistical properties of dust far-infrared emission , Astron. Astrophys. 469
Original
2007
Cited alongside, same era.
H. K. Eriksen, J. B. Jewell, C. Dickinson, A. J. Banday, K. M. Gorski and C. R. Lawrence, Joint Bayesian component separation and CMB power spectrum estimation , Astrophys. J. 676
Original
2008
Cited alongside, same era.
J.-F. Cardoso, M. Le Jeune, J. Delabrouille, M. Betoule and G. Patanchon, Component Separation With Flexible Models—Application to Multichannel Astrophysical Observations , IEEE Journal of Selected Topics in Signal Processing 2
2008
Cited alongside, same era.
A. R. Duffy, J. Schaye, S. T. Kay and C. Dalla Vecchia, Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology , Mon. Not. Roy. Astron. Soc. 390
Original
2008
Cited alongside, same era.

Then

J. Chluba, D. Nagai, S. Sazonov and K. Nelson, A fast and accurate method for computing the Sunyaev-Zeldovich signal of hot galaxy clusters , Mon. Not. Roy. Astron. Soc. 426
Original
2012
Later among the works it cites.
N. Battaglia, J. R. Bond, C. Pfrommer and J. L. Sievers, On the Cluster Physics of Sunyaev-Zel’dovich Surveys II: Deconstructing the Thermal SZ Power Spectrum , Astrophys. J. 758
Original
2012
Later among the works it cites.
C.-T. Chiang, C. Wagner, F. Schmidt and E. Komatsu, Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum , JCAP 1405
Original
2014
Later among the works it cites.
R. Scoccimarro, Fast Estimators for Redshift-Space Clustering , Phys. Rev. D92
Original
2015
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

J. L. Tinker, A. V. Kravtsov, A. Klypin, K. Abazajian, M. S. Warren, G. Yepes et al., Toward a halo mass function for precision cosmology: The Limits of universality , Astrophys. J. 688

Original

2008

Cited alongside, same era.

F. Elsner and B. D. Wandelt, Improved Simulation of Non-Gaussian Temperature and Polarization Cosmic Microwave Background Maps , The Astrophysical Journal Supplement Series 184

Original

2009

Cited alongside, same era.

J. R. Fergusson, M. Liguori and E. P. S. Shellard, General CMB and Primordial Bispectrum Estimation I: Mode Expansion, Map-Making and Measures of fNL , Phys. Rev. D82

Original

2010

Cited alongside, same era.

M. Liguori, E. Sefusatti, J. R. Fergusson and E. Shellard, Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure , Adv. Astron. 2010

Original

2010

Cited alongside, same era.

J. L. Tinker, B. E. Robertson, A. V. Kravtsov, A. Klypin, M. S. Warren, G. Yepes et al., The Large-scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests , Astrophys. J. 724

Original

2010

Cited alongside, same era.

M. Arnaud, G. W. Pratt, R. Piffaretti, H. Boehringer, J. H. Croston and E. Pointecouteau, The universal galaxy cluster pressure profile from a representative sample of nearby systems (REXCESS) and the Y S Z Y_{SZ} - M 500 M_{500} relation , Astron. Astrophys. 517

Original

2010

Cited alongside, same era.

M. Bucher, B. Van Tent and C. S. Carvalho, Detecting Bispectral Acoustic Oscillations from Inflation Using a New Flexible Estimator , Mon. Not. Roy. Astron. Soc. 407

Original

2010

Cited alongside, same era.

A. Lewis, A. Challinor and D. Hanson, The shape of the CMB lensing bispectrum , JCAP 2011

Original

2011

Cited alongside, same era.

C.-T. Chiang, C. Wagner, A. G. Sánchez, F. Schmidt and E. Komatsu, Position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 10 CMASS Sample , JCAP 1509

Original

2015