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C. Uggla and J. Wainwright, Simple expressions for second order density perturbations in standard cosmology , Class. Quant. Grav. 31
Original
1929
Earlier work this paper cites.
H. Kodama and M. Sasaki, Cosmological Perturbation Theory , Prog. Theor. Phys. Suppl. 78
1984
Earlier work this paper cites.
D. S. Salopek and J. R. Bond, Nonlinear evolution of long wavelength metric fluctuations in inflationary models , Phys. Rev. D42
1990
Earlier work this paper cites.
C.-P. Ma and E. Bertschinger, Cosmological perturbation theory in the synchronous and conformal Newtonian gauges , Astrophys. J. 455
1995
Earlier work this paper cites.
T. Matsubara, On second order perturbation theories of gravitational instability in Friedmann-Lemaitre models , Prog. Theor. Phys. 94
1995
Earlier work this paper cites.
D. Wands, K. A. Malik, D. H. Lyth and A. R. Liddle, A New approach to the evolution of cosmological perturbations on large scales , Phys. Rev. D62
2000
Earlier work this paper cites.
F. Bernardeau, S. Colombi, E. Gaztanaga and R. Scoccimarro, Large scale structure of the universe and cosmological perturbation theory , Phys. Rept. 367
2002
Earlier work this paper cites.
A. Lewis and A. Challinor, Evolution of cosmological dark matter perturbations , Phys. Rev. D 66
2002
Earlier work this paper cites.
S. Weinberg, Adiabatic modes in cosmology , Phys. Rev. D67
2003
Earlier work this paper cites.
J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
H. Noh and J.-c. Hwang, Second-order perturbations of the Friedmann world model , Phys. Rev. D69
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, CMB 3-point functions generated by nonlinearities at recombination , Phys. Rev. D 70
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, Single field consistency relation for the 3-point function , JCAP 0410
2004
Earlier work this paper cites.
N. Bartolo, S. Matarrese and A. Riotto, Signatures of primordial non-Gaussianity in the large-scale structure of the Universe , JCAP 0510
2005
Earlier work this paper cites.
E. Sefusatti, M. Crocce, S. Pueblas and R. Scoccimarro, Cosmology and the Bispectrum , Phys. Rev. D74
2006
Earlier work this paper cites.

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Springer Theses. Springer International Publishing, 2015, 10.1088/1475-7516/2013/04/003
G. Pettinari, The Intrinsic Bispectrum of the Cosmic Microwave Background · 2013
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Later among the works it cites.
Z. Huang and F. Vernizzi, The full CMB temperature bispectrum from single-field inflation , Phys.Rev. D89
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Later among the works it cites.
S. C. Su, E. A. Lim and E. Shellard, Cosmic microwave background bispectrum from nonlinear effects during recombination , Phys. Rev. D90
2014
Later among the works it cites.
G. W. Pettinari, C. Fidler, R. Crittenden, K. Koyama, A. Lewis and D. Wands, Impact of polarization on the intrinsic cosmic microwave background bispectrum , Phys. Rev. D90

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2016

The Intrinsic Matter Bispectrum in $\Lambda$CDM

Tram, Thomas, Fidler, Christian, Crittenden, Robert et al.

Understand

We present a fully relativistic calculation of the matter bispectrum at second order in cosmological perturbation theory assuming a Gaussian primordial curvature perturbation.

For the first time we perform a full numerical integration of the bispectrum for both baryons and cold dark matter using the second-order Einstein-Boltzmann code, SONG.
We review previous analytical results and provide an improved analytic approximation for the second-order kernel in Poisson gauge which incorporates Newtonian nonlinear evolution, relativistic initial conditions, the effect of radiation at early times and the cosmological constant at late times.
Our improved kernel provides a percent level fit to the full numerical result at late times for most configurations, including both equilateral shapes and the squeezed limit.

Built on

C. Uggla and J. Wainwright, Simple expressions for second order density perturbations in standard cosmology , Class. Quant. Grav. 31
Original
1929
Earlier work this paper cites.
H. Kodama and M. Sasaki, Cosmological Perturbation Theory , Prog. Theor. Phys. Suppl. 78
1984
Earlier work this paper cites.
D. S. Salopek and J. R. Bond, Nonlinear evolution of long wavelength metric fluctuations in inflationary models , Phys. Rev. D42
1990
Earlier work this paper cites.
C.-P. Ma and E. Bertschinger, Cosmological perturbation theory in the synchronous and conformal Newtonian gauges , Astrophys. J. 455
1995
Earlier work this paper cites.
T. Matsubara, On second order perturbation theories of gravitational instability in Friedmann-Lemaitre models , Prog. Theor. Phys. 94
1995
Earlier work this paper cites.
D. Wands, K. A. Malik, D. H. Lyth and A. R. Liddle, A New approach to the evolution of cosmological perturbations on large scales , Phys. Rev. D62
2000
Earlier work this paper cites.
F. Bernardeau, S. Colombi, E. Gaztanaga and R. Scoccimarro, Large scale structure of the universe and cosmological perturbation theory , Phys. Rept. 367
2002
Earlier work this paper cites.
A. Lewis and A. Challinor, Evolution of cosmological dark matter perturbations , Phys. Rev. D 66
2002
Earlier work this paper cites.
S. Weinberg, Adiabatic modes in cosmology , Phys. Rev. D67
2003
Earlier work this paper cites.
J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
H. Noh and J.-c. Hwang, Second-order perturbations of the Friedmann world model , Phys. Rev. D69
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, CMB 3-point functions generated by nonlinearities at recombination , Phys. Rev. D 70
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, Single field consistency relation for the 3-point function , JCAP 0410
2004
Earlier work this paper cites.
N. Bartolo, S. Matarrese and A. Riotto, Signatures of primordial non-Gaussianity in the large-scale structure of the Universe , JCAP 0510
2005
Earlier work this paper cites.
E. Sefusatti, M. Crocce, S. Pueblas and R. Scoccimarro, Cosmology and the Bispectrum , Phys. Rev. D74
2006
Earlier work this paper cites.