Sachs-Wolfe at second order: The CMB bispectrum on large angular scales

Journal of Cosmology and Astroparticle Physics

Volumn 2009, Issue 8, 2009, Pages

  Boubekeur, Lotfi ^a,b,c   Creminelli, Paolo ^c   D'Amico, Guido ^d,e   Norẽa, Jorge ^d   Vernizzi, Filippo ^f,g  

^a UNIVERSITY OF VALENCIA   (Spain)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^d SISSA   (Italy)

^e SEZIONE DI TRIESTE   (Italy)

^f DIF   (France)

^g CNRS   (France)

Author keywords

CMBR theory; Cosmological perturbation theory; Non gaussianity

Indexed keywords

EID: 70350641711     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2009/08/029     Document Type: Article

References (47)

1. WMAP collaboration, E. Komatsu et al., 2009 Five-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 180 330 [0803.0547]
2. A. Slosar, C. Hirata, U. Seljak, S. Ho and N. Padmanabhan, 2008 Constraints on local primordial non-gaussianity from large scale structure J. Cosmol. Astropart. Phys. JCAP08(2008)031 [0805.3580]
3. local from WMAP 5-year data, [0901.2572]
4. U. Seljak and M. Zaldarriaga, 1999 Direct signature of evolving gravitational potential from Cosmic Microwave Background, Phys. Rev. D 60 043504 [astro-ph/9811123]
5. D.M. Goldberg and D.N. Spergel, 1999 Microwave background bispectrum. 2. A probe of the low redshift universe, Phys. Rev. D 59 103002 [astro-ph/9811251]
6. R. Khatri and B.D. Wandelt, 2009 Crinkles in the last scattering surface: non-gaussianity from inhomogeneous recombination, Phys. Rev. D 79 023501 [0810.4370]
7. L. Senatore, S. Tassev and M. Zaldarriaga, Cosmological perturbations at second order and recombination perturbed, [0812.3652]
8. L. Senatore, S. Tassev and M. Zaldarriaga, Non-gaussianities from perturbing recombination, [0812.3658]
9. C. Pitrou, J.-P. Uzan and F. Bernardeau, 2008 Cosmic microwave background bispectrum on small angular scales, Phys. Rev. D 78 063526 [0807.0341]
10. N. Bartolo and A. Riotto, 2009 On the non-gaussianity from recombination J. Cosmol. Astropart. Phys. JCAP03(2009)017 [0811.4584]
11. N. Bartolo, S. Matarrese and A. Riotto, 2007 CMB anisotropies at second-order II: analytical approach J. Cosmol. Astropart. Phys. JCAP01(2007)019 [astro-ph/0610110]
12. D. Nitta, E. Komatsu, N. Bartolo, S. Matarrese and A. Riotto, 2009 CMB anisotropies at second order III: bispectrum from products of the first-order perturbations J. Cosmol. Astropart. Phys. JCAP05(2009)014 [0903.0894]
13. C. Pitrou, 2009 The radiative transfer at second order: a full treatment of the Boltzmann equation with polarization, Class. Quant. Grav. 26 065006 [0809.3036]
14. N. Bartolo, S. Matarrese and A. Riotto, 2004 Gauge-invariant temperature anisotropies and primordial non-gaussianity, Phys. Rev. Lett. 93 231301 [astro-ph/0407505]
15. N. Bartolo, S. Matarrese and A. Riotto, 2005 Non-gaussianity of large-scale CMB anisotropies beyond perturbation theory J. Cosmol. Astropart. Phys. JCAP08(2005)010 [astro-ph/0506410]
16. N. Bartolo, S. Matarrese and A. Riotto, 2006 The full second-order radiation transfer function for large-scale CMB anisotropies J. Cosmol. Astropart. Phys. JCAP05(2006)010 [astro-ph/0512481]
17. R.K. Sachs and A.M. Wolfe, 1967 Perturbations of a cosmological model and angular variations of the microwave background, Astrophys. J. 147 73
18. R.K. Sachs and A.M. Wolfe, 2007 Gen. Rel. Grav. 39 1929
19. S. Matarrese, S. Mollerach and M. Bruni, 1998 Second-order perturbations of the Einstein-de Sitter universe, Phys. Rev. D 58 043504 [astro-ph/9707278]
20. nd order metric in matter dominance J. Cosmol. Astropart. Phys. JCAP08(2008)028 [0806.1016]
21. S. Mollerach, A. Gangui, F. Lucchin and S. Matarrese, 1995 Contribution to the three point function of the cosmic microwave background from the Rees-Sciama effect, Astrophys. J. 453 1 [astro-ph/9503115]
22. D. Munshi, T. Souradeep and A.A. Starobinsky, 1995 Skewness of cosmic microwave background temperature fluctuations due to nonlinear gravitational instability, Astrophys. J. 454 552 [astro-ph/9501100]
23. P. Creminelli and M. Zaldarriaga, 2004 CMB 3-point functions generated by non-linearities at recombination, Phys. Rev. D 70 083532 [astro-ph/0405428]
24. D. Babich, P. Creminelli and M. Zaldarriaga, 2004 The shape of non-gaussianities J. Cosmol. Astropart. Phys. JCAP08(2004)009 [astro-ph/0405356]
25. T. Pyne and S.M. Carroll, 1996 Higher-order gravitational perturbations of the Cosmic Microwave Background, Phys. Rev. D 53 2920 [astro-ph/9510041]
26. S. Mollerach and S. Matarrese, 1997 Cosmic Microwave Background anisotropies from second order gravitational perturbations, Phys. Rev. D 56 4494 [astro-ph/9702234]
27. For a pedagogical introduction to Liouville's theorem in General Relativity see C.W. Misner, K.S. Thorne and J.A. Wheeler, 1973 Gravitation, W.H. Freeman and Company, San Francisco U.S.A. [http://www.slac.stanford.edu/spires/ find/hep/www?irn=6627595]
28. J.M. Maldacena, 2003 Non-gaussian features of primordial fluctuations in single field inflationary models J. High Energy Phys. JHEP05(2003)013 [astro-ph/0210603]
29. V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, 2003 Second-order cosmological perturbations from inflation, Nucl. Phys. B 667 119 [astro-ph/0209156]
30. D. Langlois and F. Vernizzi, 2007 Nonlinear perturbations of cosmological scalar fields J. Cosmol. Astropart. Phys. JCAP02(2007)017 [astro-ph/0610064]
31. W. Hu and A. Cooray, 2001 Gravitational time delay effects on Cosmic Microwave Background anisotropies, Phys. Rev. D 63 023504 [astro-ph/0008001]
32. U. Seljak, 1996 Gravitational lensing effect on cosmic microwave background anisotropies: a power spectrum approach, Astrophys. J. 463 1 [astro-ph/9505109]
33. W. Hu, 2000 Weak lensing of the CMB: a harmonic approach, Phys. Rev. D 62 043007 [astro-ph/0001303]
34. WMAP collaboration, E. Komatsu et al., 2003 First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: tests of gaussianitys, Astrophys. J. Suppl. 148 119 [astro-ph/0302223]
35. M. Liguori, F.K. Hansen, E. Komatsu, S. Matarrese and A. Riotto, 2006 Testing primordial non-gaussianity in CMB anisotropies, Phys. Rev. D 73 043505 [astro-ph/0509098]
36. P. Creminelli, 2003 On non-gaussianities in single-field inflation J. Cosmol. Astropart. Phys. JCAP10(2003)003 [astro-ph/0306122]
37. P.J.E. Peebles, 1980 The large-scale structure of the universe, Princeton Series in Physics, Princeton University Press, Princeton U.S.A.
38. M.J. Rees and D.W. Sciama, 1968 Large scale density inhomogeneities in the universe, Nature 217 511
39. D.N. Spergel and D.M. Goldberg, 1999 Microwave background bispectrum. 1. Basic formalism, Phys. Rev. D 59 103001 [astro-ph/9811252]
40. A. Lewis and A. Challinor, 2006 Weak gravitational lensing of the CMB, Phys. Rept. 429 1 [astro-ph/0601594]
41. M. Zaldarriaga, 2000 Lensing of the CMB: non-gaussian aspects, Phys. Rev. D 62 063510 [astro-ph/9910498]
42. P. Creminelli and M. Zaldarriaga, 2004 Single field consistency relation for the 3-point function J. Cosmol. Astropart. Phys. JCAP10(2004)006 [astro-ph/0407059]
43. C. Cheung, A.L. Fitzpatrick, J. Kaplan and L. Senatore, 2008 On the consistency relation of the 3-point function in single field inflation J. Cosmol. Astropart. Phys. JCAP02(2008)021 [0709.0295]
44. D. Seery, M.S. Sloth and F. Vernizzi, 2009 Inflationary trispectrum from graviton exchange J. Cosmol. Astropart. Phys. JCAP03(2009)018 [0811.3934]
45. P.D. Meerburg, J.P. van der Schaar and P.S. Corasaniti, 2009 Signatures of initial state modifications on bispectrum statistics J. Cosmol. Astropart. Phys. JCAP05(2009)018 [0901.4044]
46. L. Senatore, K.M. Smith and M. Zaldarriaga, Non-gaussianities in single field inflation and their optimal limits from the WMAP 5-year data, [0905.3746]
47. D. Hanson, K.M. Smith, A. Challinor and M. Liguori, CMB lensing and primordial non-gaussianity, [0905.4732]