Large non-Gaussianities in the effective field theory approach to single-field inflation: The bispectrum

Journal of Cosmology and Astroparticle Physics

Volumn 2010, Issue 8, 2010, Pages

  Bartolo, Nicola ^a,b   Fasiello, Matteo ^c   Matarrese, Sabino ^a,b   Riotto, Antonio ^a,d  

^a UNIVERSITY OF PADOVA   (Italy)

^b SEZIONE DI PADOVA   (Italy)

^c UNIVERSITY OF MILANO BICOCCA   (Italy)

^d CERN   (Switzerland)

Author keywords

Cosmological perturbation theory; Inflation; Non gaussianity

Indexed keywords

EID: 78449299214     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2010/08/008     Document Type: Article

References (73)

1. G.F. Smoot et al., Structure in the COBE differential microwave radiometer first year maps, Astrophys. J. 396 (1992) LI [SPIRES].
2. C.L. Bennett et al., 4-Year COBE DMR cosmic microwave background observations: maps and basic results, Astrophys. J. 464 (1996) LI [astro-ph/9601067] [SPIRES].
3. K.M. Gorski et al., Power spectrum of primordial inhomogeneity determined from the 4-year COBE DMR sky maps, Astrophys. J. 464 (1996) L11 [astro-ph/9601063] [SPIRES].
4. WMAP collaboration, D.N. Spergel et al., Wilkinson Microwave Anisotropy Probe (WMAP) three year results: implications for cosmology, Astrophys. J. Suppl 170 (2007) 377 [astro-ph/0603449] [SPIRES].
5. WMAP collaboration, E. Komatsu et al., Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: cosmological interpretation, Astrophys. J. Suppl. 180 (2009) 330 [arXiv: 0803.0547] [SPIRES].
6. E. Komatsu et al., Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: cosmological Interpretation, arXiv: 1001.4538 [SPIRES].
7. V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, Second-order cosmological perturbations from inflation, Nud. Phys. B 667 (2003) 119 [astro-ph/0209156] [SPIRES]
8. J.M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models, JHEP 05 (2003) 013 [astro-ph/0210603] [SPIRES].
9. N. Bartolo, S. Matarrese and A. Riotto, Non-Gaussianity from inflation, Phys. Rev. D 65 (2002) 103505 [hep-ph/0112261] [SPIRES]
10. F. Bernardeau and J.-P. Uzan, Non-Gaussianity in multi-field inflation, Phys. Rev. D 66 (2002) 103506 [hep-ph/0207295] [SPIRES]
11. Inflationary models inducing non-Gaussian metric fluctuations, Phys. Rev. D 67 (2003) 121301 [astro-ph/0209330] [SPIRES]
12. P. Creminelli, On non-Gaussianities in single-field inflation, JCAP 10 (2003) 003 [astro-ph/0306122] [SPIRES]
13. N. Bartolo, S. Matarrese and A. Riotto, Evolution of second-order cosmological perturbations and non-Gaussianity, JCAP 01 (2004) 003 [astro-ph/0309692] [SPIRES]
14. On non-Gaussianity in the curvaton scenario, Phys. Rev. D 69 (2004) 043503 [hep-ph/0309033] [SPIRES]
15. S. Matarrese and A. Riotto, Large-scale curvature perturbations with sPatial and time variations of the inflaton decay rate, JCAP 08 (2003) 007 [astro-ph/0306416] [SPIRES]
16. D. Seery and J.E. Lidsey, Primordial non-Gaussianities in single field inflation, JCAP 06 (2005) 003 [astro-ph/0503692] [SPIRES]
17. Primordial non-Gaussianities from multiple-field inflation, JCAP 09 (2005) 011 [astro-ph/0506056] [SPIRES]
18. G.I. Rigopoulos, E.P.S. Shellard and B.J.W. van Tent, Large non-Gaussianity in multiple-field inflation, Phys. Rev. D 73 (2006) 083522 [astro-ph/0506704] [SPIRES].
19. X. Chen, R. Easther and E.A. Lim, Generation and characterization of large non-Gaussianities in single field inflation, JCAP 04 (2008) 010 [arXiv: 0801.3295] [SPIRES]
20. D. Langlois, S. Renaux-Petel, D.A. Steer and T. Tanaka, Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation, Phys. Rev. D 78 (2008) 063523 [arXiv : 0806.0336] [SPIRES]
21. F. Arroja, S. Mizuno and K. Koyama, Non-Gaussianity from the bispectrum in general multiple field inflation, JCAP 08 (2008) 015 [arXiv: 0806.0619] [SPIRES].
22. D. Babich, P. Creminelli and M. Zaldarriaga, The shape of non-Gaussianities, JCAP 08 (2004) 009 [astro-ph/0405356] [SPIRES].
23. X. Chen, M.-x. Huang, S. Kachru and G. Shiu, Observational signatures and non-Gaussianities of general single field inflation, JCAP 01 (2007) 002 [hep-th/0605045] [SPIRES].
24. D. Seery, J.E. Lidsey and M.S. Sloth, The inflationary trispectrum, JCAP 01 (2007) 027 [astro-ph/0610210] [SPIRES];
25. X. Chen, M.-x. Huang and G. Shiu, The inflationary trispectrum for models with large nonGaussianities, Phys. Rev. D 74 (2006) 121301 [hep-th/0610235] [SPIRES]
26. D. Seery and J.E. Lidsey, Non-Gaussianity from the inflationary trispectrum, JCAP 01 (2007) 008 [astro-ph/0611034]' [SPIRES]
27. X. Chen, R. Easther and E.A. Lim, Large non-Gaussianities in single field inflation, JCAP 06 (2007) 023 [astro-ph/0611645] [SPIRES]
28. F. Arroja and K. Koyama, Non-Gaussianity from the trispectrum in general single field inflation, Phys. Rev. D 77 (2008) 083517 [arXiv:0802.1167] [SPIRES]
29. D. Seery, M.S. Sloth and F. Vernizzi, Inflationary trispectrum from graviton exchange, JCAP 03 (2009) 018 [arXiv: 0811.3934] [SPIRES].
30. D. Boyanovsky, H.J. de Vega and N.G. Sanchez, Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations, Nucl. Phys. B 747 (2006) 25 [astro-ph/0503669] [SPIRES]
31. S. Weinberg, Quantum contributions to cosmological correlations, Phys. Rev. D 72 (2005) 043514 [hep-th/0506236] [SPIRES]
32. D. Boyanovsky, H.J. de Vega and N.G. Sanchez, Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies, Phys. Rev. D 72 (2005) 103006 [astro-ph/0507596] [SPIRES]
33. M.S. Sloth, On the one loop corrections to inflation and the CMB anisotropics, Nucl. Phys. B 748 (2006) 149 [astro-ph/0604488] [SPIRES]
34. S. Weinberg, Quantum contributions to cosmological correlations. II: Can these corrections become large?, Phys. Rev. D 74 (2006) 023508 [hep-th/0605244] [SPIRES]
35. M.S. Sloth, On the one loop corrections to inflation. II: the consistency relation, Nucl. Phys. B 775 (2007) 78 [hep-th/0612138] [SPIRES]
36. D. Seery, One-loop corrections to a scalar field during inflation, JCAP 11 (2007) 025 [arXiv : 0707.3377] [SPIRES]
37. One-loop corrections to the curvature perturbation from inflation, JCAP 02 (2008) 006 [arXiv: 0707.3378] [SPIRES]
38. A. Riotto and M.S. Sloth, On resumming inflationary perturbations beyond one-loop, JCAP 04 (2008) 030 [arXiv:0801.1845] [SPIRES]
39. L. Leblond and S. Shandera, Simple Bounds from the Perturbative Regime of Inflation, JCAP 08 (2008) 007 [arXiv:0802.2290] [SPIRES]
40. E. Dimastrogiovanni and N. Bartolo, One-loop graviton corrections to the curvature perturbation from inflation, JCAP 11 (2008) 016 [arXiv:0807.2790] [SPIRES]
41. P. Adshead, R. Easther and E.A. Lim, Cosmology with many light scalar fields: stochastic inflation and loop corrections, Phys. Rev. D 79 (2009) 063504 [arXiv:0809.4008] [SPIRES]
42. D. Boyanovsky, C. Destri, H.J. de Vega and N.G. Sanchez, The effective theory of inflation in the standard model of the universe and the CMB+LSS data analysis, Int. J. Mod. Phys. A 24 (2009) 3669 [arXiv: 0901.0549] [SPIRES]
43. L. Senatore and M. Zaldarriaga, On loops in inflation, arXiv:0912.2734 [SPIRES].
44. N. Bartolo, E. Komatsu, S. Matarrese and A. Riotto, Non-Gaussianity from inflation: theory and observations, Phys. Rept. 402 (2004) 103 [astro-ph/0406398] [SPIRES].
45. http://planck.esa.int/.
46. N. Mandolesi et al., Planck pre-launch status: the Planck-LFI programme, arXiv: 1001.2657 [SPIRES].
47. M. Liguori, E. Sefusatti, J.R. Fergusson and E.P.S. Shellard, Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure, arXiv : 1001.4707 [SPIRES].
48. L. Verde and S. Matarrese, Detectability of the effect of inflationary non-Gaussianity on halo bias, Astrophys. J. 706 (2009) L91 [arXiv:0909.3224] [SPIRES].
49. K. Koyama, Non-Gaussianity of quantum fields during inflation, Class. Quant. Grav. 27 (2010) 124001 [arXiv: 1002.0600] [SPIRES].
50. N. Bartolo, S. Matarrese and A. Riotto, Non-Gaussianity and the cosmic microwave background anisotropics, arXiv: 1001.3957 [SPIRES].
51. X. Chen, Primordial non-Gaussianities from inflation models, arXiv: 1002.1416 [SPIRES].
52. P. Creminelli, M.A. Luty, A. Nicolis and L. Senatore, Starting the universe: stable violation of the null energy condition and non-standard cosmologies, JHEP 12 (2006) 080 [hep-th/0606090] [SPIRES].
53. C. Cheung, P. Creminelli, A.L. Fitzpatrick, J. Kaplan and L. Senatore, The effective field theory of inflation, JHEP 03 (2008) 014 [arXiv: 0709.0293] [SPIRES].
54. S. Weinberg, Effective field theory for inflation, Phys. Rev. D 77 (2008) 123541 [arXiv: 0804.4291] [SPIRES].
55. C. Armendariz-Picon, T. Damour and V.F. Mukhanov, k-Inflation, Phys. Lett. B 458 (1999) 209 [hep-th/9904075] [SPIRES].
56. J. Garriga and V.F. Mukhanov, Perturbations in k-inflation, Phys. Lett. B 458 (1999) 219 [hep-th/9904176] [SPIRES].
57. M. Alishahiha, E. Silverstein and D. Tong, DBI in the sky, Phys. Rev. D 70 (2004) 123505 [hep-th/0404084] [SPIRES].
58. R. Holman and A.J. Tolley, Enhanced Non-Gaussianity from Excited Initial States, JCAP 05 (2008) 001 [arXiv:0710.1302] [SPIRES].
59. P.D. Meerburg, J.P. van der Schaar and P.S. Corasaniti, Signatures of Initial State Modifications on Bispectrum Statistics, JCAP 05 (2009) 018 [arXiv:0901.4044] [SPIRES].
60. J.R. Fergusson and E.P.S. Shellard, The shape of primordial non-Gaussianity and the CMB bispectrum, Phys. Rev. D 80 (2009) 043510 [arXiv¡0812.3413] [SPIRES].
61. M. Liguori, E. Sefusatti, J.R. Fergusson and E.P.S. Shellard, Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure, arXiv : 1001.4707 [SPIRES].
62. N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, Large non-Gaussianities in the effective field theory approach to single-field inflation: the trispectrum, to appear.
63. L. Senátore, Tilted ghost inflation, Phys. Rev. D 71 (2005) 043512 [astro-ph/0406187] [SPIRES].
64. C. Cheung, A.L. Fitzpatrick, J. Kaplan and L. Senátore, On the consistency relation of the S-point function in single field inflation, JCAP 02 (2008) 021 [arXiv: 0709.0295] [SPIRES].
65. N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, Ghost inflation, JCAP 04 (2004) 001 [hep-th/0312100] [SPIRES].
66. N.D. Birrell and P.C.W. Davies, Quantum fields in curved space, Cambridge University Press, Cambridge U.K. (1982) [SPIRES].
67. X. Chen, B. Hu, M.-x. Huang, G. Shiu and Y. Wang, Large primordial trispectra in general single field inflation, JCAP 08 (2009) 008 [arXiv:0905.3494] [SPIRES].
68. L. Senatore, K.M. Smith and M. Zaldarriaga, Non-Gaussianities in single field inflation and their optimal limits from the WMAP 5-year data, JCAP 01 (2010) 028 [arXiv:0905.3746] [SPIRES].
69. N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, to appear.
70. J.S. Schwinger, Brownian motion of a quantum oscillator, J. Math. Phys. 2 (1961) 407 [SPIRES].
71. R.D. Jordan, Effective field equations for expectation values, Phys. Rev. D 33 (1986) 444 [SPIRES].
72. E. Calzetta and B.L. Hu, Closed time path functional formalism in curved space-time: application to cosmological back reaction problems, Phys. Rev. D 35 (1987) 495 [SPIRES].
73. S. Weinberg, Quantum contributions to cosmological correlations, Phys. Rev. D 72 (2005) 043514 [hep-th/0506236] [SPIRES].