An estimator for statistical anisotropy from the CMB bispectrum

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 1, 2012, Pages

  Bartolo, N ^a,b   Dimastrogiovanni, E ^a,b   Liguori, M ^c   Matarrese, S ^a,b   Riotto, A ^b,d  

^a UNIVERSITY OF PADOVA   (Italy)

^b SEZIONE DI PADOVA   (Italy)

^c INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

^d CERN   (Switzerland)

Author keywords

cosmological parameters from CMBR; inflation; non gaussianity

Indexed keywords

EID: 84856630779     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/01/029     Document Type: Article

References (85)

1. C. Bennett et al., 2011 Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: are there cosmic microwave background anomalies?, Astrophys. J. Suppl. 192 17 [1001.4758]
2. C.J. Copi, D. Huterer, D.J. Schwarz and G.D. Starkman, 2010 Large angle anomalies in the CMB Adv. Astron. 2010 847541 [1004.5602]
3. P. Vielva, E. Martinez-Gonzalez, R. Barreiro, J. Sanz and L. Cayon, 2004 Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets, Astrophys. J. 609 22 [astro-ph/0310273]
4. M. Cruz, L. Cayon, E. Martinez-Gonzalez, P. Vielva and J. Jin, 2007 The non-Gaussian cold spot in the 3-year WMAP data, Astrophys. J. 655 11 [astro-ph/0603859]
5. C. Bennett et al., 1996 Four year COBE DMR cosmic microwave background observations: maps and basic results, Astrophys. J. 464 L1 [astro-ph/9601067]
6. WMAP collaboration, D. Spergel et al., 2003 First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: determination of cosmological parameters, Astrophys. J. Suppl. 148 175 [astro-ph/0302209]
7. A. de Oliveira-Costa, M. Tegmark, M. Zaldarriaga and A. Hamilton, 2004 The significance of the largest scale CMB fluctuations in WMAP, Phys. Rev. D 69 063516 [astro-ph/0307282]
8. G. Efstathiou, 2004 A maximum likelihood analysis of the low CMB multipoles from WMAP, Mon. Not. Roy. Astron. Soc. 348 885 [astro-ph/0310207]
9. K. Land and J. Magueijo, 2005 The axis of evil, Phys. Rev. Lett. 95 071301 [astro-ph/0502237]
10. F.K. Hansen, P. Cabella, D. Marinucci and N. Vittorio, 2004 Asymmetries in the local curvature of the WMAP data, Astrophys. J. 607 L67 [astro-ph/0402396]
11. H. Eriksen, F. Hansen, A. Banday, K. Gorski and P. Lilje, 2004 Asymmetries in the cosmic microwave background anisotropy field, Astrophys. J. 605 14 [Erratum ibid 609 (2004) 1198] [astro-ph/0307507]
12. F.K. Hansen, A. Banday and K. Gorski, 2004 Testing the cosmological principle of isotropy: Local power spectrum estimates of the WMAP data, Mon. Not. Roy. Astron. Soc. 354 641 [astro-ph/0404206]
13. D. Pietrobon et al., Needlet bispectrum asymmetries in the WMAP 5-year data, [0905.3702]
14. N.E. Groeneboom and H.K. Eriksen, 2009 Bayesian analysis of sparse anisotropic universe models and application to the 5-yr WMAP data, Astrophys. J. 690 1807 [0807.2242]
15. D. Hanson and A. Lewis, 2009 Estimators for CMB statistical anisotropy, Phys. Rev. D 80 063004 [0908.0963]
16. N.E. Groeneboom, L. Ackerman, I.K. Wehus and H.K. Eriksen, 2010 Bayesian analysis of an anisotropic universe model: systematics and polarization, Astrophys. J. 722 452 [0911.0150]
17. J. Kim and P. Naselsky, 2010 Anomalous parity asymmetry of the Wilkinson Microwave Anisotropy Probe power spectrum data at low multipoles, Astrophys. J. 714 L265 [1001.4613]
18. A. Gruppuso et al., 2011 New constraints on parity symmetry from a re-analysis of the WMAP-7 low resolution power spectra, Mon. Not. Roy. Astron. Soc. 411 1445 [1006.1979]
19. A. Pontzen and H.V. Peiris, 2010 The cut-sky cosmic microwave background is not anomalous, Phys. Rev. D 81 103008 [1004.2706]
20. P. Naselsky, M. Hansen and J. Kim, 2011 Symmetry of the CMB sky as a new test of its statistical isotropy. Non cosmological octupole? J. Cosmol. Astropart. Phys. JCAP09(2011)012 [1105.4426]
21. L. Ford, 1989 Inflation driven by a vector field, Phys. Rev. D 40 967
22. A. Golovnev, V. Mukhanov and V. Vanchurin, 2008 Vector inflation J. Cosmol. Astropart. Phys. JCAP06(2008)009 [0802.2068]
23. A. Golovnev, V. Mukhanov and V. Vanchurin, 2008 Gravitational waves in vector inflation J. Cosmol. Astropart. Phys. JCAP11(2008)018 [0810.4304]
24. A. Golovnev and V. Vanchurin, 2009 Cosmological perturbations from vector inflation, Phys. Rev. D 79 103524 [0903.2977]
25. A. Maleknejad and M. Sheikh-Jabbari, Gauge-flation: inflation from non-abelian gauge fields, [1102.1513]
26. A. Maleknejad and M. Sheikh-Jabbari, 2011 Non-abelian gauge field inflation, Phys. Rev. D 84 043515 [1102.1932]
27. K. Dimopoulos, 2006 Can a vector field be responsible for the curvature perturbation in the Universe?, Phys. Rev. D 74 083502 [hep-ph/0607229]
28. L. Ackerman, S.M. Carroll and M.B. Wise, 2007 Imprints of a primordial preferred direction on the microwave background, Phys. Rev. D 75 083502 [Erratum ibid D 80 (2009) 069901] [astro-ph/0701357]
29. S. Yokoyama and J. Soda, 2008 Primordial statistical anisotropy generated at the end of inflation J. Cosmol. Astropart. Phys. JCAP08(2008)005 [0805.4265]
30. M.-A. Watanabe, S. Kanno and J. Soda, 2009 Inflationary universe with anisotropic hair, Phys. Rev. Lett. 102 191302 [0902.2833]
31. K. Dimopoulos, M. Karciauskas, D.H. Lyth and Y. Rodriguez, 2009 Statistical anisotropy of the curvature perturbation from vector field perturbations J. Cosmol. Astropart. Phys. JCAP05(2009)013 [0809.1055]
32. B. Himmetoglu, C.R. Contaldi and M. Peloso, 2009 Instability of the ACW model and problems with massive vectors during inflation, Phys. Rev. D 79 063517 [0812.1231]
33. B. Himmetoglu, C.R. Contaldi and M. Peloso, 2009 Ghost instabilities of cosmological models with vector fields nonminimally coupled to the curvature, Phys. Rev. D 80 123530 [0909.3524]
34. A. Gumrukcuoglu, B. Himmetoglu and M. Peloso, 2010 Scalar-scalar, scalar-tensor and tensor-tensor correlators from anisotropic inflation, Phys. Rev. D 81 063528 [1001.4088]
35. M.-a. Watanabe, S. Kanno and J. Soda, 2010 The nature of primordial fluctuations from anisotropic inflation, Prog. Theor. Phys. 123 1041 [1003.0056]
36. S. Kanno, J. Soda and M.-a. Watanabe, 2010 Anisotropic power-law inflation J. Cosmol. Astropart. Phys. JCAP12(2010)024 [1010.5307]
37. K. Murata and J. Soda, 2011 Anisotropic inflation with non-abelian gauge kinetic function J. Cosmol. Astropart. Phys. JCAP06(2011)037 [1103.6164]
38. C. Armendariz-Picon, 2004 Could dark energy be vector-like? J. Cosmol. Astropart. Phys. JCAP07(2004)007 [astro-ph/0405267]
39. C. Boehmer and T. Harko, 2007 Dark energy as a massive vector field, Eur. Phys. J. C 50 423 [gr-qc/0701029]
40. T. Koivisto and D.F. Mota, 2008 Accelerating cosmologies with an anisotropic equation of state, Astrophys. J. 679 1 [0707.0279]
41. T. Koivisto and D.F. Mota, 2008 Vector field models of inflation and dark energy J. Cosmol. Astropart. Phys. JCAP08(2008)021 [0805.4229]
42. J. Beltran Jimenez, R. Lazkoz and A.L. Maroto, Cosmic vector for dark energy: constraints from SN, CMB and BAO, [0904.0433]
43. J. Beltran Jimenez, R. Lazkoz and A.L. Maroto, 2009 Cosmic vector for dark energy: constraints from supernovae, cosmic microwave background and baryon acoustic oscillations, Phys. Rev. D 80 023004
44. P.W. Graham, R. Harnik and S. Rajendran, 2010 Observing the dimensionality of our parent vacuum, Phys. Rev. D 82 063524 [1003.0236]
45. J.J. Blanco-Pillado and M.P. Salem, 2010 Observable effects of anisotropic bubble nucleation J. Cosmol. Astropart. Phys. JCAP07(2010)007 [1003.0663]
46. A.R. Pullen and M. Kamionkowski, 2007 Cosmic microwave background statistics for a direction-dependent primordial power spectrum, Phys. Rev. D 76 103529 [0709.1144]
47. Y.-Z. Ma, G. Efstathiou and A. Challinor, 2011 Testing a direction-dependent primordial power spectrum with observations of the Cosmic Microwave Background, Phys. Rev. D 83 083005 [1102.4961]
48. D. Hanson, A. Lewis and A. Challinor, 2010 Asymmetric beams and CMB statistical anisotropy, Phys. Rev. D 81 103003 [1003.0198]
49. C. Dvorkin, H.V. Peiris and W. Hu, 2008 Testable polarization predictions for models of CMB isotropy anomalies, Phys. Rev. D 77 063008 [0711.2321]
50. C. Armendariz-Picon, 2006 Footprints of statistical anisotropies J. Cosmol. Astropart. Phys. JCAP03(2006)002 [astro-ph/0509893]
51. M.-a. Watanabe, S. Kanno and J. Soda, 2011 Imprints of anisotropic inflation on the cosmic microwave background Mon. Not. Roy. Astron. Soc. 412 L83 [1011.3604]
52. M. Aich and T. Souradeep, 2010 Statistical isotropy violation of the CMB brightness fluctuations, Phys. Rev. D 81 083008 [1001.1723]
53. A.R. Pullen and C.M. Hirata, 2010 Non-detection of a statistically anisotropic power spectrum in large-scale structure J. Cosmol. Astropart. Phys. JCAP05(2010)027 [1003.0673]
54. C.A. Valenzuela-Toledo, Y. Rodriguez and D.H. Lyth, 2009 Non-gaussianity at tree- and one-loop levels from vector field perturbations, Phys. Rev. D 80 103519 [0909.4064]
55. C.A. Valenzuela-Toledo and Y. Rodriguez, 2010 Non-gaussianity from the trispectrum and vector field perturbations, Phys. Lett. B 685 120 [0910.4208]
56. M. Karciauskas, K. Dimopoulos and D.H. Lyth, 2009 Anisotropic non-Gaussianity from vector field perturbations, Phys. Rev. D 80 023509 [0812.0264]
57. N. Bartolo, E. Dimastrogiovanni, S. Matarrese and A. Riotto, 2009 Anisotropic bispectrum of curvature perturbations from primordial non-abelian vector fields J. Cosmol. Astropart. Phys. JCAP10(2009)015 [0906.4944]
58. N. Bartolo, E. Dimastrogiovanni, S. Matarrese and A. Riotto, 2009 Anisotropic trispectrum of curvature perturbations induced by primordial non-abelian vector fields J. Cosmol. Astropart. Phys. JCAP11(2009)028 [0909.5621]
59. K. Dimopoulos, M. Karciauskas and J.M. Wagstaff, 2010 Vector curvaton with varying kinetic function, Phys. Rev. D 81 023522 [0907.1838]
60. K. Dimopoulos, M. Karciauskas and J.M. Wagstaff, 2010 Vector curvaton without instabilities, Phys. Lett. B 683 298 [0909.0475]
61. E. Dimastrogiovanni, N. Bartolo, S. Matarrese and A. Riotto, 2010 Non-gaussianity and statistical anisotropy from vector field populated inflationary models, Adv. Astron. 2010 752670 [1001.4049]
62. D. Babich, P. Creminelli and M. Zaldarriaga, 2004 The shape of non-gaussianities J. Cosmol. Astropart. Phys. JCAP08(2004)009 [astro-ph/0405356]
63. A. Hajian, T. Souradeep and N.J. Cornish, 2004 Statistical isotropy of the WMAP data: a bipolar power spectrum analysis, Astrophys. J. 618 L63 [astro-ph/0406354]
64. A. Hajian and T. Souradeep, 2006 Testing global isotropy of three-year Wilkinson Microwave Anisotropy Probe (WMAP) data: temperature analysis, Phys. Rev. D 74 123521 [astro-ph/0607153]
65. E. Komatsu and D.N. Spergel, 2001 Acoustic signatures in the primary microwave background bispectrum, Phys. Rev. D 63 063002 [astro-ph/0005036]
66. F. Bernardeau and L. Kofman, 1995 Properties of the cosmological density distribution function, Astrophys. J. 443 479 [astro-ph/9403028]
67. S. Blinnikov and R. Moessner, 1998 Expansions for nearly gaussian distributions, Astron. Astrophys. Suppl. Ser. 130 193 [astro-ph/9711239]
68. A. Taylor and P. Watts, 2001 Parameter information from nonlinear cosmological fields, Mon. Not. Roy. Astron. Soc. 328 1027 [astro-ph/0010014]
69. D. Babich, 2005 Optimal estimation of non-gaussianity, Phys. Rev. D 72 043003 [astro-ph/0503375]
70. P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark and M. Zaldarriaga, 2006 Limits on non-gaussianities from WMAP data J. Cosmol. Astropart. Phys. JCAP05(2006)004 [astro-ph/0509029]
71. H. Hijazi and L. Ros, 2008 Bayesian Cramer-Rao bounds for complex gain parameters estimation of slowly varying raleigh channel in OFDM systems, HAL-00325317
72. A.J. Hamilton, 2008 Power spectrum estimation. 1. Basics Lect. Notes Phys. 665 415 [astro-ph/0503603]
73. L. Verde, 2010 Statistical methods in cosmology, Lect. Notes Phys. 800 147 [0911.3105]
74. A. Heavens, Statistical techniques in cosmology, [0906.0664]
75. M. Liguori, E. Sefusatti, J. Fergusson and E. Shellard, 2010 Primordial non-gaussianity and bispectrum measurements in the cosmic microwave background and large-scale structure Adv. Astron. 2010 980523 [1001.4707]
76. M. Kamionkowski, T.L. Smith and A. Heavens, 2011 The CMB bispectrum, trispectrum, non-gaussianity and the Cramer-Rao bound, Phys. Rev. D 83 023007 [1010.0251]
77. D. Babich and M. Zaldarriaga, 2004 Primordial bispectrum information from CMB polarization, Phys. Rev. D 70 083005 [astro-ph/0408455]
78. WMAP collaboration, E. Komatsu et al., 2011 Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 192 18 [1001.4538]
79. M. Shiraishi and S. Yokoyama, 2011 Violation of the rotational invariance in the CMB bispectrum Prog. Theor. Phys. 126 923 [1107.0682]
80. M. Liguori et al., 2007 Temperature and polarization CMB maps from primordial non-gaussianities of the local type, Phys. Rev. D 76 105016 [Erratum ibid D 77 (2008) 029902] [0708.3786]
81. E. Sefusatti, M. Liguori, A.P. Yadav, M.G. Jackson and E. Pajer, 2009 Constraining running non-gaussianity J. Cosmol. Astropart. Phys. JCAP12(2009)022 [0906.0232]
82. CMBPol Study Team collaboration, D. Baumann et al., 2009 CMBPol mission concept study: probing inflation with CMB polarization, AIP Conf. Proc. 1141 10 [0811.3919]
83. T.C. Collaboration, COrE (Cosmic Origins Explorer) a white paper, [1102.2181]
84. M. Maris, C. Burigana, A. Gruppuso, F. Finelli and J. Diego, 2011 Large scale traces of solar system cold dust on CMB anisotropies, Mon. Not. Roy. Astron. Soc. 415 2546 [1010.0830]
85. A. Lewis, A. Challinor and D. Hanson, 2011 The shape of the CMB lensing bispectrum J. Cosmol. Astropart. Phys. JCAP03(2011)018 [1101.2234]