The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields

Journal of Cosmology and Astroparticle Physics

Volumn 2009, Issue 6, 2009, Pages

  Caprini, Chiara ^a   Finelli, Fabio ^b,c   Paoletti, Daniela ^b,d   Riotto, Antonio ^e,f  

^a DIF   (France)

^b OSSERVATORIO ASTRONOMICO DI BOLOGNA   (Italy)

^c INFN SEZIONE DI BOLOGNA   (Italy)

^d UNIVERSITY OF FERRARA   (Italy)

^e CERN   (Switzerland)

^f SEZIONE DI PADOVA   (Italy)

Author keywords

Non gaussianity; Primordial magnetic fields

Indexed keywords

EID: 70350697540     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2009/06/021     Document Type: Article

References (90)

1. For a review see D.H. Lyth and A. Riotto, 1999 Particle physics models of inflation and the cosmological density perturbation, Phys. Rept. 314 1 [hep-ph/9807278]
2. WMAP collaboration, E. Komatsu et al., 2009 Five-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 180 330 [0803.0547]
3. See ESA Science & Technology: Planck homepage, http://planck.esa.int/
4. N. Bartolo, E. Komatsu, S. Matarrese and A. Riotto, 2004 Non-gaussianity from inflation: theory and observations, Phys. Rept. 402 103 [astro-ph/0406398]
5. V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, 2003 Second-order cosmological perturbations from inflation, Nucl. Phys. B 667 119 [astro-ph/0209156]
6. 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]
7. N. Bartolo, S. Matarrese and A. Riotto, 2002 Non-gaussianity from inflation, Phys. Rev. D 65 103505 [hep-ph/0112261]
8. F. Bernardeau and J.-P. Uzan, 2002 Non-gaussianity in multi-field inflation, Phys. Rev. D 66 103506 [hep-ph/0207295]
9. F. Vernizzi and D. Wands, 2006 Non-gaussianities in two-field inflation J. Cosmol. Astropart. Phys. JCAP05(2006)019 [astro-ph/0603799]
10. D.H. Lyth, C. Ungarelli and D. Wands, 2003 The primordial density perturbation in the curvaton scenario, Phys. Rev. D 67 023503 [astro-ph/0208055]
11. N. Bartolo, S. Matarrese and A. Riotto, 2004 On non-gaussianitys in the curvaton scenario, Phys. Rev. D 69 043503 [hep-ph/0309033]
12. T. Hamazaki and H. Kodama, 1996 Evolution of cosmological perturbations during reheating, Prog. Theor. Phys. 96 1123 [gr-qc/9609036]
13. G. Dvali, A. Gruzinov and M. Zaldarriaga, 2004 A new mechanism for generating density perturbations from inflation, Phys. Rev. D 69 023505 [astro-ph/0303591]
14. L. Kofman, Probing string theory with modulated cosmological fluctuations, [astro-ph/0303614]
15. G. Dvali, A. Gruzinov and M. Zaldarriaga, 2004 Cosmological perturbations from inhomogeneous reheating, freezeout and mass domination, Phys. Rev. D 69 083505 [astro-ph/0305548]
16. D.H. Lyth, 2005 Generating the curvature perturbation at the end of inflation J. Cosmol. Astropart. Phys. JCAP11(2005)006 [astro-ph/0510443]
17. M.P. Salem, 2005 On the generation of density perturbations at the end of inflation, Phys. Rev. D 72 123516 [astro-ph/0511146]
18. D.H. Lyth and A. Riotto, 2006 Generating the curvature perturbation at the end of inflation in string theory, Phys. Rev. Lett. 97 121301 [astro-ph/0607326]
19. M. Bastero-Gil, V. Di Clemente and S.F. King, 2004 Preheating curvature perturbations with a coupled curvaton, Phys. Rev. D 70 023501 [hep-ph/0311237]
20. E.W. Kolb, A. Riotto and A. Vallinotto, 2005 Curvature perturbations from broken symmetries, Phys. Rev. D 71 043513 [astro-ph/0410546]
21. E.W. Kolb, A. Riotto and A. Vallinotto, 2006 Non-gaussianity from broken symmetries, Phys. Rev. D 73 023522 [astro-ph/0511198]
22. M. Alishahiha, E. Silverstein and D. Tong, 2004 DBI in the sky, Phys. Rev. D 70 123505 [hep-th/0404084]
23. N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, 2004 Ghost inflation J. Cosmol. Astropart. Phys. JCAP04(2004)001 [hep-th/0312100]
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. 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]
26. A. Curto et al., WMAP 5-year constraints on fnl with wavelets, [0807.0231]
27. D. Grasso and H.R. Rubinstein, 2001 Magnetic fields in the early universe, Phys. Rept. 348 163 [astro-ph/0009061]
28. M. Giovannini, 2004 The magnetized universe, Int. J. Mod. Phys. D 13 391 [astro-ph/0312614]
29. C. Caprini, R. Durrer and T. Kahniashvili, 2004 The cosmic microwave background and helical magnetic fields: the tensor mode, Phys. Rev. D 69 063006 [astro-ph/0304556]
30. A. Kosowsky, T. Kahniashvili, G. Lavrelashvili and B. Ratra, 2005 Faraday rotation of the cosmic microwave background polarization by a stochastic magnetic field, Phys. Rev. D 71 043006 [astro-ph/0409767]
31. G. Chen, P. Mukherjee, T. Kahniashvili, B. Ratra and Y. Wang, 2004 Looking for cosmological Alfven waves in WMAP data, Astrophys. J. 611 655 [astro-ph/0403695]
32. P.D. Naselsky, L.-Y. Chiang, P. Olesen and O.V. Verkhodanov, 2004 Primordial magnetic field and non-gaussianity of the 1-year Wilkinson Microwave Anisotropy Probe (WMAP) data, Astrophys. J. 615 45 [astro-ph/0405181]
33. P. Naselsky and J. Kim, Fast simulation of the whole-sky CMB map in the presence of primordial magnetic field, [0804.3467]
34. R. Durrer, T. Kahniashvili and A. Yates, 1998 Microwave background anisotropies from Alfven waves, Phys. Rev. D 58 123004 [astro-ph/9807089]
35. See also T. Kahniashvili, G. Lavrelashvili and B. Ratra, 2008 CMB temperature anisotropy from broken spatial isotropy due to an homogeneous cosmological magnetic field, Phys. Rev. D 78 063012 [0807.4239]
36. M. Demianski and A.G. Doroshkevich, 2007 Possible extensions of the standard cosmological model: anisotropy, rotation and magnetic field, Phys. Rev. D 75 123517 [astro-ph/0702381]
37. A. Bernui and W.S. Hipolito-Ricaldi, Can a primordial magnetic field originate large-scale anomalies in WMAP data?, [0807.1076]
38. A. Bernui, 2008 Anomalous CMB north-south asymmetry, Phys. Rev. D 78 063531 [0809.0934]
39. I.A. Brown and R. Crittenden, 2005 Non-gaussianity from cosmic magnetic fields, Phys. Rev. D 72 063002 [astro-ph/0506570]
40. I.A. Brown, Primordial magnetic fields in cosmology, [0812.1781]
41. R. Holman and A.J. Tolley, 2008 Enhanced non-gaussianity from excited initial states J. Cosmol. Astropart. Phys. JCAP05(2008)001 [0710.1302]
42. F. Finelli, F. Paci and D. Paoletti, 2008 The impact of stochastic primordial magnetic fields on the scalar contribution to cosmic microwave background anisotropies, Phys. Rev. D 78 023510 [0803.1246]
43. T.R. Seshadri and K. Subramanian, CMB bispectrum from primordial magnetic fields on large angular scales, [0902.4066]
44. T. Kahniashvili and B. Ratra, 2007 CMB anisotropies due to cosmological magnetosonic waves, Phys. Rev. D 75 023002 [astro-ph/0611247]
45. W. Hu and M.J. White, 1997 CMB anisotropies: total angular momentum method, Phys. Rev. D 56 596 [astro-ph/9702170]
46. K. Jedamzik, V. Katalinic and A.V. Olinto, 1998 Damping of cosmic magnetic fields, Phys. Rev. D 57 3264 [astro-ph/9606080]
47. K. Subramanian and J.D. Barrow, 1998 Magnetohydrodynamics in the early universe and the damping of noninear Alfven waves, Phys. Rev. D 58 083502 [astro-ph/9712083]
48. R. Durrer, P.G. Ferreira and T. Kahniashvili, 2000 Tensor microwave anisotropies from a stochastic magnetic field, Phys. Rev. D 61 043001 [astro-ph/9911040]
49. R. Durrer and C. Caprini, 2003 Primordial magnetic fields and causality J. Cosmol. Astropart. Phys. JCAP11(2003)010 [astro-ph/0305059]
50. C.J. Hogan, 1983 Magnetohydrodynamic effects of a first-order cosmological phase transition, Phys. Rev. Lett. 51 1488
51. J.M. Quashnock et al., 1989 Magnetic field generation during the cosmological QCD phase transition, Astrophys. J. 344 L49 [IASSNS-AST-88/71]
52. B.-l. Cheng and A.V. Olinto, 1994 Primordial magnetic fields generated in the quark-hadron transition, Phys. Rev. D 50 2421
53. G. Baym, D. Bödeker and L.D. McLerran, 1996 Magnetic fields produced by phase transition bubbles in the electroweak phase transition, Phys. Rev. D 53 662 [hep-ph/9507429]
54. G. Sigl, A.V. Olinto and K. Jedamzik, 1997 Primordial magnetic fields from cosmological first order phase transitions, Phys. Rev. D 55 4582 [astro-ph/9610201]
55. D. Boyanovsky and H.J. de Vega, 2005 Primordial magnetic fields from out of equilibrium cosmological phase transitions, AIP Conf. Proc. 784 434 [astro-ph/0502212]
56. T. Vachaspati, 1991 Magnetic fields from cosmological phase transitions, Phys. Lett. B 265 258
57. K. Enqvist and P. Olesen, 1993 On primordial magnetic fields of electroweak origin, Phys. Lett. B 319 178 [hep-ph/9308270]
58. M. Hindmarsh and A. Everett, 1998 Magnetic fields from phase transitions, Phys. Rev. D 58 103505 [astro-ph/9708004]
59. D. Grasso and A. Riotto, 1998 On the nature of the magnetic fields generated during the electroweak phase transition, Phys. Lett. B 418 258 [hep-ph/9707265]
60. J.M. Cornwall, 1997 Speculations on primordial magnetic helicity, Phys. Rev. D 56 6146 [hep-th/9704022]
61. T. Vachaspati, 2001 Estimate of the primordial magnetic field helicity, Phys. Rev. Lett. 87 251302 [astro-ph/0101261]
62. M. Joyce and M.E. Shaposhnikov, 1997 Primordial magnetic fields, right electrons and the Abelian anomaly, Phys. Rev. Lett. 79 1193 [astro-ph/9703005]
63. G.B. Field and S.M. Carroll, 2000 Cosmological magnetic fields from primordial helicity, Phys. Rev. D 62 103008 [astro-ph/9811206]
64. L. Campanelli and M. Giannotti, 2005 Magnetic helicity generation from the cosmic axion field, Phys. Rev. D 72 123001 [astro-ph/0508653]
65. E.R. Harrison, 1970 Generation of magnetic fields in the radiation ERA Mon. Not. Roy. Astron. Soc. 147 279
66. E.R. Harrison, 1973 Origin of magnetic fields in the early universe, Phys. Rev. Lett. 30 188
67. S. Matarrese, S. Mollerach, A. Notari and A. Riotto, 2005 Large-scale magnetic fields from density perturbations, Phys. Rev. D 71 043502 [astro-ph/0410687]
68. R. Gopal and S. Sethi, 2005 Generation of magnetic field in the pre-recombination era, Mon. Not. Roy. Astron. Soc. 363 521 [astro-ph/0411170]
69. K. Takahashi, K. Ichiki, H. Ohno and H. Hanayama, 2005 Magnetic field generation from cosmological perturbations, Phys. Rev. Lett. 95 121301 [astro-ph/0502283]
70. T. Kobayashi, R. Maartens, T. Shiromizu and K. Takahashi, 2007 Cosmological magnetic fields from nonlinear effects, Phys. Rev. D 75 103501 [astro-ph/0701596]
71. M.S. Turner and L.M. Widrow, 1988 Inflation produced, large scale magnetic fields, Phys. Rev. D 37 2743
72. B. Ratra, 1992 Cosmological 'seed' magnetic field from inflation, Astrophys. J. 391 L1
73. A.-C. Davis, K. Dimopoulos, T. Prokopec and O. Tornkvist, 2001 Primordial spectrum of gauge fields from inflation, Phys. Lett. B 501 165 [astro-ph/0007214]
74. A.-C. Davis, K. Dimopoulos, T. Prokopec and O. Tornkvist, 2002 Phys. Rev. Focus 10 STORY9
75. F. Finelli and A. Gruppuso, 2001 Resonant amplification of gauge fields in expanding universe, Phys. Lett. B 502 216 [hep-ph/0001231]
76. T. Prokopec, O. Tornkvist and R.P. Woodard, 2002 Photon mass from inflation, Phys. Rev. Lett. 89 101301 [astro-ph/0205331]
77. J. Martin and J. Yokoyama, 2008 Generation of large-scale magnetic fields in single-field inflation J. Cosmol. Astropart. Phys. JCAP01(2008)025 [0711.4307]
78. M. Gasperini, M. Giovannini and G. Veneziano, 1995 Primordial magnetic fields from string cosmology, Phys. Rev. Lett. 75 3796 [hep-th/9504083]
79. D. Lemoine and M. Lemoine, 1995 Primordial magnetic fields in string cosmology, Phys. Rev. D 52 1955
80. K. Bamba and J. Yokoyama, 2004 Large-scale magnetic fields from inflation in dilaton electromagnetism, Phys. Rev. D 69 043507 [astro-ph/0310824]
81. C. Caprini and R. Durrer, 2001 Gravitational wave production: a strong constraint on primordial magnetic fields, Phys. Rev. D 65 023517 [astro-ph/0106244]
82. D. Paoletti, F. Finelli and F. Paci, The full contribution of a stochastic background of magnetic fields to CMB anisotropies, [0811.0230]
83. R. Durrer, 2008 The cosmic microwave background, Cambridge University Press, Cambridge U.K.
84. E. Komatsu and D.N. Spergel, 2001 Acoustic signatures in the primary microwave background bispectrum, Phys. Rev. D 63 063002 [astro-ph/0005036]
85. L.-M. Wang and M. Kamionkowski, 2000 The cosmic microwave background bispectrum and inflation, Phys. Rev. D 61 063504 [astro-ph/9907431]
86. J.R. Fergusson and E.P.S. Shellard, 2007 Primordial non-gaussianity and the CMB bispectrum, Phys. Rev. D 76 083523 [astro-ph/0612713]
87. I.S. Gradshteyn and I.M. Ryzhik, 1965 Table of integrals, series and products, Academic Press, New York U.S.A. and London U.K.
88. D. Babich and M. Zaldarriaga, 2004 Primordial bispectrum information from CMB polarization, Phys. Rev. D 70 083005 [astro-ph/0408455]
89. W. Hu, 2000 Weak lensing of the CMB: a harmonic approach, Phys. Rev. D 62 043007 [astro-ph/0001303]
90. N. Bartolo and A. Riotto, 2009 On the non-gaussianity from recombination J. Cosmol. Astropart. Phys. JCAP03(2009)017 [0811.4584]