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Cosmic Microwave Background Polarization Analysis

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Data Analysis in Cosmology

Part of the book series: Lecture Notes in Physics ((LNP,volume 665))

Abstract

With polarization of the cosmic microwave background (CMB) now detected, and confirmed by several independent experiments, the next goal is to characterize accurately its statistical properties. In these lecture notes we review the physical motivation for pursuing CMB polarization and the basic statistical properties of the polarization fields. We then discuss some of the key aspects of the analysis of CMB polarization data, focusing on the additional complications that arise compared to temperature data due to the tensor character of the polarization field.

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References

  1. Bennett, C.L., et al.: Astrophysical. J. Suppl. 148, 97 (2003)

    Article  ADS  Google Scholar 

  2. Bond, J.R., Contaldi, C.R., Pogoysan, D.: Phil. Trans. R. Soc. Lond. A 361, 2435 (2003)

    Article  MATH  ADS  Google Scholar 

  3. Guth, A.H.: Phys. Rev. D 23, 347 (1981)

    Article  ADS  Google Scholar 

  4. Rees, M.J.: Astrophysical. J. Lett. 153, 1 (1968)

    Article  ADS  Google Scholar 

  5. Kovac, J.M., et al.: Nature 420, 772 (2002)

    Article  ADS  Google Scholar 

  6. Readhead, A.C.S., et al.: Science 306, 836 (2004)

    Article  ADS  Google Scholar 

  7. Barkats, D., et al.: Astrophysical. J. Lett. 619, 127 (2005)

    Article  ADS  Google Scholar 

  8. Kogut, A., Spergel, D.N., Barnes, C.: Astrophysical. J. Suppl. 148, 161 (2003)

    Article  ADS  Google Scholar 

  9. Zaldarriaga, M., Spergel, D.N., Seljak, U.: Astrophysical. J. 488, 1 (1997)

    Article  ADS  Google Scholar 

  10. Zaldarriaga, M.: Phys. Rev. D 55, 1822 (1997)

    Article  ADS  Google Scholar 

  11. Seljak, U., Zaldarriaga, M.: Phys. Rev. Lett. 78, 2054 (1997)

    Article  ADS  Google Scholar 

  12. Kamionkowski, M., Kosowsky, A., Stebbins, A.: Phys. Rev. Lett. 78, 2058 (1997)

    Article  ADS  Google Scholar 

  13. Bucher, M., Moodley, K., Turok, N.: Phys. Rev. Lett. 87, 191301 (2001)

    Article  ADS  Google Scholar 

  14. Bond, J.R., et al.: Comput. Sci. Eng. 1, 21 (1999)

    Article  Google Scholar 

  15. Goldberg, J.N., et al.: J. Math. Phys. 8, 2155 (1967)

    Article  MATH  ADS  Google Scholar 

  16. Varshalovich, D.A., Moskalev, A.N., Khersonskii, V.K.: Quantum Theory of Angular Momentum, pp. 72–117. World Scientific, Singapore (1988)

    Google Scholar 

  17. de Oliveira-Costa, A., et al.: Phys. Rev. D 69, 063516 (2004)

    Article  ADS  Google Scholar 

  18. Vielva, P., et al.: Astrophysical. J. 609, 22 (2004)

    Article  ADS  Google Scholar 

  19. Copi, C.J., Huterer, D., Starkman, G.D.: Phys. Rev. D 70, 043515 (2004)

    Article  ADS  Google Scholar 

  20. Eriksen, H.K., et al.: Astrophysical. J. 605, 14 (2004)

    Article  ADS  Google Scholar 

  21. Hansen, F.K., et al.: Astrophysical. J. Lett. 607, 67 (2004).

    Article  ADS  Google Scholar 

  22. Schwarz, D.J., et al.: Phys. Rev. Lett. 93, 221301 (2004)

    Article  ADS  Google Scholar 

  23. Coulson, D., Crittenden, R.G., Turok, N.G.: Phys. Rev. Lett. 73, 2390 (1994)

    Article  ADS  Google Scholar 

  24. Ng, K., Liu, G.: Int. J. Mod. Phys. D 8, 61 (1999)

    Article  ADS  Google Scholar 

  25. Chon, G., et al.: Mon. Not. R. Astron. Soc. 350, 914 (2004)

    Article  ADS  Google Scholar 

  26. Zaldarriaga, M., Seljak, U.: Phys. Rev. D 55, 1830 (1997)

    Article  ADS  Google Scholar 

  27. Scott, D., Srednicki, M., White, M.: Astrophysical. J. Lett. 421, 5 (1994)

    Article  ADS  Google Scholar 

  28. Hobson, M.P., Magueijo, J.: Mon. Not. R. Astron. Soc. 283, 1133 (1996)

    ADS  Google Scholar 

  29. Tegmark, M.: Mon. Not. R. Astron. Soc. 280, 299 (1996)

    ADS  Google Scholar 

  30. Spergel, D.N., et al.: Astrophysical. J. Suppl. 148, 175 (2003)

    Article  ADS  Google Scholar 

  31. Hu, W., White, M.: Phys. Rev. D 56, 596 (1997)

    Article  ADS  Google Scholar 

  32. Challinor, A.: Phys. Rev. D 62, 043004 (2000)

    Article  ADS  Google Scholar 

  33. Hu, W., White, M.: New Astronomy 2, 323 (1997)

    Article  ADS  Google Scholar 

  34. Lewis, A., Challinor, A., Lasenby, A.: Astrophysical. J. 538, 473 (2000)

    Article  ADS  Google Scholar 

  35. Zaldarriaga, M., Seljak, U.: Phys. Rev. D 58, 023003 (1998)

    Article  ADS  Google Scholar 

  36. Leitch, E.M., et al.: Astrophysical. J. 624, 10 (2005)

    Article  ADS  Google Scholar 

  37. Keating, B.G., et al.: Astrophysical. J. Lett. 560, 1 (2001)

    Article  ADS  Google Scholar 

  38. Seljak, U., et al.: Phys. Rev. D 71, 103515 (2005)

    Article  ADS  Google Scholar 

  39. Peiris, H.V., et al.: Astrophysical. J. Suppl. 148, 213 (2003)

    Article  ADS  Google Scholar 

  40. Gordon, C., Lewis, A.: Phys. Rev. D 67, 123513 (2003)

    Article  ADS  Google Scholar 

  41. Bucher, M., et al.: Phys. Rev. Lett. 93, 081301 (2004)

    Article  ADS  Google Scholar 

  42. Holder, G.P., et al.: Astrophysical. J. 595, 13 (2003)

    Article  ADS  Google Scholar 

  43. Hu, W., Holder, G.P.: Phys. Rev. D68, 023001 (2003)

    Article  ADS  Google Scholar 

  44. Knox, L., Song, Y.: Phys. Rev. Lett. 89, 011303 (2002)

    Article  ADS  Google Scholar 

  45. Kesden, M., Cooray, A., Kamionkowski, M.: Phys. Rev. Lett. 89, 011304 (2002)

    Article  ADS  Google Scholar 

  46. Seljak, U., Hirata, C.M.: Phys. Rev. D 69, 043005 (2004)

    Article  ADS  Google Scholar 

  47. Steinhardt, P.J., Turok, N.: Science 296, 1436 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  48. Boyle, L.A., Steinhardt, P.J., Turok, N.: Phys. Rev. D 69, 127302 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  49. Jones, N., Stoica, H., Tye, S.-H.H.: J. High Energy Phys. 7, 51 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  50. Seljak, U., Pen, U., Turok, N.: Phys. Rev. Lett. 79, 1615 (1997)

    Article  ADS  Google Scholar 

  51. Pogosian, L., et al.: Phys. Rev. D 68, 023506 (2003)

    Article  ADS  Google Scholar 

  52. Lewis, A.: Phys. Rev. D 70, 043011 (2004)

    Article  ADS  Google Scholar 

  53. Kosowsky, A., Loeb, A.: Astrophysical. J. 469, 1 (1996)

    Article  ADS  Google Scholar 

  54. Scannapieco, E.S., Ferreira, P.G.: Phys. Rev. D 56, 7493 (1997)

    Article  ADS  Google Scholar 

  55. Kosowsky, A., et al.: Phys. Rev. D 71, 043006 (2005)

    Article  ADS  Google Scholar 

  56. Hu, W.: Phys. Rev. D 65, 023003 (2002)

    Article  ADS  Google Scholar 

  57. Bond, J.R., Crittenden, R.: MB analysis. In: Crittenden R., Turok N.G. (eds.) NATO ASIC Proc. 565: Structure Formation in the Universe, pp. 241–280. Kluwer Academic Publishers, Dordrecht (2001)

    Google Scholar 

  58. Challinor, A., et al.: Phys. Rev. D 62, 123002 (2000)

    Article  ADS  Google Scholar 

  59. Stompor, R., et al.: Phys. Rev. D 65, 022003 (2002)

    Article  ADS  Google Scholar 

  60. Delabrouille, J.: Astron. Astrophys. Suppl. 127, 555 (1998)

    Article  ADS  Google Scholar 

  61. Zaldarriaga, M.: Phys. Rev. D 64, 103001 (2001)

    Article  ADS  Google Scholar 

  62. Duncan, A.R., et al.: Mon. Not. R. Astron. Soc. 291, 279 (1997)

    ADS  Google Scholar 

  63. Brouw, W.N., Spoelstra, T.A.T.: Astron. Astrophys. Suppl. 26, 129 (1976)

    ADS  Google Scholar 

  64. Bernardi, G., et al.: Astrophysical. J. Lett. 594, 5 (2003)

    Article  ADS  Google Scholar 

  65. Giardino, G., et al.: Astron. Astrophys. 387, 82 (2002)

    Article  ADS  Google Scholar 

  66. Ponthieu, N., et al.: Astron. Astrophys. 444, 327 (2005)

    Article  ADS  Google Scholar 

  67. Bouchet, F.R., Prunet, S., Sethi, S.K.: Mon. Not. R. Astron. Soc. 302, 663 (1999)

    Article  ADS  Google Scholar 

  68. Baccigalupi, C., et al.: Mon. Not. R. Astron. Soc. 354, 55 (2002)

    Article  ADS  Google Scholar 

  69. Delabrouille, J., Cardoso, J.-F., Patanchon, G.: Mon. Not. R. Astron. Soc. 346, 1089 (2003)

    Article  ADS  Google Scholar 

  70. Tucci, M., et al.: Mon. Not. R. Astron. Soc. 360, 926 (2005)

    Article  ADS  Google Scholar 

  71. Bunn, E.F., et al.: Phys. Rev. D 67, 023501 (2003)

    Article  ADS  Google Scholar 

  72. Lewis, A., Challinor, A., Turok, N.: Phys. Rev. D 65, 023505 (2002)

    Article  ADS  Google Scholar 

  73. Lewis, A.: Phys. Rev. D 68, 083509 (2003)

    Article  ADS  Google Scholar 

  74. Smith, K.M., Hu, W., Kaplinghat, M.: Phys. Rev. D 70, 043002 (2004)

    Article  ADS  Google Scholar 

  75. Bond, J.R., Jaffe, A.H., Knox, L.: Phys. Rev. D 57, 2117 (1998)

    Article  ADS  Google Scholar 

  76. Wandelt, B.D., Hivon, E., Górski, K.M.: Phys. Rev. D 64, 083003 (2001)

    Article  ADS  Google Scholar 

  77. Hivon, E., et al.: Astrophysical. J. 567, 2 (2002)

    Article  ADS  Google Scholar 

  78. Szapudi, I., Prunet, S., Colombi, S.: Astrophysical. J. Lett. 561, 11 (2001)

    Article  ADS  Google Scholar 

  79. Efstathiou, G.: Mon. Not. R. Astron. Soc. 349, 603 (2004)

    Article  ADS  Google Scholar 

  80. Tegmark, M.: Phys. Rev. D 55, 5895 (1997)

    Article  ADS  Google Scholar 

  81. Tegmark, M., de Oliveira-Costa, A.: Phys. Rev. D 64, 063001 (2001)

    Article  ADS  Google Scholar 

  82. Hansen, F.K., Górski, K.M.: Mon. Not. R. Astron. Soc. 343, 559 (2003)

    Article  ADS  Google Scholar 

  83. Gorski, K.M., et al.: Astrophysical. J. 622, 759 (2005)

    Article  ADS  Google Scholar 

  84. Challinor, A., Chon, G.: Mon. Not. R. Astron. Soc. 360, 509 (2005)

    Article  ADS  Google Scholar 

  85. Hinshaw, G., et al.: Astrophysical. J. Suppl. 148, 135 (2003)

    Article  ADS  Google Scholar 

  86. Crittenden, R.G., et al.: Astrophysical. J. 568, 20 (2002)

    Article  ADS  Google Scholar 

  87. Brown, M.L., Castro, P.G., Taylor, A.N.: Mon. Not. R. Astron. Soc. 360, 1262 (2005)

    Article  ADS  Google Scholar 

  88. Seljak, U.: Astrophysical. J. 463, 1 (1996)

    Article  ADS  Google Scholar 

  89. Hirata, C.M., et al.: Phys. Rev. D 70, 103501 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  90. Seljak, U., Zaldarriaga, M.: Phys. Rev. Lett. 82, 2636 (1999)

    Article  ADS  Google Scholar 

  91. Hu, W.: Astrophysical. J. Lett. 557, 79 (2001)

    Article  ADS  Google Scholar 

  92. Benabed, K., Bernardeau, F., van Waerbeke, L.: Phys. Rev. D 63, 043501 (2001)

    Article  ADS  Google Scholar 

  93. Hu, W., Okamoto, T.: Astrophysical. J. 574, 566 (2002)

    Article  ADS  Google Scholar 

  94. Hirata, C.M., Seljak, U.: Phys. Rev. D 68, 083002 (2003)

    Article  ADS  Google Scholar 

  95. Bowden, M., et al.: Mon. Not. R. Astron. Soc. 349, 321 (2004)

    Article  ADS  Google Scholar 

  96. Hu, W., Hedman, M.M., Zaldarriaga, M.: Phys. Rev. D 67, 043004 (2003)

    Article  ADS  Google Scholar 

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  1. Astrophysics Group, Cavendish Laboratory, Madingley Road, Cambridge, CB3 0HE, U.K

    A. Challinor

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    Challinor, A. (2008). Cosmic Microwave Background Polarization Analysis. In: Martinez, V., Saar, E., Gonzales, E., Pons-Borderia, M. (eds) Data Analysis in Cosmology. Lecture Notes in Physics, vol 665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44767-2_5

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    • DOI: https://doi.org/10.1007/978-3-540-44767-2_5

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