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Journal of the Korean Physical Society

, Volume 73, Issue 4, pp 504–515 | Cite as

Large Scale Structure in Redshift Space

  • Yong-Seon SongEmail author
Review Articles
  • 43 Downloads
Part of the following topical collections:
  1. JKPS 50th Anniversary Reviews

Abstract

The mapping of dark matter clustering from real space to redshift space introduces the anisotropic property to the measured density power spectrum in redshift space, known as the redshift space distortion effect. The mapping formula is intrinsically non-linear, which is complicated by the higher order polynomials due to indefinite cross correlations between the density and velocity fields, and the Finger–of–God effect due to the randomness of the peculiar velocity field. Whilst the full higher order polynomials remain unknown, the other systematics can be controlled consistently within the same order truncation in the expansion of the mapping formula, as shown in this paper. The systematic due to the unknown non–linear density and velocity fields is removed by separately measuring all terms in the expansion directly using simulations. The uncertainty caused by the velocity randomness is controlled by splitting the FoG term into two pieces, 1) the “one–point” FoG term being independent of the separation vector between two different points, and 2) the “correlated” FoG term appearing as an indefinite polynomials which is expanded in the same order as all other perturbative polynomials. We introduce the recent progress on understanding this mapping, and the application for the future analysis to reveal the nature of cosmic acceleration.

Keywords

Large-scale structure formation 

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References

  1. [1]
    A. G. Riess et al., AJL 116, 1009 (1998), astroph/9805201.ADSCrossRefGoogle Scholar
  2. [2]
    S. Perlmutter et al., Astrophys. J. 517, 565 (1999), astro-ph/9812133.ADSCrossRefGoogle Scholar
  3. [3]
    D. H. Weinberg, M. J. Mortonson, D. J. Eisenstein, C. Hirata, A. G. Riess and E. Rozo, Physics reports 530, 87 (2013), 1201.2434.ADSMathSciNetCrossRefGoogle Scholar
  4. [4]
    L. Amendola, C. Quercellini and E. Giallongo, MNRAS 357, 429 (2005), arXiv:astro-ph/0404599.ADSCrossRefGoogle Scholar
  5. [5]
    K. Yamamoto, B. A. Bassett and H. Nishioka, Physical Review Letters 94, 051301 (2005), arXiv:astroph/0409207.ADSCrossRefGoogle Scholar
  6. [6]
    Y. Wang, JCAP 5, 21 (2008), 0710.3885.ADSCrossRefGoogle Scholar
  7. [7]
    W. J. Percival and M. White, MNRAS 393, 297 (2009), 0808.0003.ADSCrossRefGoogle Scholar
  8. [8]
    Y-S. Song and W. J. Percival, JCAP 10, 4 (2009), 0807.0810.ADSCrossRefGoogle Scholar
  9. [9]
    M. White, Y-S. Song and W. J. Percival, MNRAS 397, 1348 (2009), 0810.1518.ADSCrossRefGoogle Scholar
  10. [10]
    Y-S. Song, Phys. Rev. D 83, 103009 (2011), 1009.2753.ADSCrossRefGoogle Scholar
  11. [11]
    Y. Wang et al., MNRAS 409, 737 (2010), 1006.3517.ADSCrossRefGoogle Scholar
  12. [12]
    P. Zhang, M. Liguori, R. Bean and S. Dodelson, Physical Review Letters 99, 141302 (2007), 0704.1932.ADSCrossRefGoogle Scholar
  13. [13]
    B. Jain and P. Zhang, Phys. Rev. D 78, 063503 (2008), 0709.2375.ADSCrossRefGoogle Scholar
  14. [14]
    E. V. Linder, Astroparticle Physics 29, 336 (2008), 0709.1113.ADSCrossRefGoogle Scholar
  15. [15]
    R. Reyes, R. Mandelbaum, U. Seljak, T. Baldauf, J. E. Gunn, L. Lombriser and R. E. Smith, Nature (London) 464, 256 (2010), 1003.2185.ADSCrossRefGoogle Scholar
  16. [16]
    Y-C. Cai and G. Bernstein, MNRAS 422, 1045 (2012), 1112.4478.ADSCrossRefGoogle Scholar
  17. [17]
    E. Gazta˜naga, M. Eriksen, M. Crocce, F. J. Castander, P. Fosalba, P. Marti, R. Miquel and A. Cabré, MNRAS 422, 2904 (2012).ADSCrossRefGoogle Scholar
  18. [18]
    E. Jennings, C. M. Baugh, B. Li, G-B. Zhao and K. Koyama, ArXiv e-prints (2012), 1205.2698.Google Scholar
  19. [19]
    B. Li, W. A. Hellwing, K. Koyama, G-B. Zhao, E. Jennings and C. M. Baugh, MNRAS 428, 743 (2013), 1206.4317.ADSCrossRefGoogle Scholar
  20. [20]
    T. Okumura et al., ArXiv e-prints (2015), 1511.08083.Google Scholar
  21. [21]
    H-J. Seo and D. J. Eisenstein, Astrophys. J. 598, 720 (2003), arXiv:astro-ph/0307460.ADSCrossRefGoogle Scholar
  22. [22]
    D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005), arXiv:astro-ph/0501171.ADSCrossRefGoogle Scholar
  23. [23]
    C. Blake et al., MNRAS 418, 1707 (2011), 1108.2635.ADSCrossRefGoogle Scholar
  24. [24]
    L. Anderson et al., MNRAS 427, 3435 (2012), 1203.6594.ADSCrossRefGoogle Scholar
  25. [25]
    E. A. Kazin et al., MNRAS 441, 3524 (2014), 1401.0358.ADSCrossRefGoogle Scholar
  26. [26]
    Y-S. Song, T. Okumura and A. Taruya, Phys. Rev. D 89, 103541 (2014), 1309.1162.ADSCrossRefGoogle Scholar
  27. [27]
    L. Anderson et al., MNRAS 441, 24 (2014), 1312.4877.ADSCrossRefGoogle Scholar
  28. [28]
    H. Gil-Marín et al., ArXiv e-prints (2015), 1509.06373.Google Scholar
  29. [29]
    G-B. Zhao et al., MNRAS 457, 2377 (2016), 1510.08216.ADSCrossRefGoogle Scholar
  30. [30]
    C. Alcock and B. Paczynski, Nature (London) 281, 358 (1979).ADSCrossRefGoogle Scholar
  31. [31]
    J. C. Jackson, MNRAS 156, 1P (1972).ADSCrossRefGoogle Scholar
  32. [32]
    W. L. W. Sargent and E. L. Turner, ApJL 212, L3 (1977).ADSCrossRefGoogle Scholar
  33. [33]
    P. J. E. Peebles, The large-scale structure of the universe (1980).Google Scholar
  34. [34]
    N. Kaiser, MNRAS 227, 1 (1987).ADSCrossRefGoogle Scholar
  35. [35]
    J. A. Peacock and S. J. Dodds, MNRAS 267, 1020 (1994), arXiv:astro-ph/9311057.ADSCrossRefGoogle Scholar
  36. [36]
    W. E. Ballinger, J. A. Peacock and A. F. Heavens, MNRAS 282, 877 (1996), arXiv:astro-ph/9605017.ADSCrossRefGoogle Scholar
  37. [37]
    J. A. Peacock et al., Nature (London) 410, 169 (2001), arXiv:astro-ph/0103143.ADSCrossRefGoogle Scholar
  38. [38]
    M. Tegmark, A. J. S. Hamilton and Y. Xu, MNRAS 335, 887 (2002), arXiv:astro-ph/0111575.ADSCrossRefGoogle Scholar
  39. [39]
    M. Tegmark et al., Astrophys. J. 606, 702 (2004), arXiv:astro-ph/0310725.ADSCrossRefGoogle Scholar
  40. [40]
    L. Samushia, W. J. Percival and A. Raccanelli, MNRAS 420, 2102 (2012), 1102.1014.ADSCrossRefGoogle Scholar
  41. [41]
    L. Guzzo et al., Nature (London) 451, 541 (2008), 0802.1944.ADSCrossRefGoogle Scholar
  42. [42]
    C. Blake et al., MNRAS 415, 2876 (2011), 1104.2948.ADSCrossRefGoogle Scholar
  43. [43]
    C. Blake et al., MNRAS 425, 405 (2012), 1204.3674.ADSCrossRefGoogle Scholar
  44. [44]
    B. A. Reid et al., ArXiv e-prints (2012), 1203.6641.Google Scholar
  45. [45]
    R. Tojeiro et al., ArXiv e-prints (2012), 1203.6565.Google Scholar
  46. [46]
    B. A. Reid, H-J. Seo, A. Leauthaud, J. L. Tinker and M. White, MNRAS 444, 476 (2014), 1404.3742.ADSCrossRefGoogle Scholar
  47. [47]
    Y-S. Song, C. G. Sabiu, T. Okumura, M. Oh and E. V. Linder, JCAP 12, 005 (2014), 1407.2257.ADSCrossRefGoogle Scholar
  48. [48]
    Y-S. Song, A. Taruya, E. Linder, K. Koyama, C. G. Sabiu, G-B. Zhao, F. Bernardeau, T. Nishimichi and T. Okumura, Phys. Rev. D 92, 043522 (2015), 1507.01592.ADSCrossRefGoogle Scholar
  49. [49]
    F. Simpson, C. Blake, J. A. Peacock, I. K. Baldry, J. Bland-Hawthorn, A. F. Heavens, C. Heymans, J. Loveday and P. Norberg, Phys. Rev. D 93, 023525 (2016), 1505.03865.ADSCrossRefGoogle Scholar
  50. [50]
    K. B. Fisher, Astrophys. J. 448, 494 (1995), arXiv:astroph/9412081.ADSCrossRefGoogle Scholar
  51. [51]
    A. F. Heavens, S. Matarrese, and L. Verde, MNRAS 301, 797 (1998), arXiv:astro-ph/9808016.ADSCrossRefGoogle Scholar
  52. [52]
    M. White, MNRAS 321, 1 (2001), arXiv:astroph/0005085.ADSCrossRefGoogle Scholar
  53. [53]
    U. Seljak, MNRAS 325, 1359 (2001), arXiv:astroph/0009016.ADSCrossRefGoogle Scholar
  54. [54]
    X. Kang, Y. P. Jing, H. J. Mo and G. Börner, MNRAS 336, 892 (2002), arXiv:astro-ph/0201124.ADSCrossRefGoogle Scholar
  55. [55]
    J. L. Tinker, D. H. Weinberg, and Z. Zheng, MNRAS 368, 85 (2006), arXiv:astro-ph/0501029.ADSCrossRefGoogle Scholar
  56. [56]
    J. L. Tinker, MNRAS 374, 477 (2007), arXiv:astroph/0604217.ADSCrossRefGoogle Scholar
  57. [57]
    R. Scoccimarro, Phys. Rev. D 70, 083007 (2004), arXiv:astro-ph/0407214.ADSCrossRefGoogle Scholar
  58. [58]
    T. Matsubara, Phys. Rev. D 77, 063530 (2008), 0711.2521.ADSCrossRefGoogle Scholar
  59. [59]
    T. Matsubara, Phys. Rev. D 78, 083519 (2008), 0807.1733.ADSCrossRefGoogle Scholar
  60. [60]
    V. Desjacques and R. K. Sheth, Phys. Rev. D 81, 023526 (2010), 0909.4544.ADSCrossRefGoogle Scholar
  61. [61]
    A. Taruya, T. Nishimichi and S. Saito, Phys. Rev. D 82, 063522 (2010), 1006.0699.ADSCrossRefGoogle Scholar
  62. [62]
    A. Taruya, T. Nishimichi and F. Bernardeau, Phys. Rev. D 87, 083509 (2013), 1301.3624.ADSCrossRefGoogle Scholar
  63. [63]
    T. Matsubara, Phys. Rev. D 83, 083518 (2011), 1102.4619.ADSCrossRefGoogle Scholar
  64. [64]
    T. Okumura and Y. P. Jing, Astrophys. J. 726, 5 (2011), 1004.3548.ADSCrossRefGoogle Scholar
  65. [65]
    T. Okamura, A. Taruya and T. Matsubara, JCAP 8, 12 (2011), 1105.1491.ADSCrossRefGoogle Scholar
  66. [66]
    M. Sato and T. Matsubara, Phys. Rev. D 84, 043501 (2011), 1105.5007.ADSCrossRefGoogle Scholar
  67. [67]
    E. Jennings, C. M. Baugh and S. Pascoli, MNRAS 410, 2081 (2011), 1003.4282.ADSGoogle Scholar
  68. [68]
    B. A. Reid and M. White, MNRAS 417, 1913 (2011), 1105.4165.ADSCrossRefGoogle Scholar
  69. [69]
    U. Seljak and P. McDonald, JCAP 11, 39 (2011), 1109.1888.ADSCrossRefGoogle Scholar
  70. [70]
    T. Okumura, U. Seljak, P. McDonald and V. Desjacques, JCAP 2, 10 (2012), 1109.1609.ADSCrossRefGoogle Scholar
  71. [71]
    T. Okumura, U. Seljak and V. Desjacques, JCAP 11, 014 (2012), 1206.4070.ADSCrossRefGoogle Scholar
  72. [72]
    J. Kwan, G. F. Lewis and E. V. Linder, Astrophys. J. 748, 78 (2012), 1105.1194.ADSCrossRefGoogle Scholar
  73. [73]
    P. Zhang, J. Pan and Y. Zheng, Phys. Rev. D 87, 063526 (2013), 1207.2722.ADSCrossRefGoogle Scholar
  74. [74]
    Y. Zheng, P. Zhang, Y. Jing, W. Lin and J. Pan, Phys. Rev. D 88, 103510 (2013), 1308.0886.ADSCrossRefGoogle Scholar
  75. [75]
    T. Ishikawa, T. Totani, T. Nishimichi, R. Takahashi, N. Yoshida and M. Tonegawa, MNRAS 443, 3359 (2014), 1308.6087.ADSCrossRefGoogle Scholar
  76. [76]
    M. White, B. Reid, C-H. Chuang, J. L. Tinker, C. K. McBride, F. Prada and L. Samushia, MNRAS 447, 234 (2015), 1408.5435.ADSCrossRefGoogle Scholar
  77. [77]
    E. Jennings, R. H. Wechsler, S. W. Skillman and M. S. Warren, MNRAS 457, 1076 (2016), 1508.01803.ADSCrossRefGoogle Scholar
  78. [78]
    D. Bianchi, M. Chiesa and L. Guzzo, MNRAS 446, 75 (2015), 1407.4753.ADSCrossRefGoogle Scholar
  79. [79]
    D. Bianchi, W. Percival and J. Bel, ArXiv e-prints (2016), 1602.02780.Google Scholar
  80. [80]
    E. Jennings, C. M. Baugh and S. Pascoli, ApJL 727, L9 (2011), 1011.2842.ADSCrossRefGoogle Scholar
  81. [81]
    D. Bianchi, L. Guzzo, E. Branchini, E. Majerotto, S. de la Torre, F. Marulli, L. Moscardini and R. E. Angulo, MNRAS 427, 2420 (2012), 1203.1545.ADSCrossRefGoogle Scholar
  82. [82]
    S. de la Torre and L. Guzzo, ArXiv e-prints (2012), 1202.5559.Google Scholar
  83. [83]
    A. Taruya and T. Hiramatsu, Astrophys. J. 674, 617 (2008), 0708.1367.ADSCrossRefGoogle Scholar
  84. [84]
    V. Springel, MNRAS 364, 1105 (2005), arXiv:astroph/0505010.ADSCrossRefGoogle Scholar
  85. [85]
    M. Levi et al., ArXiv e-prints (2013), 1308.0847.Google Scholar
  86. [86]
    Planck Collaboration, P. A. R. Ade et al., ArXiv e-prints (2015), 1502.01589.Google Scholar
  87. [87]
    M. Crocce, S. Pueblas and R. Scoccimarro, MNRAS 373, 369 (2006), astro-ph/0606505.ADSCrossRefGoogle Scholar
  88. [88]
    A. Taruya, F. Bernardeau, T. Nishimichi and S. Codis, Phys. Rev. D 86, 103528 (2012), 1208.1191.ADSCrossRefGoogle Scholar
  89. [89]
    Y. P. Jing, Astrophys. J. 620, 559 (2005), arXiv:astroph/0409240.ADSCrossRefGoogle Scholar
  90. [90]
    P. Zhang, Y. Zheng and Y. Jing, Phys. Rev. D 91, 043522 (2015), 1405.7125.ADSCrossRefGoogle Scholar
  91. [91]
    Y. Zheng, P. Zhang and Y. Jing, Phys. Rev. D 91, 043523 (2015), 1409.6809.ADSCrossRefGoogle Scholar
  92. [92]
    Y. Zheng and Y-S. Song, JCAP 8, 050 (2016), 1603.00101.ADSCrossRefGoogle Scholar
  93. [93]
    Y-S. Song, Y. Zheng, A. Taruya and M. Oh, JCAP (submitted).Google Scholar

Copyright information

© The Korean Physical Society 2018

Authors and Affiliations

  1. 1.Korea Astronomy and Space Science InstituteDaejeonKorea

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