Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Bispectrum of galaxies from high-redshift galaxy surveys: Primordial non-Gaussianity and nonlinear galaxy bias

Emiliano Sefusatti*

Eiichiro Komatsu

  • Particle Astrophysics Center, Fermi National Accelerator Laboratory, Batavia, Illinois 60510-0500, USA

  • Department of Astronomy, University of Texas at Austin, 2511 Speedway, RLM 15.306, Texas 78712, USA

  • *emiliano@fnal.gov

Phys. Rev. D 76, 083004 – Published 17 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.083004

Abstract

The greatest challenge in the interpretation of galaxy clustering data from any surveys is galaxy bias. Using a simple Fisher matrix analysis, we show that the bispectrum provides an excellent determination of linear and nonlinear bias parameters of intermediate and high-z galaxies, when all measurable triangle configurations down to mildly nonlinear scales, where perturbation theory is still valid, are included. The bispectrum is also a powerful probe of primordial non-Gaussianity. The planned galaxy surveys at z2 should yield constraints on non-Gaussian parameters, fNLloc. and fNLeq., that are comparable to, or even better than, those from cosmic microwave background experiments. We study how these constraints improve with volume and redshift range, as well as the number density of galaxies. Finally, we show that a halo occupation distribution may be used to improve these constraints further by lifting degeneracies between gravity, bias, and primordial non-Gaussianity.

Article Text

References (74)

  1. S. Cole et al., Mon. Not. R. Astron. Soc. 362, 505 (2005).
  2. D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005).
  3. G. Hütsi, Astron. Astrophys. 449, 891 (2006).
  4. W. J. Percival et al., Astrophys. J. 657, 51 (2007).
  5. P. McDonald, Phys. Rev. D 74, 103512 (2006) 74, 129901 (2006).
  6. R. E. Smith, R. Scoccimarro, and R. K. Sheth, Phys. Rev. D 75, 063512 (2007).
  7. R. E. Smith, R. Scoccimarro, and R. K. Sheth, arXiv:astro-ph/0703620.
  8. J. N. Fry, Phys. Rev. Lett. 73, 215 (1994).
  9. S. Matarrese, L. Verde, and A. F. Heavens, Mon. Not. R. Astron. Soc. 290, 651 (1997).
  10. R. Scoccimarro, H. A. Feldman, J. N. Fry, and J. A. Frieman, Astrophys. J. 546, 652 (2001).
  11. E. Gaztañaga, P. Norberg, C. M. Baugh, and D. J. Croton, Mon. Not. R. Astron. Soc. 364, 620 (2005).
  12. T. Nishimichi, I. Kayo, C. Hikage, K. Yahata, A. Taruya, Y. P. Jing, R. K. Sheth, and Y. Suto, Publ. Astron. Soc. Jpn. 59, 93 (2007).
  13. J. Pan and I. Szapudi, Mon. Not. R. Astron. Soc. 362, 1363 (2005).
  14. L. Verde et al., Mon. Not. R. Astron. Soc. 335, 432 (2002).
  15. G. V. Kulkarni, R. C. Nichol, R. K. Sheth, H.-J. Seo, D. J. Eisenstein, and A. Gray, Mon. Not. R. Astron. Soc. 378, 1196 (2007).
  16. E. Sefusatti, M. Crocce, S. Pueblas, and R. Scoccimarro, Phys. Rev. D 74, 023522 (2006).
  17. E. Sefusatti and R. Scoccimarro, Phys. Rev. D 71, 063001 (2005).
  18. M. J. Chodorowski and F. R. Bouchet, Mon. Not. R. Astron. Soc. 279, 557 (1996).
  19. R. Durrer, R. Juszkiewicz, M. Kunz, and J.-P. Uzan, Phys. Rev. D 62, 021301 (2000).
  20. J. N. Fry and R. J. Scherrer, Astrophys. J. 429, 36 (1994).
  21. C. Hikage, E. Komatsu, and T. Matsubara, Astrophys. J. 653, 11 (2006).
  22. R. Scoccimarro, Astrophys. J. 542, 1 (2000).
  23. R. Scoccimarro, E. Sefusatti, and M. Zaldarriaga, Phys. Rev. D 69, 103513 (2004).
  24. L. Verde, L. Wang, A. F. Heavens, and M. Kamionkowski, Mon. Not. R. Astron. Soc. 313, 141 (2000).
  25. X. Chen, R. Easther, and E. A. Lim, J. Cosmol. Astropart. Phys. 06 (2007) 023.
  26. M. Liguori, F. K. Hansen, E. Komatsu, S. Matarrese, and A. Riotto, Phys. Rev. D 73, 043505 (2006).
  27. A. Gangui, F. Lucchin, S. Matarrese, and S. Mollerach, Astrophys. J. 430, 447 (1994).
  28. E. Komatsu and D. N. Spergel, Phys. Rev. D 63, 063002 (2001).
  29. D. N. Spergel et al., Astrophys. J. Suppl. Ser. 170, 377 (2007).
  30. D. H. Lyth, C. Ungarelli, and D. Wands, Phys. Rev. D 67, 023503 (2003).
  31. G. Dvali, A. Gruzinov, and M. Zaldarriaga, Phys. Rev. D 69, 083505 (2004).
  32. G. Dvali, A. Gruzinov, and M. Zaldarriaga, Phys. Rev. D 69, 023505 (2004).
  33. F. Bernardeau and J.-P. Uzan, Phys. Rev. D 66, 103506 (2002).
  34. P. Creminelli, L. Senatore, M. Zaldarriaga, and M. Tegmark, J. Cosmol. Astropart. Phys. 3 (2007) 5.
  35. E. Komatsu et al., Astrophys. J. Suppl. Ser. 148, 119 (2003).
  36. E. Komatsu, B. D. Wandelt, D. N. Spergel, A. J. Banday, and K. M. Górski, Astrophys. J. 566, 19 (2002).
  37. D. Babich and M. Zaldarriaga, Phys. Rev. D 70, 083005 (2004).
  38. A. P. S. Yadav, E. Komatsu, and B. D. Wandelt, arXiv:astro-ph/0701921.
  39. A. Pillepich, C. Porciani, and S. Matarrese, arXiv:astro-ph/0611126.
  40. A. Cooray, Phys. Rev. Lett. 97, 261301 (2006).
  41. E. Sefusatti, C. Vale, K. Kadota, and J. Frieman, Astrophys. J. 658, 669 (2007).
  42. D. Babich, P. Creminelli, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 8 (2004) 9.
  43. M. Alishahiha, E. Silverstein, and D. Tong, Phys. Rev. D 70, 123505 (2004).
  44. P. Creminelli, J. Cosmol. Astropart. Phys. 10 (2003) 3.
  45. The function, M(k;a), uses the same definition as in [24] for Ωm=1, but it differs from M(k) given in [21], where the dependence on the growth function has been taken out as M(k;a)=MHKM(k)D(a). Also, the same function is defined in [23] in terms of the gravitational potential (i.e., the 0-0 component of the metric perturbations) during radiation domination, so that M(k;a)=910MSSZ(k;a), leading to a different definition of the non-Gaussian parameter, fNL=109fNLSSZ.
  46. X. Chen, Phys. Rev. D 72, 123518 (2005).
  47. N. Bartolo, S. Matarrese, and A. Riotto, J. Cosmol. Astropart. Phys. 10 (2005) 10.
  48. The equilateral reduced bispectrum is independent of scales only in the second-order perturbations. A scale dependence arises when the higher-order terms are included [55].
  49. J. N. Fry and E. Gaztanaga, Astrophys. J. 413, 447 (1993).
  50. F. Marín, R. Wechsler, J. Frieman, and R. Nichol, arXiv:0704.0255.
  51. A. F. Heavens, S. Matarrese, and L. Verde, Mon. Not. R. Astron. Soc. 301, 797 (1998).
  52. A. Taruya, Astrophys. J. 537, 37 (2000).
  53. N. Kaiser, Mon. Not. R. Astron. Soc. 227, 1 (1987).
  54. R. Scoccimarro, H. M. P. Couchman, and J. A. Frieman, Astrophys. J. 517, 531 (1999).
  55. R. Scoccimarro, S. Colombi, J. N. Fry, J. A. Frieman, E. Hivon, and A. Melott, Astrophys. J. 496, 586 (1998).
  56. D. Jeong and E. Komatsu, Astrophys. J. 651, 619 (2006).
  57. M. Crocce and R. Scoccimarro, Phys. Rev. D 73, 063520 (2006).
  58. M. Crocce and R. Scoccimarro, Phys. Rev. D 73, 063519 (2006).
  59. M. Crocce and R. Scoccimarro, arXiv:0704.2783.
  60. S. Matarrese and M. Pietroni, J. Cosmol. Astropart. Phys. 06 (2007) 026.
  61. P. McDonald, Phys. Rev. D 75, 043514 (2007).
  62. R. Scoccimarro, Phys. Rev. D 70, 083007 (2004).
  63. R. Scoccimarro, Astrophys. J. 487, 1 (1997).
  64. F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimarro, Phys. Rep. 367, 1 (2002).
  65. H. J. Mo, Y. P. Jing, and S. D. M. White, Mon. Not. R. Astron. Soc. 284, 189 (1997).
  66. R. K. Sheth and G. Tormen, Mon. Not. R. Astron. Soc. 308, 119 (1999).
  67. R. Scoccimarro, R. K. Sheth, L. Hui, and B. Jain, Astrophys. J. 546, 20 (2001).
  68. J. L. Tinker, D. H. Weinberg, Z. Zheng, and I. Zehavi, Astrophys. J. 631, 41 (2005).
  69. C. Conroy, R. H. Wechsler, and A. V. Kravtsov, Astrophys. J. 647, 201 (2006).
  70. H.-J. Seo and D. J. Eisenstein, Astrophys. J. 598, 720 (2003).
  71. M. Takada, E. Komatsu, and T. Futamase, Phys. Rev. D 73, 083520 (2006).
  72. G. J. Hill, K. Gebhardt, E. Komatsu, and P. J. Mac Queen, in The New Cosmology: Conference on Strings and Cosmology, edited by R. E. Allen, D. V. Nanopoulos, and C. N. Pope, AIP Conf. Proc. No. 743 (AIP, New York, 2004), pp. 224–233.
  73. K. Glazebrook, D. Eisenstein, A. Dey, B. Nichol, and WFMOS Feasibility Study Dark Energy Team, arXiv:astro-ph/0507457.
  74. G. J. Melnick, G. G. Fazio, V. Tolls, D. T. Jaffe, K. Gebhardt, V. Bromm, E. Komatsu, and R. A. Woodruff, Bull. Am. Astron. Soc. 36, 1509 (2004).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation