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Prog. Theor. Phys. Vol. 114 No. 3 (2005) pp. 555-572

[ Full Text PDF : FREE ACCESS (342K) ]

Constraining Cosmological Parameters by the Cosmic Inversion Method

Noriyuki Kogo,1,2,* Misao Sasaki2,** and Jun'ichi Yokoyama3,***

1Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka 560-0043, Japan
2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
3Research Center for the Early Universe, School of Science, The Univresity of Tokyo, Tokyo 113-0033, Japan

(Received April 22, 2005)

Abstract:

We investigate the question of how tightly we can constrain the cosmological parameters by using the “cosmic inversion” method in which we directly reconstruct the power spectrum of primordial curvature perturbations, P(k), from the temperature and polarization spectra of the cosmic microwave background (CMB). In a previous paper, we suggested that it may be possible to constrain the cosmological parameters using the fact that the reconstructed P(k) does not depend on how many polarization data we incorporate in our inversion procedure if and only if the correct values of the cosmological parameters are used. The advantage of this approach is that we need no assumption regarding the functional form of P(k). In this paper, we estimate typical errors in the determination of the cosmological parameters when our method is applied to the PLANCK observation. We investigate constraints on h, Ωb, Ωm, and ΩΛ through Monte Carlo simulations.


URL : http://ptp.ipap.jp/link?PTP/114/555/
DOI : 10.1143/PTP.114.555


*E-mail: kogo@yukawa.kyoto-u.ac.jp
**E-mail: misao@yukawa.kyoto-u.ac.jp
***E-mail: yokoyama@resceu.s.u-tokyo.ac.jp

[ Full Text PDF : FREE ACCESS (342K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 125 No. 5 (2011) pp. 1035-1052 :
    The Effect of Varying Sound Velocity on Primordial Curvature Perturbations
    Masahiro Nakashima, Ryo Saito, Yu-ichi Takamizu and Jun'ichi Yokoyama
  2. Progress of Theoretical Physics Supplement No. 172 (2008) pp. 156-160 :
    Early Universe with CMB Anisotropy
    Tarun Souradeep and Arman Shafieloo

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