Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aas...19312211m&link_type=abstract
American Astronomical Society, 193rd AAS Meeting, #122.11; Bulletin of the American Astronomical Society, Vol. 31, p.666
Astronomy and Astrophysics
Astronomy
Scientific paper
We analyze the Karhunen-Loève (KL) eigenmodes of Las Campanas Redshift Survey to simultaneously constrain the redshift-distortion parameter, β , and the CDM power spectrum normalization, σ 8, and the shape parameter, Γ . The KL eigenmodes are orthogonal bases which are optimal in the sense that they maximize the S/N ratio of the data. In addition to that, they are sensitive to fluctuations on large scales, so that we can safely use the linear theory in the analysis. Using our linear theory expression for the two-point correlation function in redshift space with finite angle geometry, which we have derived in a previous paper, we construct KL eigenmodes for the specific geometry of the Las Campanas Redshift Survey. A likelihood analysis is performed on the KL power spectrum of the survey to constrain the parameters β , σ 8 and Γ . We obtain the likelihood function in three-dimensional parameter space for both the Northern and Southern samples separately, and then combined. The results for the projected likelihood functions are β = 0.57+0.90-0.65, σ 8 = 0.77+0.23-0.14, Γ = 0.15+0.23-0.05 for the North, β = 0.38+0.60-0.48, σ 8 = 0.63+0.16-0.11, Γ = 0.09+0.10-0.05 for the South, and β = 0.42+0.50-0.38, σ 8 = 0.73+0.15-0.13, Γ = 0.13+0.10-0.05 for the combined sample (Error ranges correspond to FWHM of the likelihood function). The method we have developed here can be straightforwardly applied to any redshift data of any geometry. Implications of this method to the SDSS survey are discussed.
Landy Stephen D.
Matsubara Takahiko
Szalay Alex S.
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