Data compression of measurements of peculiar velocities of supernovae type Ia
- Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana (Slovenia)
- Brookhaven National Laboratory, Upton New York 11973 (United States)
We study the compression of information present in the correlated perturbations to the luminosity distance in the low-redshift (z<0.1) supernovae Ia due to peculiar velocities of these supernovae. We demonstrate that the naieve compression into angular velocity power spectrum does not work efficiently, due to thickness of the spherical shell over which the supernovae are measured. Instead, we show that measurements can be compressed into measurements of f{sup 2}P(k), where f is the logarithmic rate of growth of linear perturbations and P(k) is their power spectrum. We develop an optimal quadratic estimator and show that it recovers all information for {Lambda}CDM models for surveys of N{approx}10,000 or more supernovae. We explicitly demonstrate robustness with respect to the assumed fiducial model and the number of power spectrum bins. Using mock catalogues of supernovae Ia we estimate that future low-redshift surveys will be able to probe {sigma}{sub 8} to 6% accuracy with 10 000 supernovae Ia.
- OSTI ID:
- 21502711
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 12; Other Information: DOI: 10.1103/PhysRevD.83.123501; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COSMOLOGY AND ASTRONOMY
ACCURACY
ANGULAR VELOCITY
COMPRESSION
DISTURBANCES
LUMINOSITY
PERTURBATION THEORY
RED SHIFT
SPECTRA
SPHERICAL CONFIGURATION
SUPERNOVAE
THICKNESS
BINARY STARS
CONFIGURATION
DIMENSIONS
ERUPTIVE VARIABLE STARS
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
STARS
VARIABLE STARS
VELOCITY