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The Knotted Sky I: Planck constraints on the primordial power spectrum · Around

2014

The Knotted Sky I: Planck constraints on the primordial power spectrum

Aslanyan, Grigor, Price, Layne C., Abazajian, Kevork N. et al.

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Using the temperature data from Planck we search for departures from a power-law primordial power spectrum, employing Bayesian model-selection and posterior probabilities.

We parametrize the spectrum with $n$ knots located at arbitrary values of $\log{k}$, with both linear and cubic splines.
This formulation recovers both slow modulations and sharp transitions in the primordial spectrum.
The power spectrum is well-fit by a featureless, power-law at wavenumbers $k>10^{-3} \, \mathrm{Mpc}^{-1}$.

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A. Shafieloo and T. Souradeep, Estimation of Primordial Spectrum with post-WMAP 3 year data
Original
1944
Earlier work this paper cites.
J. A. Vazquez, A. Lasenby, M. Bridges, and M. Hobson, A Bayesian study of the primordial power spectrum from a novel closed universe model
Original
1956
Earlier work this paper cites.
Oxford University Press, 1961
H. Jeffreys, Theory of Probability · 1961
Earlier work this paper cites.
J. O. Berger and J. Mortera, Interpreting the stars in precise hypothesis testing
1991
Earlier work this paper cites.
A. Lewis, A. Challinor, and A. Lasenby, Efficient computation of CMB anisotropies in closed FRW models
2000
Earlier work this paper cites.
S. Hannestad, Reconstructing the inflationary power spectrum from CMBR data
2001
Earlier work this paper cites.
W. H. Kinney, How to fool cosmic microwave background parameter estimation
2001
Earlier work this paper cites.
E. Hivon, K. Gorski, C. Netterfield, B. Crill, S. Prunet, et. al
2002
Earlier work this paper cites.
P. Mukherjee and Y. Wang, Model-independent reconstruction of the primordial power spectrum from WMAP data
2003
Earlier work this paper cites.
A. Shafieloo and T. Souradeep, Primordial power spectrum from WMAP
2004
Earlier work this paper cites.
S. Hannestad, Reconstructing the primordial power spectrum - A New algorithm
2004
Earlier work this paper cites.
G. Efstathiou, Myths and truths concerning estimation of power spectra
2004
Earlier work this paper cites.
H. Eriksen, F. Hansen, A. Banday, K. Gorski, and P. Lilje, Asymmetries in the Cosmic Microwave Background anisotropy field
2004
Earlier work this paper cites.
D. Tocchini-Valentini, Y. Hoffman, and J. Silk, Non-parametric reconstruction of the primordial power spectrum at horizon scales from wmap data
2006
Earlier work this paper cites.
S. M. Leach, Measuring the primordial power spectrum: Principal component analysis of the cosmic microwave background
2006
Earlier work this paper cites.
M. Bridges, A. Lasenby, and M. Hobson, A bayesian analysis of the primordial power spectrum
2006
Earlier work this paper cites.
M. Bridges, A. Lasenby, and M. Hobson, WMAP 3-year primordial power spectrum
2006
Earlier work this paper cites.

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