Wavelet Band Powers of the Primordial Power Spectrum from CMB Data

摘要

Measuring the primordial matter power spectrum is our primary means ofprobing unknown physics in the very early universe. We allow the primordialpower spectrum to be an arbitrary function, and parametrize it in terms ofwavelet band powers. Current cosmological data correspond to 11 such waveletbands. We derive constraints on these band powers as well as $H_0$, $Omega_bh^2$ and $Omega_m h^2$ from current Cosmic Microwave Background Anisotropy(CMB) data using the Markov Chain Monte Carlo (MCMC) technique. Our resultsindicate a feature in the primordial power spectrum at $ 0.008 la k/(h{Mpc}^{-1}) la 0.1$. MAP and Planck data should allow us to put tighterconstraints on the primordial power spectrum.