Joint Planck and WMAP Assessment of Low CMB Multipoles

Asif Iqbal, Jayanti Prasad, Tarun Souradeep, Manzoor A. Malik

Published 2015-01-12Version 1

The remarkable progress in cosmic microwave background (CMB) studies over past decade has led to the era of precision cosmology in striking agreement with the $\Lambda$CDM model. However, the lack of power in the CMB temperature anisotropies at large angular scales (low-$\ell$), as has been confirmed by the recent Planck data also (up to $\ell=40$), is still an open problem. One can avoid to seek an explanation for this problem by attributing the lack of power to cosmic variance or can look for explanations i.e., different inflationary potentials or initial conditions for inflation to begin with, non-trivial topology, ISW effect etc. Features in the primordial power spectrum (PPS) motivated by the early universe physics has been the most common solution to address this problem. In the present work we also follow this approach and consider a set of PPS which have features and constrain the parameters of those using WMAP 9 year and Planck data employing Markov-Chain Monte Carlo (MCMC) analysis. The prominent feature of all the models of PPS that we consider is an infra-red cut off which leads to suppression of power at large angular scales. We consider models of PPS with maximum three extra parameters and use Akaike information criterion ($AIC$) of model selection to compare the models. We find that inflationary models with cut off features lead to a better fit of the observed data compared to simple power law model. For most models we find good constraints for the cut off scale $k_c$, however, for other parameters our constraints are not that good. We find that model with sharp cut off in PPS best-fit the WMAP 9 year data and Starabinsky models is the preferred model for the joint WMAP 9 year + Planck data set, which is also able to produce CMB power suppression up to $\ell\leq30$ to some extent.