Reionization constraints using principal component analysis
Sourav Mitra1, Tirthankar Roy Choudhury2 and Andrea Ferrara3
1Harish-Chandra Research Institute, Allahabad
2SISSA, Trieste, Italy
E-mail: smitra@hri.res.in

Abstract. Using a semi-analytical model developed by Choudhury and Ferrara (2005) we study the observational constraints on reionization via a principal component analysis (PCA). Assuming that reionization at z > 6 is primarily driven by stellar sources, we decompose the unknown function Nion(z), representing the number of photons in the IGM per baryon in collapsed objects, into its principal components and constrain the latter using the photoionization rate obtained from Ly-alpha forest Gunn-Peterson optical depth, the WMAP7 electron scattering optical depth and the redshift distribution of Lyman-limit systems at z ∼ 3.5. The main findings of our analysis are: (i) It is sufficient to model Nion(z) over the redshift range 2 < z < 14 using 5 parameters to extract the maximum information contained within the data, (ii) All quantities related to reionization can be severely constrained for z < 6 because of a large number of data points whereas constraints at z > 6 are relatively loose, (iii) The weak constraints on Nion(z) at z > 6 do not allow to disentangle different feedback models with present data. There is a clear indication that Nion(z) must increase at z > 6, thus ruling out reionization by a single stellar population with non-evolving IMF, and/or star-forming efficiency, and/or photon escape fraction. The data allows for non-monotonic Nion(z) which may contain sharp features around z ∼ 7 and (iv) The PCA implies that reionization must be 99% completed between 5.8 < z < 10.3 (95% confidence level) and is expected to be 50% complete at z &approx 9.5-12. With future data sets, like those obtained by Planck, the z > 6 constraints will be significantly improved.