Signatures of Stellar Reionization of the Universe: Erratum

Astronomy and Astrophysics – Astronomy

Scientific paper

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Errata, Addenda

Scientific paper

In the paper "Signatures of Stellar Reionization of the Universe" by Zoltan Haiman and Abraham Loeb (ApJ, 483, 21 [1997]), the stated values of the normalization sigma _{8h^{-1}} are misleading as they are based on Gaussian, rather than conventional top-hat filtering. We calculated the value of sigma _{8h^{-1}} from the power spectrum P(k) with a Gaussian filter; i.e., using W(k) = exp (-k2r2/2) in the expression sigma 2(r) = ∫ d3kW2(k)P(k). With the BBKS power spectrum (J. M. Bardeen, J. R. Bond, N. Kaiser, & A. S. Szalay, ApJ, 304, 15 [1986]), this gives a 2.23 times smaller value for sigma _{8h^{-1}} than one would obtain with the conventional top-hat filter, W(k) = 3j1(kr)/kr. Accordingly, our values quoted for sigma _{8h^{-1}} should be multiplied by a factor of 2.23 to correspond to the conventional interpretation. Our results remain valid, except that our models with sigma _{8h^{-1}}({Gaussian})=0.67 , for example, correspond to sigma _{8h^{-1}}(⊤-hat)= 1.49. We have reproduced our calculations using the conventional top-hat normalization in each case. Table 1 summarizes the corrected reionization redshifts and electron scattering optical depths for the original range of parameters. Although in all cases reionization occurs somewhat later than originally stated (at z = 18 rather than z = 25 in our standard model), the electron scattering optical depths remain similar and are detectable by MAP and the Planck Surveyor. The authors would like to thank N. Gnedin for a discussion that led to their noticing and correcting the error.

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