Analytical model for CMB temperature angular power spectrum from cosmic (super-)strings

Abstract

We present a new analytical method to calculate the small angle CMB temperature angular power spectrum due to cosmic (super-)string segments. In particular, using our method, we clarify the dependence on the intercommuting probability $P$. We find that the power spectrum is dominated by Poisson-distributed string segments. The power spectrum for a general value of $P$ has a plateau on large angular scales and shows a power-law decrease on small angular scales. The resulting spectrum in the case of conventional cosmic strings is in very good agreement with the numerical result obtained by Fraisse et al.. Then we estimate the upper bound on the dimensionless tension of the string for various values of $P$ by assuming that the fraction of the CMB power spectrum due to cosmic (super-)strings is less than ten percents at various angular scales up to $\ell =2000$. We find that the amplitude of the spectrum increases as the intercommuting probability. As a consequence, strings with smaller intercommuting probabilities are found to be more tightly constrained.

7 pages,6 figures; references and comments added

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• Weak lensing generated by vector perturbations and detectability of cosmic strings
• Full-sky formulae for weak lensing power spectra from total angular momentum method
• Type-I cosmic string network
• Constraining cosmic string parameters with curl mode of CMB lensing
• Peak-peak correlations in the cosmic background radiation from cosmic strings
• Weak lensing of CMB by cosmic (super-)strings
• Femto-lensing due to a Cosmic String
• CMB ISW-lensing bispectrum from cosmic strings
• Cosmic Strings-induced CMB anisotropies in light of Weighted Morphology