Analytic Model for CMB Temperature Fluctuations from Cosmic (Super-)Strings(Chapter IV: Topological defects,Cosmology-The Next Generation-)

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We present an analytical method to calculate the small angle CMB temperature angular power spectrum due to cosmic (super-)string segments, following our previous paper [Phys. Rev. D 82 (2010), 063518, arXiv: 1006.0687]. In particular, using our method, we clarify the dependence on the intercommuting probability P. 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 l=2000. 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.
2011-10-31