Gravitational Lensing Effect on the Two-Point Correlation Function of Hot Spots in 21 cm fluctuations

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We investigate the weak gravitational lensing effect on the two-point correlation function of local maxima (hot spots) in the cosmic 21 cm fluctuation map. The intrinsic two-point function has a pronounced depression feature around the angular scale of $θ\sim 40$ arcmin, which depends on the observed frequency and corresponds to the scale of the acoustic oscillation of cosmic plasma before the recombination. It is found that the weak lensing induces a large w-dependent smoothing at that scale where w is the equation of state parameter of dark energy and thus provides a useful constraints on the dark energy property combined with the depression angular scales on the two-point correlation function.
7 pages, submitted to MNRAS

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