TY - JOUR
T1 - Gravitational lensing effect on the two-point correlation of hot spots in the cosmic microwave background
AU - Takada, Masahiro
AU - Komatsu, Eiichiro
AU - Futamase, Toshifumi
N1 - Funding Information:
We would like to thank Takashi Murayama, Makoto Hattori, and David N. Spergel for their valuable comments and useful discussions. We also would like to acknowledge Matias Zaldarriaga and Uros Seljak for making available their CMBFAST code. E. K. acknowledges support from the Japan Society for the Promotion of Science fellowship.
Publisher Copyright:
© 2000. The American Astronomical Society.
PY - 2000/4/20
Y1 - 2000/4/20
N2 - We investigate the weak gravitational lensing effect that is due to the large-scale structure of the universe on two-point correlations of local maxima (hot spots) in the two-dimensional sky map of the cosmic microwave background (CMB) anisotropy. According to the Gaussian random statistics, as most inflationary scenarios predict, the hot spots are discretely distributed, with some characteristic angular separations on the last scattering surface that are due to oscillations of the CMB angular power spectrum. The weak lensing then causes pairs of hot spots, which are separated with the characteristic scale, to be observed with various separations. We found that the lensing fairly smooths out the oscillatory features of the two-point correlation function of hot spots. This indicates that the hot spot correlations can be a new statistical tool for measuring the shape and normalization of the power spectrum of matter fluctuations from the lensing signatures.
AB - We investigate the weak gravitational lensing effect that is due to the large-scale structure of the universe on two-point correlations of local maxima (hot spots) in the two-dimensional sky map of the cosmic microwave background (CMB) anisotropy. According to the Gaussian random statistics, as most inflationary scenarios predict, the hot spots are discretely distributed, with some characteristic angular separations on the last scattering surface that are due to oscillations of the CMB angular power spectrum. The weak lensing then causes pairs of hot spots, which are separated with the characteristic scale, to be observed with various separations. We found that the lensing fairly smooths out the oscillatory features of the two-point correlation function of hot spots. This indicates that the hot spot correlations can be a new statistical tool for measuring the shape and normalization of the power spectrum of matter fluctuations from the lensing signatures.
KW - Cosmic microwave background
KW - Cosmology: Theory
KW - Gravitational lensing
KW - Large-scale structure of universe
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U2 - 10.1086/312624
DO - 10.1086/312624
M3 - Article
AN - SCOPUS:0034689801
VL - 533
SP - L83-L87
JO - Astrophysical Journal Letters
JF - Astrophysical Journal Letters
SN - 2041-8205
IS - 2
ER -