Gravitational lensing effect on the two-point correlation of hot spots in the cosmic microwave background

Masahiro Takada, Eiichiro Komatsu, Toshifumi Futamase

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)L83-L87
JournalAstrophysical Journal Letters
Issue number2
Publication statusPublished - 2000 Apr 20


  • Cosmic microwave background
  • Cosmology: Theory
  • Gravitational lensing
  • Large-scale structure of universe

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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