Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2010-03-10
Phys.Rev.D82:103505,2010
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
13 pages. Accepted for publication in PRD
Scientific paper
10.1103/PhysRevD.82.103505
We present a complete set of formulae for calculating the bispectra of CMB temperature and polarization anisotropies generated from non-Gaussianity in the vector and tensor mode perturbations. In the all-sky analysis it is found that the bispectrum formulae for the tensor and vector-mode non-Gaussianity formally take complicated forms compared to the scalar mode one because the photon transfer functions in the tensor and vector modes depend on the azimuthal angle between the direction of the wave number vector of the photon's perturbation and that of the line of sight. We demonstrate that flat-sky approximations remove this difficulty because this kind of azimuthal angle dependence apparently vanishes in the flat-sky limit. Through the flat-sky analysis, we also find that the vector or tensor bispectrum of $B$-mode polarization vanishes in the squeezed limit, unless the cosmological parity is violated at the nonlinear level.
Ichiki Kiyotomo
Nitta Daisuke
Shiraishi Maresuke
Takahashi Keitaro
Yokoyama Shuichiro
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