Angular trispectrum of CMB temperature anisotropy from primordial non-Gaussianity with the full radiation transfer function
- Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka 560-0043, Japan and Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
We calculate the cosmic microwave background (CMB) angular trispectrum, spherical harmonic transform of the four-point correlation function, from primordial non-Gaussianity in primordial curvature perturbations characterized by a constant nonlinear coupling parameter, f{sub NL}. We fully take into account the effect of the radiation transfer function, and thus provide the most accurate estimate of the signal-to-noise ratio of the angular trispectrum of CMB temperature anisotropy. We find that the predicted signal-to-noise ratio of the trispectrum summed up to a given l is approximately a power-law (S/N)(<l){approx}2.2x10{sup -9}f{sub NL}{sup 2}l{sup 2}, up to the maximum multipole that we have reached in our numerical calculation, l=1200, assuming that the error is dominated by cosmic variance. Our results indicate that the signal-to-noise ratio of the temperature trispectrum exceeds that of the bispectrum at the critical multipole, l{sub c}{approx}1500(50/|f{sub NL}|). Therefore, the trispectrum of the Planck data is more sensitive to primordial non-Gaussianity than the bispectrum for vertical bar f{sub NL} vertical bar > or approx. 50. We also report the predicted constraints on the amplitude of trispectrum, which may be useful for other non-Gaussian models such as curvaton models.
- OSTI ID:
- 20782868
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 8; Other Information: DOI: 10.1103/PhysRevD.73.083007; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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