Angular trispectrum of CMB temperature anisotropy from primordial non-Gaussianity with the full radiation transfer function

By N. Kogo, E. Komatsu. 2006

152 citations recorded by the source corpus.

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)( 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2b8f956dce3f94c5117823c39d76268c886fbe25

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. P. Meerburg
2. J. Schaar
3. Pier Stefano Corasaniti
4. Xingang Chen
5. Marco Peloso
6. N. Barnaby
7. Eric Linder

In Nuclear and High Energy Physics

1. P. Meerburg
2. J. Schaar
3. Pier Stefano Corasaniti
4. Xingang Chen
5. Marco Peloso
6. N. Barnaby
7. Eric Linder

Citations in the corpus

• FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION (2008, unknown): “The analytical predictions for the Minkowski functionals (Hikage et al. 2006) and the angular trispectrum (the harmonic transform of the angular 4-point correlation function; Okamoto & Hu 2002; Kogo & Komatsu 2006) as a function of f localNL are available now.”
• Signatures of Initial State Modifications on Bispectrum Statistics (2009, background): “In the last few years different suggestions have been made to accomplish a reduction of computational time [33, 39–46].”
• Review of local non-Gaussianity from multi-field inflation (2010, unknown): “may become even tighter [131–135].”