CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation

Smidt J, Amblard A, Byrnes C, Cooray A, Heavens A, Munshi D (2010)
Physical Review D 81(12).

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We outline the expected constraints on non-Gaussianity from the cosmic microwave background with current and future experiments, focusing on both the third (f(NL)) and fourth-order (g(NL) and tau(NL)) amplitudes of the local configuration or non-Gaussianity. The experimental focus is the skewness (two-to-one) and kurtosis (two-to-two and three-to-one) power spectra from weighted maps. In addition to a measurement of tau(NL) and g(NL) with WMAP 5-year data, our study provides the first forecasts for future constraints on g(NL). We describe how these statistics can be corrected for the mask and cut-sky through a window function, bypassing the need to compute linear terms that were introduced for the previous-generation non-Gaussianity statistics, such as the skewness estimator. We discus the ratio A(NL) = tau(NL)/(6f(NL)/5)(2) as an additional test of single-field inflationary models and discuss the physical significance of each statistic. Using these estimators with WMAP 5-Year V + W-band data out to l(max) = 600 we constrain the cubic order non-Gaussianity parameters tau(NL), and g(NL) and find -7.4 < g(NL)/10(5) < 8.2 and -0.6 < tau(NL)/10(4) < 3.3 improving the previous COBE-based limit on tau(NL) < 10(8) nearly 4 orders of magnitude with WMAP.
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Smidt J, Amblard A, Byrnes C, Cooray A, Heavens A, Munshi D. CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation. Physical Review D. 2010;81(12).
Smidt, J., Amblard, A., Byrnes, C., Cooray, A., Heavens, A., & Munshi, D. (2010). CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation. Physical Review D, 81(12).
Smidt, J., Amblard, A., Byrnes, C., Cooray, A., Heavens, A., and Munshi, D. (2010). CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation. Physical Review D 81.
Smidt, J., et al., 2010. CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation. Physical Review D, 81(12).
J. Smidt, et al., “CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation”, Physical Review D, vol. 81, 2010.
Smidt, J., Amblard, A., Byrnes, C., Cooray, A., Heavens, A., Munshi, D.: CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation. Physical Review D. 81, (2010).
Smidt, Joseph, Amblard, Alexandre, Byrnes, Christian, Cooray, Asantha, Heavens, Alan, and Munshi, Dipak. “CMB contraints on primordial non-Gaussianity from the bispectrum (f(NL)) and trispectrum (g(NL) and tau(NL)) and a new consistency test of single-field inflation”. Physical Review D 81.12 (2010).
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