%0 Journal Article %1 Smidt2010 %A Smidt, Joseph %A Amblard, Alexandre %A Byrnes, Christian T. %A Cooray, Asantha %A Munshi, Dipak %D 2010 %K cmb inflation non-gaussian %T CMB Constraints on Primordial non-Gaussianity from the Bispectrum and Trispectrum and a Consistency Test of Single-Field Inflation %U http://arxiv.org/abs/1004.1409 %X We outline the expected constraints on non-Gaussianity from the cosmic microwave background (CMB) 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. This 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.

@article{Smidt2010, abstract = { We outline the expected constraints on non-Gaussianity from the cosmic microwave background (CMB) 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. This 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. }, added-at = {2010-04-15T09:19:37.000+0200}, author = {Smidt, Joseph and Amblard, Alexandre and Byrnes, Christian T. and Cooray, Asantha and Munshi, Dipak}, biburl = {https://www.bibsonomy.org/bibtex/2e21851e2adea73410c1a4d1012cef437/jpschaar}, description = {CMB Constraints on Primordial non-Gaussianity from the Bispectrum and Trispectrum and a Consistency Test of Single-Field Inflation}, interhash = {99b2440c2e28c0918b465a7cb579ad35}, intrahash = {e21851e2adea73410c1a4d1012cef437}, keywords = {cmb inflation non-gaussian}, note = {cite arxiv:1004.1409 Comment: 15 pages. 14 figures.}, timestamp = {2010-04-15T09:19:37.000+0200}, title = {CMB Constraints on Primordial non-Gaussianity from the Bispectrum and Trispectrum and a Consistency Test of Single-Field Inflation}, url = {http://arxiv.org/abs/1004.1409}, year = 2010 }