Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 448, Issue 3, Pages 2232-2244Publisher
OXFORD UNIV PRESS
DOI: 10.1093/mnras/stv153
Keywords
cosmic background radiation
Categories
Funding
- Science and Technology Facilities Council [ST/L000652/1, ST/I000976/1]
- European Research Council under the European Union [308082]
- STFC
- HEFCE
- SGI
- STFC [ST/L000652/1, ST/J005673/1, ST/K00333X/1, ST/M00418X/1, ST/M007065/1, ST/I000976/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J005673/1, ST/M00418X/1, ST/I000976/1, ST/M007065/1, ST/L000652/1, ST/K00333X/1] Funding Source: researchfish
Ask authors/readers for more resources
The skew-spectrum statistic introduced by Munshi& Heavens has recently been used in studies of non-Gaussianity from diverse cosmological data sets including the detection of primary and secondary non-Gaussianity of cosmic microwave background (CMB) radiation. Extending previous work, focused on independent estimation, here we deal with the question of joint estimation of multiple skew-spectra from the same or correlated data sets. We consider the optimum skew-spectra for various models of primordial non-Gaussianity as well as secondary bispectra that originate from the cross-correlation of secondaries and lensing ofCMB: coupling of lensing with the Integrated Sachs-Wolfe effect, coupling of lensing with thermal Sunyaev-Zeldovich, as well as from unresolved point sources. For joint estimation of various types of non-Gaussianity, we use the principal component analysis (PCA) to construct the linear combinations of amplitudes of various models of non-Gaussianity, e. g. f(NL)(loc), f(NL)(eq),f(NL)(ortho) that can be estimated from CMB maps. We describe how the bias induced in the estimation of primordial non-Gaussianity due to secondary non-Gaussianity may be evaluated for arbitrary primordial models using a PCA analysis. The PCA approach allows one to infer approximate (but generally accurate) constraints using CMB data sets on any reasonably smooth model by use of a look-up table and performing a simple computation. This principle is validated by computing constraints on the Dirac-Born-Infeld bispectrum using a PCA analysis of the standard templates.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available