Primordial non-Gaussianity using CMB Temperature and Polarization Anisotropies.

Details Primordial non-Gaussianity using CMB Temperature and Polarization Anisotropies. Primordial non-Gaussianity using CMB Temperature and Polarization Anisotropies.

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...209.1107y&link_type=abstract

2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #11.07; Bulletin of the American Astronomical Society, V

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We derive an efficient way for measuring the primordial non-Gaussianity using our new tomographic technique. This technique allows us to reconstruct the primordial perturbations using CMB temperature and polarization data. We have demonstrated that the primordial adiabatic perturbations can be reconstructed using CMB temperature and E polarization information. For measuring the primordial non-Gaussianity, we construct a cubic statistic using the reconstructed maps of primordial perturbations, and use that to define our estimator. We also show that our fast estimator is nearly optimal. Our estimator takes only N3/2 operations in comparison to the full bispectrum calculation which takes N5/2 operations. Here N refers to the total number of pixels. For Planck N 108, we obtain 100 simulations in only 10 hours using our fast estimator, while it would take approximately 104 years to compute the full estimator. Hence our analysis is feasible, but the full bispectrum analysis is not. Another advantage of our formalism is that it allows us to be more sensitive to the primordial perturbations, which is important because most current probes of non-Gaussianity do not specifically select for the primordial perturbations

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