The Cosmic Microwave Background Bispectrum as a Test of the Physics of Inflation and Probe of the Astrophysics of the Low-Redshift Universe

Why is non-Gaussianity interesting? One of generic predictions from inflationary scenarios is that primordial fluctuations are exactly Gaussian in linear order; however, the non-linearity in the inflation will produce weak non-Gaussianity. Thus, measuring the non-Gaussianity in the cosmic microwave background radiation anisotropy is a probe of the non-linear physics in the very early universe. Since the angular three point function is zero for the Gaussian field, it is sensitive to the non-Gaussianity. We predict its harmonic transform counterpart, the angular Bispectrum, down to arcminutes angular scales, including the full effect of the radiation transfer function. We find that even the Planck experiment cannot detect the primary bispectrum from the inflation, as long as the single field slow-roll inflation is right. Non-linearities in the low redshift universe also produce the non-Gaussianity. We find that secondary bispectra are detectable by both MAP and Planck experiments. The secondary bispectra probe the non-linear physics of the low-redshift universe. Although this could be a contaminant to the primary signal, MAP and Planck experiments are found to be able to separate the primary from secondary effects well.