General CMB and Primordial Trispectrum Estimation

Understand

We present trispectrum estimation methods which can be applied to general non-separable primordial and CMB trispectra.

• We present a general optimal estimator for the connected part of the trispectrum, for which we derive a quadratic term to incorporate the effects of inhomogeneous noise and masking.
• We describe a general algorithm for creating simulated maps with given arbitrary (and independent) power spectra, bispectra and trispectra.
• We propose a universal definition of the trispectrum parameter $T_{NL}$, so that the integrated bispectrum on the observational domain can be consistently compared between theoretical models.