The observed galaxy bispectrum from single-field inflation in the squeezed limit

Understand

Using the consistency relation in Fourier space, we derive the observed galaxy bispectrum from single-field inflation in the squeezed limit, in which one of the three modes has a wavelength much longer than the other two.

• This provides a non-trivial check of the full computation of the bispectrum based on second-order cosmological perturbation theory in this limit.
• We show that gauge modes need to be carefully removed in the second-order cosmological perturbations in order to calculate the observed galaxy bispectrum in the squeezed limit.
• We then give an estimate of the effective non-Gaussianity due to general relativistic lightcone effects that could mimic a primordial non-Gaussian signal.