Baryon Acoustic Peak and the Squeezed Limit Bispectrum

In the non-relativistic regime, pertinent to the large scale structure of the Universe, the leading effect of a long-wavelength perturbation $δ(λ_L)$ on short distance physics is a uniform acceleration $\propto λ_L δ(λ_L)$. Typically, this has no effect on statistical averages at equal time since a uniform acceleration results in a uniform translation -- a reasoning that has been formalized as a "consistency condition" on the cosmological correlation functions. This naive expectation fails in the presence of the baryon acoustic feature provided $λ_L < \ell_{\rm BAO}$. We derive the squeezed limit of correlation functions in this regime.

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