The (not so) squeezed limit of the primordial 3-point function
(2011) Journal of Cosmology and Astroparticle Physics — Vol. 2011, n° 11, p. 38 (2011)
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- Abstract
- We prove that, in a generic single-field model, the consistency relation for the 3-point function in the squeezed limit receives corrections that vanish quadratically in the ratio of the momenta, i.e. as (k L/k S) 2. This implies that a detection of a bispectrum signal going as 1/k L 2 in the squeezed limit, that is suppressed only by one power of k L compared with the local shape, would rule out all single-field models. The absence of this kind of terms in the bispectrum holds also for multifield models, but only if all the fields have a mass much smaller than H. The detection of any scale dependence of the bias, for scales much larger than the size of the haloes, would disprove all single-field models. We comment on the regime of squeezing that can be probed by realistic surveys. © 2011 IOP Publishing Ltd and SISSA.
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Creminelli, P., D’Amico, G., Musso, M., & Noreña, J. (2011). The (not so) squeezed limit of the primordial 3-point function. Journal of Cosmology and Astroparticle Physics, 2011(11), 38. https://doi.org/10.1088/1475-7516/2011/11/038 (Original work published 2011)