2015
DOI: 10.1088/1475-7516/2015/10/018
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The squeezed limit of the bispectrum in multi-field inflation

Abstract: Abstract. We calculate the squeezed limit of the bispectrum produced by inflation with multiple light fields. To achieve this we allow for different horizon exit times for each mode and calculate the intrinsic field-space three-point function in the squeezed limit using softlimit techniques. We then use the δN formalism from the time the last mode exits the horizon to calculate the bispectrum of the primordial curvature perturbation. We apply our results to calculate the spectral index of the halo bias, n δb ,… Show more

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Cited by 24 publications
(43 citation statements)
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“…where the first line again matches the standard result [45,46]. In contrast, note that this standard result cannot be obtained within the usual classical δN formalism because of the intrinsic non-Gaussianity of the field at Hubble exit [45,47].…”
Section: Introductionsupporting
confidence: 79%
“…where the first line again matches the standard result [45,46]. In contrast, note that this standard result cannot be obtained within the usual classical δN formalism because of the intrinsic non-Gaussianity of the field at Hubble exit [45,47].…”
Section: Introductionsupporting
confidence: 79%
“…Note that this expression is essentially a (covariantised) version of the standard δ N expression for f NL [38], which there corresponds to a quasi-local configuration for the bispectrum (close, but not identical, to the local one -cf. the discussion in [39]). Taking (49) and noting that one can write N ,A = UU ,A /(U ,B U ,B ) [23], after some algebra we then find that f local NL can in fact succinctly be expressed as…”
Section: Observables and Single Field Dynamicsmentioning
confidence: 92%
“…However, since we are primarily interested in local non-Gaussianity which is confirmed on super-horizon scales, we skip over this term. Whilst f (4) N L is momentum independent parameter and accounts for the super-horizon contribution (one can refer to [45,46] for more discussions).…”
Section: Local Non-gaussianity Using δN Formalismmentioning
confidence: 99%