F_Nl Local Non-gaus

In ΛCDM with single-field slow-roll inflation, the primordial curvature perturbations are expected to be extremely close to Gaussian, implying that the local-type non-Gaussianity parameter f_NL should be very small, of order unity or less, with a specific relation between the bispectrum shape and the power spectrum (Maldacena 2003; Bartolo et al. 2004). Large-scale structure and CMB analyses, however, keep finding hints, systematics-limited constraints, or mildly discrepant measurements of scale-dependent bias and bispectra that at times prefer non-zero local f_NL or exhibit behavior not cleanly captured by the simplest inflationary predictions, creating a persistent tension over whether there is genuinely detectable local-type primordial non-Gaussianity beyond the minimal ΛCDM expectation (Slosar et al. 2008; Dalal et al. 2008).

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