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• W4313332395 abstract "We show how consistency relations can be used to robustly extract the amplitude of local primordial non-Gaussianity ($f_{rm NL}$) from the squeezed limit of the matter bispectrum, well into the non-linear regime. First, we derive a non-perturbative relation between primordial non-Gaussianity and the leading term in the squeezed bispectrum, revising some results present in the literature. This relation is then used to successfully measure $f_{rm NL}$ from $N$-body simulations. We discuss the dependence of our results on different scale cuts and redshifts. Specifically, the analysis is strongly dependent on the choice of the smallest soft momentum, $q_{rm min}$, which is the most sensitive to primordial bispectrum contributions, but is largely independent of the choice of the largest hard momentum, $k_{rm max}$, due to the non-Gaussian nature of the covariance. We also show how the constraints on $f_{rm NL}$ improve at higher redshift, due to a reduced off-diagonal covariance. In particular, for a simulation with $f_{rm NL} = 100$ and a volume of $(2.4 text{ Gpc}/h)^3$, we measure $f_{rm NL} = 98 pm 12$ at redshift $z=0$ and $f_{rm NL} = 97 pm 8$ at $z=0.97$. Finally, we compare our results with a Fisher forecast, showing that the current version of the analysis is satisfactorily close to the Fisher error. We regard this as a first step towards the realistic application of consistency relations to constrain primordial non-Gaussianity using observations." @default.
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• W4313332395 date "2022-12-29" @default.
• W4313332395 modified "2023-10-15" @default.
• W4313332395 title "Squeezing <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>NL</mml:mi></mml:mrow></mml:msub></mml:math> out of the matter bispectrum with consistency relations" @default.
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• W4313332395 doi "https://doi.org/10.1103/physrevd.106.123525" @default.
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