Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: second-order effects

Matsubara, Takahiko; Kuriki, Shinya

doi:10.48550/arxiv.2012.00203

Cited by 2 publications

(2 citation statements)

References 32 publications

(49 reference statements)

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“…Analytical predictions for the MFs are known for Gaussian density fields [62] and weakly non-Gaussian fields [63,64]. They agree with measurements from N-body simulations when the smoothing scale is large enough [65,66]. In this work, we focus on nonlinear scales, and the density field is thus non-Gaussian.…”

Section: Measurement Of Minkowski Functionalssupporting

confidence: 52%

Probing massive neutrinos with the Minkowski functionals of large-scale structure

Liu,

Jiang,

Fang

2022

Preprint

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Massive neutrinos suppress the growth of structure under their free-streaming scales. The effect is most prominent on small scales where the widely-used two-point statistics can no longer capture the full information. In this work, we study the signatures massive neutrinos leave on large-scale structure (LSS) as revealed by its morphological properties, which are fully described by 4 Minkowski functionals (MFs), and quantify the constraints on the summed neutrino mass M ν from the MFs, by using publicly available N-body simulations. We find the MFs provide important complementary information, and give tighter constraints on M ν than the power spectrum. Specifically, depending on whether massive neutrinos are included in the density field (the 'm' field) or not (the 'cb' field), we find the constraint on M ν from the MFs with a smoothing scale of R G = 5h −1 Mpc is 48 or 4 times better than that from the power spectrum. When the MFs are combined with the power spectrum, they can improve the constraint on M ν from the latter by a factor of 63 for the 'm' field and 5 for the 'cb' field. Notably, when the 'm' field is used, the constraint on M ν from the MFs can reach 0.0177eV with a volume of 1(h −1 Gpc) 3 , while the combination of the MFs and power spectrum can tighten this constraint to be 0.0133eV, a 4.5σ significance on detecting the minimum sum of the neutrino masses. For the 'm' field, we also find the σ 8 and M ν degeneracy is broken with the MFs, leading to stronger constraints on all 6 cosmological parameters considered in this work than the power spectrum.

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Section: Measurement Of Minkowski Functionalssupporting

confidence: 52%

Probing massive neutrinos with the Minkowski functionals of large-scale structure

Liu,

Jiang,

Fang

2022

Preprint

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“…Changing integration variables as p = k 1 R, q = k 2 R, r = (k 2 + k 3 )R, µ = p • r/(pr), µ = −q • r/(qr), and expressing µ in terms of s = |q − r|, some of the angular integrations can be analytically calculated (see Ref. [40] for the same type of calculation). The results are…”

Section: Kurtosismentioning

confidence: 99%

Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum

Matsubara¹,

Sasaki²

2022

Preprint

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We perturbatively study the effect of non-Gaussianities on the mass fraction of primordial black holes (PBHs) at the time of formation by systematically taking its effect into account in the one-point probability distribution function of the primordial curvature perturbation. We focus on the bispectrum and trispectrum and derive formulas that describe their effects on the skewness and kurtosis of the distribution function. Then considering the case of narrowly peaked spectra, we obtain simple formulas that concisely express the effect of the bi-and trispectra. In particular, together with the g NL and τ NL parameters of the trispectrum, we find that non-Gaussianity parameters for various types of the bispectrum are linearly combined to give an effective parameter, f eff NL , that determines the PBH mass fraction in the narrow spectral shape limit.

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Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: second-order effects

Cited by 2 publications

References 32 publications

Probing massive neutrinos with the Minkowski functionals of large-scale structure

Probing massive neutrinos with the Minkowski functionals of large-scale structure

Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum

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