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Halo Clustering with Non-Local Non-Gaussianity

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arxiv 1008.0638 v3 pith:YU2WRYPS submitted 2010-08-03 astro-ph.CO hep-th

classification astro-ph.COhep-th
keywords non-gaussianitynon-localscalesclusteringeffectmodelmodelspeak-background
verification ladder T0 review T1 audit T2 compute T3 formal
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We show how the peak-background split can be generalized to predict the effect of non-local primordial non-Gaussianity on the clustering of halos. Our approach is applicable to arbitrary primordial bispectra. We show that the scale-dependence of halo clustering predicted in the peak-background split (PBS) agrees with that of the local-biasing model on large scales. On smaller scales, k >~ 0.01 h/Mpc, the predictions diverge, a consequence of the assumption of separation of scales in the peak-background split. Even on large scales, PBS and local biasing do not generally agree on the amplitude of the effect outside of the high-peak limit. The scale dependence of the biasing - the effect that provides strong constraints to the local-model bispectrum - is far weaker for the equilateral and self-ordering-scalar-field models of non-Gaussianity. The bias scale dependence for the orthogonal and folded models is weaker than in the local model (~ 1/k), but likely still strong enough to be constraining. We show that departures from scale-invariance of the primordial power spectrum may lead to order-unity corrections, relative to predictions made assuming scale-invariance - to the non-Gaussian bias in some of these non-local models for non-Gaussianity. An Appendix shows that a non-local model can produce the local-model bispectrum, a mathematical curiosity we uncovered in the course of this investigation.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Primordial Physics in the Nonlinear Universe: Revealing the oscillating halo bias from cosmological collider models

    astro-ph.CO 2026-07 accept novelty 7.0 of 10

    A binning-based IC method yields the first N-body measurements of oscillating halo bias from cosmological collider bispectra, with mass- and assembly-dependent phases fit by peak-background-split theory.

  2. Searching for Folded Primordial Non-Gaussianity with Galaxy Surveys

    astro-ph.CO 2026-07 conditional novelty 7.0 of 10

    The galaxy bispectrum, not the power spectrum, is the main probe of folded primordial non-Gaussianity; narrow folded signals are washed out by Fourier-space binning.

  3. $\texttt{GENGARS}$: Accurate non-Gaussian initial conditions with arbitrary bispectrum for N-body simulations

    astro-ph.CO 2025-08 conditional novelty 6.0 of 10

    GENGARS uses a Schwinger-parameterized reduced bispectrum kernel to generate N-body initial conditions for arbitrary separable PNG shapes, reducing spurious power-spectrum contributions relative to 2LPT-PNG.

  4. Constraining primordial non-Gaussianity and parity-violation through Scalar-Induced Gravitational Waves with next-generation ground-based interferometers

    astro-ph.CO 2026-07 conditional novelty 5.0 of 10

    ET+CE forecast: injected SIGW parameters (A_p, f_peak, f_NL, tau_NL, parity-odd tau_tilde_NL) are recovered within 1-2 sigma despite an astrophysical foreground, but the chiral V-mode is sub-threshold (SNR 0.5-1.9).

  5. Searching for primordial features with radio surveys: synergy between the power spectrum and bispectrum

    astro-ph.CO 2026-06 unverdicted novelty 5.0 of 10

    Joint power spectrum and bispectrum analysis from future HI intensity mapping surveys improves constraints on primordial feature amplitudes by 30-40% and achieves percent-level precision on oscillation frequencies whe...

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