Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Robustness of the Acoustic Scale in the Low-Redshift Clustering
  of Matter   We discuss the effects of non-linear structure formation on the signature of
acoustic oscillations in the late-time galaxy distribution. We argue that the
dominant non-linear effect is the differential motion of pairs of tracers
separated by 150 Mpc. These motions are driven by bulk flows and cluster
formation and are much smaller than the acoustic scale itself. We present a
model for the non-linear evolution based on the distribution of pairwise
Lagrangian displacements that provides a quantitative model for the degradation
of the acoustic signature, even for biased tracers in redshift space. The
Lagrangian displacement distribution can be calibrated with a significantly
smaller set of simulations than would be needed to construct a precise power
spectrum. By connecting the acoustic signature in the Fourier basis with that
in the configuration basis, we show that the acoustic signature is more robust
than the usual Fourier-space intuition would suggest because the beat frequency
between the peaks and troughs of the acoustic oscillations is a very small
wavenumber that is well inside the linear regime. We argue that any possible
shift of the acoustic scale is related to infall on 150 Mpc scale, which is
O(0.5%) fractionally at first-order even at z=0. For the matter, there is a
first-order cancellation such that the mean shift is O(10^{-4}). However,
galaxy bias can circumvent this cancellation and produce a sub-percent
systematic bias.

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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs