Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Peak statistics for the primordial black hole abundance   The primordial black hole (PBH) abundance evaluated by the conventional
Press-Schechter (PS) probability distribution is shown to be equivalent to the
high-peak limit of a special point-like peak statistics via unphysical
dimensionality reduction of the Bardeen-Bond-Kaiser-Szalay (BBKS) theory. The
fact that PBHs are formed at high peak values $\nu_c \gg 1$ leads to a
systematic bias proportional to $\nu_c^3$ between the predictions of the PS
method and the physical BBKS peak theory in a general three-dimensional spatial
configuration. As long as realistic PBHs are collapsed from three-dimensional
density peaks in space, the systematic bias led by $\nu_c^3$ implies a
significant underestimation of the PBH abundance reported by the PS method. For
the inflationary spectrum in the narrow-spike class, the underestimation in the
extended mass functions is further enlarged by at least a factor of $10^{2.5}$
in all mass range, indicating a severer constraint to models in the favor of
considering PBHs as all dark matter in a certain mass range.

8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ