Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational wave quasinormal mode from Population III massive black
  hole binaries in various models of population synthesis   Focusing on the remnant black holes after merging binary black holes, we show
that ringdown gravitational waves of Population III binary black holes mergers
can be detected with the rate of $5.9-500~{\rm events~yr^{-1}}~({\rm SFR_p}/
(10^{-2.5}~M_\odot~{\rm yr^{-1}~Mpc^{-3}})) \cdot ({\rm [f_b/(1+f_b)]/0.33})$
for various parameters and functions. This rate is estimated for the events
with SNR$>8$ for the second generation gravitational wave detectors such as
KAGRA. Here, ${\rm SFR_p}$ and ${\rm f_b}$ are the peak value of the Population
III star formation rate and the fraction of binaries, respectively. When we
consider only the events with SNR$>35$, the event rate becomes $0.046-4.21~{\rm
events~yr^{-1}}~({\rm SFR_p}/ (10^{-2.5}~M_\odot~{\rm yr^{-1}~Mpc^{-3}})) \cdot
({\rm [f_b/(1+f_b)]/0.33})$. This suggest that for remnant black hole's spin
$q_f>0.95$ we have the event rate with SNR$>35$ less than $0.037~{\rm
events~yr^{-1}}~({\rm SFR_p}/ (10^{-2.5}~M_\odot~{\rm yr^{-1}~Mpc^{-3}})) \cdot
({\rm [f_b/(1+f_b)]/0.33})$, while it is $3-30~{\rm events~yr^{-1}}~({\rm
SFR_p}/ (10^{-2.5}~M_\odot~{\rm yr^{-1}~Mpc^{-3}})) \cdot ({\rm
[f_b/(1+f_b)]/0.33})$ for the third generation detectors such as Einstein
Telescope. If we detect many Population III binary black holes merger, it may
be possible to constrain the Population III binary evolution paths not only by
the mass distribution but also by the spin distribution.

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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol