Primordial black holes from narrow peaks and the skew-lognormal distribution. (arXiv:2009.03204v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Gow_A/0/1/0/all/0/1">Andrew D. Gow</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Byrnes_C/0/1/0/all/0/1">Christian T. Byrnes</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Hall_A/0/1/0/all/0/1">Alex Hall</a>
We examine the shape of the primordial black hole mass distribution arising
from a peak in the primordial power spectrum. We show that, for sufficiently
narrow peaks, the true mass distribution deviates significantly from lognormal,
the most commonly assumed form of the mass distribution. The lognormal
approximation is outperformed by a number of similar distributions which can
generate negative skewness in log-mass. We highlight the skew-lognormal as the
best of these possible modifications and suggest it be used instead of the
lognormal with sufficiently accurate data, such as future LIGO-Virgo
observations.
We examine the shape of the primordial black hole mass distribution arising
from a peak in the primordial power spectrum. We show that, for sufficiently
narrow peaks, the true mass distribution deviates significantly from lognormal,
the most commonly assumed form of the mass distribution. The lognormal
approximation is outperformed by a number of similar distributions which can
generate negative skewness in log-mass. We highlight the skew-lognormal as the
best of these possible modifications and suggest it be used instead of the
lognormal with sufficiently accurate data, such as future LIGO-Virgo
observations.
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