论文标题
功率谱中峰的原始黑洞质量分布的精确模型
An accurate model for the primordial black hole mass distribution from a peak in the power spectrum
论文作者
论文摘要
我们检查了原始功率谱中峰会引起的原始黑洞质量分布的形状。鉴于对建模的改进，我们重新审视了以下主张：临界崩溃的影响产生的分布，该分布未由通常假定的对数正态描述，这表明该结论仍然有效，尤其是对于质量分布的形状对峰值不敏感的狭窄峰和临界塌陷决定最小宽度的狭窄峰。我们提出了一些替代模型，这些模型可以更好地描述形状，包括狭窄的峰情况，以及峰形状效果显着的更广阔的峰。我们强调了偏斜的态度和广泛的模型，该模型是由临界崩溃的物理学作为最好的选择中最好的。这些模型可以用作与数值计算的质量分布的准确近似值，从而在MCMC分析中有效实现。我们主张使用这两个模型之一，而不是使用足够准确的数据（例如未来的Ligo-Virgo观察），或者在考虑对PBH丰度的巨大依赖约束时。
We examine the shape of the primordial black hole mass distribution arising from a peak in the primordial power spectrum. In light of improvements to the modelling, we revisit the claim that the effects of critical collapse produce a distribution that is not described by the commonly assumed lognormal, showing that this conclusion remains valid, particularly for narrow peaks where the shape of the mass distribution is insensitive to the peak properties and critical collapse determines a minimum width. We propose some alternative models that may better describe the shape, both for the narrow peak case and for much broader peaks where the effect of the peak shape is significant. We highlight the skew-lognormal and a generalised model motivated by the physics of critical collapse as the best of these possible alternatives. These models can be used as an accurate and fast approximation to the numerically calculated mass distribution, allowing for efficient implementation in an MCMC analysis. We advocate the use of one of these two models instead of the lognormal with sufficiently accurate data, such as future LIGO-Virgo observations, or when considering strongly mass dependent constraints on the PBH abundance.
