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arXiv 2008.03289astro-ph.COgr-qc
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小尺度上的功率谱:鲁棒约束和比较PBH方法

The power spectrum on small scales: Robust constraints and comparing PBH methodologies

Andrew D. Gow, Christian T. Byrnes, Philippa S. Cole, Sam Young

摘要:

我们比较原始黑洞(PBH)的功率谱和质量分布的约束,使用传统的Press Schechter形式主义,峰值理论,和最近开发的版本的峰值理论有关PBH。我们表明,提供PBH形成的标准和功率谱平滑处理一致,约束只有$\sim$ 10\%的方法之间的变化(差异,将变得越来越重要,更好的数据)。我们的强大的限制PBH考虑到临界崩溃的影响,$ζ$和$δ$之间的非线性关系,并从PBH质量的功率谱峰尺度的移位。我们表明,这些约束是非常相似的脉冲星定时阵列(PTA)的约束影响黑洞质量的LIGO和处女座探测器,但$μ$失真约束排除超大质量黑洞(SMBH)的形成,甚至可能更轻的质量范围的$\sim$(1-100)$\mathrm{M}_\odot$,LIGO/处女座探测器。

英文摘要:

We compare primordial black hole (PBH) constraints on the power spectrum and mass distributions using the traditional Press Schechter formalism, peaks theory, and a recently developed version of peaks theory relevant to PBHs. We show that, provided the PBH formation criteria and the power spectrum smoothing are treated consistently, the constraints only vary by $\sim$10\% between methods (a difference that will become increasingly important with better data). Our robust constraints from PBHs take into account the effects of critical collapse, the non-linear relation between $ζ$ and $δ$, and the shift from the PBH mass to the power spectrum peak scale. We show that these constraints are remarkably similar to the pulsar timing array (PTA) constraints impacting the black hole masses detected by the LIGO and Virgo, but that the $μ$-distortion constraints rule out supermassive black hole (SMBH) formation and potentially even the much lighter mass range of $\sim$(1-100) $\mathrm{M}_\odot$ that LIGO/Virgo probes.

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