论文标题
小尺度上的功率谱：可靠的约束和比较PBH方法
The power spectrum on small scales: Robust constraints and comparing PBH methodologies
论文作者
论文摘要
我们使用传统的Schechter形式主义，峰值理论以及与PBH相关的峰值理论的最近开发的版本，将原始黑洞（PBH）的约束在功率谱和质量分布上进行了比较。我们表明，只要PBH形成标准和功率谱平滑始终如一地处理，则约束仅在方法之间的$ \ sim $ 10 \％差异（通过更好的数据，这种差异将变得越来越重要）。我们从PBHS受到的强大限制考虑了临界崩溃的影响，$ζ$和$δ$之间的非线性关系以及从PBH质量到功率谱峰量表的转变。我们表明，这些约束与脉冲星的计时阵列（PTA）的约束非常相似，影响了Ligo和Ligo和处女座检测到的黑洞质量，但是$ $ $ $ distortial的约束排除了超级质量黑洞（SMBH）的形式，甚至可能更轻的质量范围$ \ sim $ \ sim $ \ od flm \ of \ of fm \ ym（mos mos）m。 LIGO/处女座探针。
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.
