论文标题
探测深色低质量光环和原始黑洞，并具有频率依赖的重力透镜分散。
Probing Dark Low-mass Halos and Primordial Black Holes with Frequency-dependent Gravitational Lensing Dispersions of Gravitational Waves
论文作者
论文摘要
我们探讨了由于重力透镜引起的重力波的振幅和相位波动的可能性，作为小规模物质功率谱的探针。通过利用这种引力透镜分散体的频率依赖性，其源于引力波的传播的波动性质，从而使小尺度物质功率谱的直接测量成为可能。我们首先研究了物质功率谱的小规模行为，以所谓的光环模型方法（包括重子和Subhalos的效果）进行了详细研究。我们发现，在波数$ k \ sim 10^6H {\ rm mpc}^{ - 1} $的物质功率谱是主要取决于质量$ 1H^{ - 1} m_ \ odot \ odot \ odot \ odsim m \ lyssim m \ lyssim 10^4H^4H^4H^rysists $ ands useists $ 1H^{ - 1} - 1} {-1效果。该波数的物质功率谱是通过重力透镜的重力分散体的重力分散体，其频率为$ f \ sim 0.1-1 $ 〜Hz，预测信号为$ \ MATHCAL {O}（O}（10^{ - 3}））$。 We also find that primordial black holes (PBHs) with $M_{\rm PBH} \gtrsim 0.1~M_\odot$ can significantly enhance the matter power spectrum at $k \gtrsim 10^5h{\rm Mpc}^{-1}$ due to both the enhanced halo formation and the shot noise from PBHs.我们发现，在$ f \ sim 10-100 $ 〜Hz处的重力镜头分散剂对PBHS特别敏感，并且可以通过质量和丰度PBH的数量级来增强。
We explore the possibility of using amplitude and phase fluctuations of gravitational waves due to gravitational lensing as a probe of the small-scale matter power spectrum. The direct measurement of the small-scale matter power spectrum is made possible by making use of the frequency dependence of such gravitational lensing dispersions originating from the wave optics nature of the propagation of gravitational waves. We first study the small-scale behavior of the matter power spectrum in detail taking the so-called halo model approach including effects of baryons and subhalos. We find that the matter power spectrum at the wavenumber $k\sim 10^6h{\rm Mpc}^{-1}$ is mainly determined by the abundance of dark low-mass halos with mass $1h^{-1}M_\odot \lesssim M \lesssim 10^4h^{-1}M_\odot$ and is relatively insensitive to baryonic effects. The matter power spectrum at this wavenumber is probed by gravitational lensing dispersions of gravitational waves at frequencies of $f\sim 0.1-1$~Hz with predicted signals of $\mathcal{O}(10^{-3})$. We also find that primordial black holes (PBHs) with $M_{\rm PBH} \gtrsim 0.1~M_\odot$ can significantly enhance the matter power spectrum at $k \gtrsim 10^5h{\rm Mpc}^{-1}$ due to both the enhanced halo formation and the shot noise from PBHs. We find that gravitational lensing dispersions at $f\sim 10-100$~Hz are particularly sensitive to PBHs and can be enhanced by more than an order of magnitude depending on the mass and abundance of PBHs.
