Title: Confronting the primordial black hole scenario with the gravitational-wave events detected by LIGO-Virgo Show Chinese title

Title: 与LIGO-Virgo探测到的引力波事件相对照的原初黑洞情景

Abstract: Adopting a binned method, we model-independently reconstruct the mass function of primordial black holes (PBHs) from GWTC-2 and find that such a PBH mass function can be explained by a broad red-tilted power spectrum of curvature perturbations. Even though GW190521 with component masses in upper mass gap $(m>65M_\odot)$ can be naturally interpreted in the PBH scenario, the events (including GW190814, GW190425, GW200105, and GW200115) with component masses in the light mass range $(m<3M_\odot)$ are quite unlikely to be explained by binary PBHs although there are no electromagnetic counterparts because the corresponding PBH merger rates are much smaller than those given by LIGO-Virgo. Furthermore, we predict that both the gravitational-wave (GW) background generated by the binary PBHs and the scalar-induced GWs accompanying the formation of PBHs should be detected by the ground-based and space-borne GW detectors and pulsar timing arrays in the future. Show Chinese abstract

Abstract: 采用分箱方法，我们独立于模型重建了原初黑洞（PBHs）的质量函数，并发现这种PBH质量函数可以用曲率扰动的广谱红倾斜功率谱来解释。 尽管GW190521其组分质量位于上质量间隙$(m>65M_\odot)$可以在PBH情景中自然解释，但那些组分质量位于轻质量范围$(m<3M_\odot)$的事件（包括GW190814、GW190425、GW200105和GW200115）却很难由双星PBH来解释，尽管没有电磁对应体，因为相应的PBH并合率远小于LIGO-Virgo给出的数值。 此外，我们预测由双星PBH产生的引力波背景以及伴随PBH形成产生的标量诱导引力波，未来应能被地面和空间引力波探测器以及脉冲星计时阵列所探测到。