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arXiv 2202.00700astro-ph.COhep-ph
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由宇宙符合引起的引力波

Induced gravitational waves from the cosmic coincidence

Shyam Balaji, Joseph Silk, Yi-Peng Wu

摘要:

增强的原初标量扰动诱导的引力波(GW)背景是暴胀形成原初黑洞(PBH)的最有希望的观测结果之一。我们研究了一般超慢滚(USR)框架下单场暴胀引起的GW谱$Ω_{\textrm{IGW}}$,将峰值频带限制在$10^{-3}$ - $1$ Hz内,并使PBH丰度饱和,以包含超轻小行星质量窗口中的所有暗物质(DM)。通过引用由USR暴胀驱动的成功的重子生成,我们验证了目前观测到的重子和PBH DM之间的比密度比的可行参数空间,即所谓的“宇宙符合”。“我们表明,宇宙符合要求将高频极限的光谱指数$n_{\rm UV}$,$Ω_{\textrm{IGW}}(f\gg 1)\propto f^{-2n_{\rm UV}}$,限制在$0 < n_{\rm UV} < 1$中,这意味着在$10^{-16}$ - $10^{-12} M_\odot$质量范围内由USR膨胀引发的PBH重子生成可以通过即将到来的高级LIGO和Virgo数据以及下一代实验,如LISA,爱因斯坦望远镜,天琴和DECIGO进行测试。

英文摘要:

The induced gravitational wave (GW) background from enhanced primordial scalar perturbations is one of the most promising observational consequences of primordial black hole (PBH) formation from inflation. We investigate the induced GW spectrum $Ω_{\textrm{IGW}}$ from single-field inflation in the general ultra-slow-roll (USR) framework, restricting the peak frequency band to be inside $10^{-3}$-$1$ Hz and saturating PBH abundance to comprise all dark matter (DM) in the ultralight asteroid-mass window. By invoking successful baryogenesis driven by USR inflation, we verify the viable parameter space for the specific density ratio between baryons and PBH DM observed today, the so-called "cosmic coincidence." We show that the cosmic coincidence requirement bounds the spectral index $n_{\rm UV}$ in the high frequency limit, $Ω_{\textrm{IGW}}(f\gg 1)\propto f^{-2n_{\rm UV}}$, into $0 < n_{\rm UV} < 1$, which implies that baryogenesis triggered by USR inflation for PBHs in the mass range of $10^{-16}$-$10^{-12} M_\odot$ can be tested by upcoming Advanced LIGO and Virgo data and next generation experiments such as LISA, Einstein Telescope, TianQin and DECIGO.

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