论文标题
与高斯轴耦合的希格斯通货膨胀产生的原始黑洞
Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
论文作者
论文摘要
原始黑洞（PBH）可以成为当今暗物质密度的全部或一部分的来源。 Inflation provides a mechanism for generating the seeds of PBHs in the presence of a temporal period where the velocity of an inflaton field $ϕ$ rapidly decreases toward 0. We compute the primordial power spectra of curvature perturbations generated during Gauss-Bonnet (GB) corrected Higgs inflation in which the inflaton field has not only a nonminimal coupling to gravity but also a GB耦合。对于在通货膨胀期间表现出快速变化的标量-GB耦合，我们表明曲率扰动通过出现有效的潜在$ v _ {\ rm eff}（ϕ）$的出现充分增强，其中包含高原型，bump型，bump-type及其中间类型的结构。我们发现有参数空间，PBH可以为这三种类型的$ v _ {\ rm eff}（ϕ）$构成所有暗物质。特别是，具有凸起和中间类型的模型产生了原始标量和张量功率谱，这与与宇宙微波背景观察结果相关的量表的最新Planck数据一致。该属性归因于以下事实：$ v _ {\ rm eff} $ v _ {\ rm eff}（ϕ）$在$ v _ {\ rm eff} $的e折中$Δn_c$相比，与高原型相比，$Δn_c$通常超过10个。
Primordial black holes (PBHs) can be the source for all or a part of today's dark matter density. Inflation provides a mechanism for generating the seeds of PBHs in the presence of a temporal period where the velocity of an inflaton field $ϕ$ rapidly decreases toward 0. We compute the primordial power spectra of curvature perturbations generated during Gauss-Bonnet (GB) corrected Higgs inflation in which the inflaton field has not only a nonminimal coupling to gravity but also a GB coupling. For a scalar-GB coupling exhibiting a rapid change during inflation, we show that curvature perturbations are sufficiently enhanced by the appearance of an effective potential $V_{\rm eff}(ϕ)$ containing the structures of plateau-type, bump-type, and their intermediate type. We find that there are parameter spaces in which PBHs can constitute all dark matter for these three types of $V_{\rm eff}(ϕ)$. In particular, models with bump- and intermediate-types give rise to the primordial scalar and tensor power spectra consistent with the recent Planck data on scales relevant to the observations of cosmic microwave background. This property is attributed to the fact that the number of e-foldings $ΔN_c$ acquired around the bump region of $V_{\rm eff}(ϕ)$ can be as small as a few, in contrast to the plateau-type where $ΔN_c$ typically exceeds the order of 10.
