论文标题
用局部型非高斯校正对增强的曲率扰动，以形成原始黑洞
One-loop correction to the enhanced curvature perturbation with local-type non-Gaussianity for the formation of primordial black holes
论文作者
论文摘要
作为有前途的冷藏物（DM）的有前途的候选者，由于在辐射主导的时代增强的曲率扰动产生的过度粘合区域的崩溃，形成了原始黑洞（PBH）。在某些相关的通货膨胀模型中，预计增强的曲率扰动将是非高斯的，因此，对曲率功率谱的高阶环校正可能不可忽略，并且会改变PBH的丰度。在本文中，我们以$ f _ {\ Mathrm {nl}} $和$ g _ {\ Mathrm {nl}} $代表五码和五码和立方体的非gaussian参数的特征来计算以局部型非高斯的曲率校正，其特征是局部类型的非高斯性。 Requiring that the one-loop correction be subdominant, we find a perturbativity condition, namely $|2cAF_{\mathrm{NL}}^2+6AG_{\mathrm{NL}}|\ll 1$, where $c$ is a constant coefficient which can be explicitly calculated in the given model and $A$ denotes the variance of Gaussian增强曲率扰动的一部分以及这种扰动条件可以对PBH形成的相关通货膨胀模型提供严格的约束。
As one of the promising candidates of cold dark matter (DM), primordial black holes (PBHs) were formed due to the collapse of over-densed regions generated by the enhanced curvature perturbations during the radiation-dominated era. The enhanced curvature perturbations are expected to be non-Gaussian in some relevant inflation models and hence the higher-order loop corrections to the curvature power spectrum might be non-negligible as well as altering the abundance of PBHs. In this paper, we calculate the one-loop correction to the curvature power spectrum with local-type non-Gaussianities characterizing by $F_{\mathrm{NL}}$ and $G_{\mathrm{NL}}$ standing for the quadratic and cubic non-Gaussian parameters, respectively. Requiring that the one-loop correction be subdominant, we find a perturbativity condition, namely $|2cAF_{\mathrm{NL}}^2+6AG_{\mathrm{NL}}|\ll 1$, where $c$ is a constant coefficient which can be explicitly calculated in the given model and $A$ denotes the variance of Gaussian part of enhanced curvature perturbation, and such a perturbativity condition can provide a stringent constraint on the relevant inflation models for the formation of PBHs.
