超慢滚暴涨中的非微扰非高斯性与标量诱导引力波
Ultra-slow-roll Inflation with Non-perturbative Non-Gaussianity and Scalar Induced Gravitational Waves
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中文总结 AI 辅助
本文研究超慢滚暴涨产生原初黑洞并构成暗物质的场景,通过δN分析发现O(1)非高斯性可显著增强黑洞丰度,同时降低引力波信号,但信号仍可被LISA探测。
中文摘要 AI 辅助
暴涨过程中的超慢滚阶段可能产生适当丰度的原初黑洞(PBH),使其构成全部暗物质(DM)。我们考虑了这种情景,通过使用一种能够描述从CMB尺度退出视界时刻直到暴涨结束的暴胀子势参数化,仔细处理从慢滚到超慢滚暴涨及其返回的过渡。δN分析表明,该模型可以具有O(1)的非高斯性。在计算原初黑洞丰度时,我们保留了曲率扰动与密度对比之间的完整非线性关系,并考虑了所有阶的非高斯性。我们发现,O(1)的非高斯性足以将PBH丰度提高数个数量级,从而在固定PBH丰度下导致引力波(GW)信号减弱。我们计算了未来引力波观测站的信噪比。我们发现,尽管信号强度减弱,但如果PBH构成暗物质的重要组分,GW信号仍远高于LISA的灵敏度。
英文摘要
An ultra-slow-roll phase during inflation could potentially produce the right abundance of primordial black holes (PBHs) for them to form all of dark matter (DM). We consider such a scenario, carefully treating the transitions from slow to ultra slow roll inflation and back, using a parametrisation of the inflaton potential that can describe inflation from the time when CMB scales crossed out of the horizon until its end. A $δN$ analysis shows that this model can possess $O(1)$ non-Gaussianity. When computing the primordial black hole abundance, we keep the full non-linear relation between curvature perturbations and the density contrast and consider the non-Gaussianity to all orders. We find that $O(1)$ non-Gaussianity is sufficient to enhance the PBH abundance by orders of magnitude, leading to reduced gravitational wave (GW) signals for fixed PBH abundance. The signal to noise ratio is computed for future gravitational wave observatories. We find that, in spite of the reduced strength, the GW signal is well above the sensitivity of LISA if PBHs form a significant component of DM.
发表机构
- Universität Bonn(波恩大学)
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