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arXiv 2403.13484astro-ph.COcond-mat.stat-mechgr-qchep-phhep-th
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来自随机单场暴胀有效场论NNNLO阶的原初黑洞

Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO

Sayantan Choudhury, Ahaskar Karde, Pankaj Padiyar, M. Sami

AI总结:

本研究在模型无关单场框架下开展随机暴胀的EFT推广研究,通过随机-$δN$形式将分布函数的微扰分析推进至NNNLO阶,分析了漂移区非高斯性修正与扩散区带指数尾的概率分布,为PBH形成研究提供了更精确的理论结果。

摘要:

我们研究了模型无关的单场框架下随机暴胀的有效场论(EFT)推广,及其对原初黑洞(PBH)形成的影响。我们展示了准德西特背景中“软”模的朗之万方程如何由标量扰动的红外(IR)贡献描述,以及驱动随机持续时间${\cal N}$概率分布的后续福克-普朗克方程,在当前EFT图景中发生了显著修正。我们通过应用随机-$δN$形式,对分布函数进行了显式微扰分析,在经典漂移主导和量子扩散主导两种区域下均计算至次次次领头阶(NNNLO)。在漂移主导极限下,我们微扰分析了带有EFT诱导修正的局域非高斯性参数$(f_{\rm NL}, g_{\rm NL}, τ_{\rm NL})$。在扩散主导极限下,我们数值计算了在微扰处理的每一阶都具有指数尾的概率分布。

英文摘要:

We present a study of the Effective Field Theory (EFT) generalization of stochastic inflation in a model-independent single-field framework and its impact on primordial black hole (PBH) formation. We show how the Langevin equations for the "soft" modes in quasi de Sitter background is described by the Infra-Red (IR) contributions of scalar perturbations, and the subsequent Fokker-Planck equation driving the probability distribution for the stochastic duration ${\cal N}$, significantly modify in the present EFT picture. An explicit perturbative analysis of the distribution function by implementing the stochastic-$δN$ formalism is performed up to the next-to-next-to-next-to-leading order (NNNLO) for both the classical-drift and quantum-diffusion dominated regimes. In the drift-dominated limit, we perturbatively analyse the local non-Gaussianity parameters $(f_{\rm NL}, g_{\rm NL}, τ_{\rm NL})$ with the EFT-induced modifications. In the diffusion-dominated limit, we numerically compute the probability distribution featuring exponential tails at each order of perturbative treatment.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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