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Non-Gaussianity from Step Features in the Inflationary Potential

机译:通货膨胀潜力中步长特征的非高斯性

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摘要

We provide analytic solutions for the power spectrum and bispectrum ofcurvature fluctuations produced by a step feature in the inflaton potential,valid in the limit that the step is short and sharp. In this limit, thebispectrum is strongly scale dependent and its effective non-linearity attainsa large oscillatory amplitude. The perturbations to the curvature powerspectrum, on the other hand, remain a small component on top of the usualspectrum of fluctuations generated by slow roll. We utilize our analyticsolutions to assess the observability of the predicted non-Gaussian signaturesand show that, if present, only very sharp steps on scales larger than ~ 2 Gpcare likely to be able to be detected by Planck. Such features are not onlyconsistent with WMAP7 data, but can also improve its likelihood by 2 Delta ln L~ 12 for two extra parameters, the step location and height. If thisimprovement were due to a slow roll violating step as considered here, abispectrum or corresponding polarization power spectrum detection would providedefinitive checks as to its primordial origin.
机译:我们提供了针对因胀气电位阶跃特征而产生的功率谱和曲率波动的双谱的解析解,在阶跃短而尖锐的极限内有效。在此极限下,双谱强烈依赖于标度,并且其有效非线性具有较大的振荡幅度。另一方面,对曲率功率谱的扰动在缓慢滚动产生的波动的通常谱之上仍然是很小的一部分。我们利用我们的分析解决方案评估了预测的非高斯特征的可观察性,并表明,如果存在的话,普朗克可能仅能检测到大于2 Gpcare的非常尖锐的台阶。这样的特征不仅与WMAP7数据一致,而且还可以针对两个额外参数(阶跃位置和高度)将其似然性提高2 Delta ln L〜12。如果此改进是由于此处考虑的慢速滚动违反步骤引起的,则双光谱或相应的极化功率谱检测将提供对其原始起源的明确检查。

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