非高斯晕偏差的再检验：来自峰-背景分裂和保持的质量依赖振幅
Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding
摘要：
最近的N体模拟结果表明，目前的理论模型不能正确预测的幅度的尺度依赖晕偏置诱导的原始非高斯性，模型超越最简单的，本地二次的情况。受这些差异的启发，我们仔细研究了三种理论方法，它们基于（1）阈值区域的统计，（2）基于尺度分离的峰-背景分裂方法，以及（3）使用条件质量函数的峰-背景分裂方法。我们首先证明，阈值区域的统计，这是在领先的顺序等同于一个本地的偏见扩张，不能解释理论和N体模拟之间的质量依赖的偏差。另一方面，在峰背景分裂的两个公式中，我们确定了一个重要的，但以前被忽视的，对强烈依赖于晕质量的非高斯偏置的校正。这个新术语对于任何超越最简单的局部fNL模型的原始非高斯性都是重要的。在另一篇论文中，我们将这些新的理论预测与N体模拟进行了比较，结果表明所有模拟类型的非高斯性都很好。
英文摘要：
Recent results of N-body simulations have shown that current theoretical models are not able to correctly predict the amplitude of the scale-dependent halo bias induced by primordial non-Gaussianity, for models going beyond the simplest, local quadratic case. Motivated by these discrepancies, we carefully examine three theoretical approaches based on (1) the statistics of thresholded regions, (2) a peak-background split method based on separation of scales, and (3) a peak-background split method using the conditional mass function. We first demonstrate that the statistics of thresholded regions, which is shown to be equivalent at leading order to a local bias expansion, cannot explain the mass-dependent deviation between theory and N-body simulations. In the two formulations of the peak-background split on the other hand, we identify an important, but previously overlooked, correction to the non-Gaussian bias that strongly depends on halo mass. This new term is in general significant for any primordial non-Gaussianity going beyond the simplest local fNL model. In a separate paper, we compare these new theoretical predictions with N-body simulations, showing good agreement for all simulated types of non-Gaussianity.
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