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引用次数: 0
摘要
结构形成的 Press-Schechter (PS)和 excursion set (ES)模型无法再现模拟中发现的晕偏差,而建立在峰值模型中的 ES-peaks 形式主义只能在高质量下再现晕偏差,并且不能以完全令人满意的方式解决峰值嵌套问题,以及高斯平滑密度场中三轴峰值的椭圆坍缩质量和时间问题。在这里,我们应用峰轨迹汇合系统形式主义,从第一原理上解决了所有这些问题,并且没有自由参数,从而推断出了拉格朗日局部峰偏置参数,这些参数采用了非常简单的解析表达式,类似于 PS 和 ES 模型中的表达式。预测的欧拉线性光晕偏差恢复了模拟结果。更具体地说,我们表明在中低质量下观测到的唯一小偏离可能是由于模拟中使用的球面过密度光晕寻找算法造成的虚假光晕分裂和分组。
Halo Bias in the Peak Model: A First-principles Nonparametric Approach
The Press–Schechter (PS) and excursion set (ES) models of structure formation fail in reproducing the halo bias found in simulations, while the ES-peaks' formalism built in the peak model reproduces it only at high masses and does not address in a fully satisfactory manner peak nesting, and the mass and time of ellipsoidal collapse of triaxial peaks in the Gaussian-smoothed density field. Here, we apply the confluent system of peak trajectories formalism fixing all these issues from first principles and with no free parameters to infer the Lagrangian local peak bias parameters, which adopt very simple analytic expressions similar to those found in the PS and ES models. The predicted Eulerian linear halo bias recovers the results of simulations. More specifically, we show that the only small departure observed at intermediate and low masses can be due to the spurious halo splitting and grouping caused by the spherical overdensity halo-finding algorithm used in simulations.