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arXiv 1701.01701astro-ph.CO
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拉格朗日晕偏差的相容关系及其意义

Consistency relations for the Lagrangian halo bias and their implications

Kwan Chuen Chan, Ravi K. Sheth, Roman Scoccimarro

摘要:

原晕斑块的形式晕定义的拉格朗日暗物质密度场施加的一些限制。这些限制因素中的每一个都有助于使原晕相对于物质的空间分布产生偏差。我们展示了如何测量这种空间分布-线性组合的原晕偏置因素-可以用来作出推论的物理晕形成。我们的分析利用了这样一个事实,即晕偏置因子满足编码这种物理学的一致性关系,这些关系是相同的,即使是子群体中的组装偏差发挥了作用。我们说明了我们的方法使用的模型中,三个参数的问题:密度阈值,局部斜率和平滑密度场的曲率。后两个几乎退化,我们的方法自然允许建立一个准确有效的双参数模型的一致性关系仍然适用。这,与平滑窗口的准确描述,允许一个描述的原晕物质互相关非常好,无论是在傅立叶和配置空间。然后,我们使用我们的大尺度偏差参数的确定与一致性关系,估计封闭的密度和平均斜率的拉格朗日半径尺度的原晕。这些量的直接测量,在较小的规模上比那些偏置参数通常测量,是在良好的协议。

英文摘要:

The protohalo patches from which halos form are defined by a number of constraints imposed on the Lagrangian dark matter density field. Each of these constraints contributes to biasing the spatial distribution of the protohalos relative to the matter. We show how measurements of this spatial distribution -- linear combinations of protohalo bias factors -- can be used to make inferences about the physics of halo formation. Our analysis exploits the fact that halo bias factors satisfy consistency relations which encode this physics, and that these relations are the same even for sub-populations in which assembly bias has played a role. We illustrate our methods using a model in which three parameters matter: a density threshold, the local slope and the curvature of the smoothed density field. The latter two are nearly degenerate; our approach naturally allows one to build an accurate effective two-parameter model for which the consistency relations still apply. This, with an accurate description of the smoothing window, allows one to describe the protohalo-matter cross-correlation very well, both in Fourier and configuration space. We then use our determination of the large scale bias parameters together with the consistency relations, to estimate the enclosed density and mean slope on the Lagrangian radius scale of the protohalos. Direct measurements of these quantities, made on smaller scales than those on which the bias parameters are typically measured, are in good agreement.

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