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arXiv 1402.5916astro-ph.COhep-th
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重正化Halo偏倚

Renormalized Halo Bias

Valentin Assassi, Daniel Baumann, Daniel Green, Matias Zaldarriaga

摘要:

本文系统地研究了晕偏置模型中的重整化问题。在McDonald工作的基础上,我们证明了欧拉偏置只有在非局部项和高阶导数贡献被包括在偏置模型中时才与重整化一致。我们明确地确定了完整的列表所需的偏置参数为高斯初始条件下,四阶阶的暗物质密度对比度和领先的阶导数。在二次阶,这意味着包括引力潮汐张量,而在三次阶的速度势出现作为一个独立的自由度。我们的研究自然会导致一个有效的偏置理论,其中的晕密度被写为波动和空间导数的双重扩展。我们表明,偏置扩展可以组织在Galileon运营商,而不是重正化的领导秩序的衍生品。最后,我们讨论了重整化偏置参数如何影响晕的统计。

英文摘要:

This paper provides a systematic study of renormalization in models of halo biasing. Building on work of McDonald, we show that Eulerian biasing is only consistent with renormalization if non-local terms and higher-derivative contributions are included in the biasing model. We explicitly determine the complete list of required bias parameters for Gaussian initial conditions, up to quartic order in the dark matter density contrast and at leading order in derivatives. At quadratic order, this means including the gravitational tidal tensor, while at cubic order the velocity potential appears as an independent degree of freedom. Our study naturally leads to an effective theory of biasing in which the halo density is written as a double expansion in fluctuations and spatial derivatives. We show that the bias expansion can be organized in terms of Galileon operators which aren't renormalized at leading order in derivatives. Finally, we discuss how the renormalized bias parameters impact the statistics of halos.

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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