论文标题

在大规模结构的有效田间理论中,一环双光谱的精确校准

Precise Calibration of the One-Loop Bispectrum in the Effective Field Theory of Large Scale Structure

论文作者

Steele, Theodore, Baldauf, Tobias

论文摘要

双光谱是大规模结构(LSS)聚类中领先的非高斯统计量,并编码基础领域中的相互作用。因此,它是原始非高斯性和高阶星系偏置的重要诊断。在本文中,我们介绍了对LSS的有效领域理论的详细测试和校准。我们超越了以前的研究,用于采用基于实现的扰动理论,从而大大降低了宇宙差异误差线。这可以在两循环校正变得相关之前,在$ k <0.09 h \ mathrm {mpc}^{ - 1} $ at $ z = 0 $之前,可以在大尺度上测量低能常数。我们还超越了以前使用双光谱传播术语(即与线性和二阶字段的相关器)的工作,以孤立地量化两个新的反对物,并与功率谱违反术语建立一致性。 By investigating the fully non-linear bispectrum, $B_{\mathrm{nnn}}$, as well as the terms $B_{\mathrm{n}11}$ and $B_{\mathrm{n}21}$, we find evidence for the new counterterms deviating from the shape suggested by the UV-limit of the relevant bispectrum贡献。我们还表明,对于树级双光谱的时间依赖性,常用的Einstein-De保姆近似不足以精确研究单环双光谱,并且有必要使用$λ$ CDM的生长因子以获得有意义的一环计数器约束。最后,我们还发现了$ n $ body模拟中时间整合不准确的增长因素的小偏差证据。

The bispectrum is the leading non-Gaussian statistic in Large-Scale Structure (LSS) clustering and encodes the interactions in the underlying field. It is thus an important diagnostic for primordial non-Gaussianity and higher order galaxy biasing. In this paper we present a detailed test and calibration of the matter bispectrum counterterms in the Effective Field Theory of LSS against a suite of $N$-body simulations. We are going beyond previous studies in employing realisation based perturbation theory that allows for a significant reduction in cosmic variance error bars. This enables the measurement of the low-energy constants on large scales before two-loop corrections become relevant, around $k<0.09 h\mathrm{Mpc}^{-1}$ at $z=0$. We also go beyond previous work in using bispectrum propagator terms, i.e. correlators with linear and second order fields, to quantify the two new counterterms in isolation and to establish consistency with the power spectrum counterterm. By investigating the fully non-linear bispectrum, $B_{\mathrm{nnn}}$, as well as the terms $B_{\mathrm{n}11}$ and $B_{\mathrm{n}21}$, we find evidence for the new counterterms deviating from the shape suggested by the UV-limit of the relevant bispectrum contributions. We also show that the commonly used Einstein-de Sitter approximation for the time dependence of the tree-level bispectrum is insufficient for precise studies of the one-loop bispectrum and that it is necessary to use $Λ$CDM growth factors in order to obtain meaningful one-loop counterterm constraints. Finally, we also find evidence for small deviations in the growth factors that arise from time integration inaccuracies in the $N$-body simulations.

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