The matter power spectrum in redshift space using effective field theory
The matter power spectrum in redshift space using effective field theory
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DOI：
10.1088/1475-7516/2017/11/039
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发表时间：
2017-04
影响因子：
6.4
通讯作者：
L. D. L. Bella-L.-D.-L.-Bella-120849959;D. Regan;D. Seery;S. Hotchkiss
中科院分区：
文献类型：
--
作者：
L. D. L. Bella-L.-D.-L.-Bella-120849959;D. Regan;D. Seery;S. Hotchkiss
传统上，用欧拉的“标准微扰理论”来描述早期宇宙的质量组装，只限于z=0时k = 0.1 h/Mpc的模式。在较大的k的SPT功率谱偏离使用N体模拟的测量。最近，有进展，扩大范围的微扰理论，以更大的k借用的想法从有效场论。在这个框架内，我们重新计算红移空间物质功率谱，包括第一次完整的单圈时间依赖性。我们使用一个remation计划提出的Vlah等人。占阻尼重子声振荡由于大规模的随机运动，并表明，这对多极功率谱有显着的影响。我们通过与MultiDark MDR 1宇宙学相匹配的一套自定义N体模拟进行比较来重新规范化。在z=0和k = 0.4 h/Mpc的情况下，我们发现EFT对实空间功率谱的描述最高可达102%，对z = 0模式最高可达105%，对z = 2，4模式最高可达1025%。我们认为，在MDR 1宇宙学中，正性的ε =0模式给出了一个坚定的上限k <$0.74 h/Mpc的有效性的单圈EFT预测在红移空间中只使用最低阶反项。我们表明，取代单圈的增长因子，其Einstein-de Sitter对应的是一个很好的近似的模式，但可以诱导偏差高达2%的模式，为2，4。随附的软件包在开源许可下分发，包括描述计算的Mathematica笔记本，以及能够计算必要的单圈SPT积分和有效场论反项的并行管道。
The use of Eulerian 'standard perturbation theory' to describe mass assembly in the early universe has traditionally been limited to modes with k ≲ 0.1 h/Mpc at z=0. At larger k the SPT power spectrum deviates from measurements made using N-body simulations. Recently, there has been progress in extending the reach of perturbation theory to larger k using ideas borrowed from effective field theory. We revisit the computation of the redshift-space matter power spectrum within this framework, including for the first time the full one-loop time dependence. We use a resummation scheme proposed by Vlah et al. to account for damping of baryonic acoustic oscillations due to large-scale random motions and show that this has a significant effect on the multipole power spectra. We renormalize by comparison to a suite of custom N-body simulations matching the MultiDark MDR1 cosmology. At z=0 and for scales k ≲ 0.4 h/Mpc we find that the EFT furnishes a description of the real-space power spectrum up to ∼ 2%, for the ℓ = 0 mode up to ∼ 5%, and for the ℓ = 2, 4 modes up to ∼ 25%. We argue that, in the MDR1 cosmology, positivity of the ℓ=0 mode gives a firm upper limit of k ≈ 0.74 h/Mpc for the validity of the one-loop EFT prediction in redshift space using only the lowest-order counterterm. We show that replacing the one-loop growth factors by their Einstein-de Sitter counterparts is a good approximation for the ℓ=0 mode, but can induce deviations as large as 2% for the ℓ=2, 4 modes. An accompanying software bundle, distributed under open source licenses, includes Mathematica notebooks describing the calculation, together with parallel pipelines capable of computing both the necessary one-loop SPT integrals and the effective field theory counterterms.