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arXiv 1207.6487astro-ph.CO
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利用角度相关性恢复三维聚类信息

Recovering 3D clustering information with angular correlations

Jacobo Asorey, Martin Crocce, Enrique Gaztanaga, Antony Lewis

摘要:

研究了如何利用不同红移仓C_ \ell(z,z ')的角自谱和互谱,从二维层析图像中恢复P(\vec{k},z)的完整三维聚类信息,包括红移空间畸变(RSD)。我们主要研究准线性尺度,其中最小尺度λ_{min}或相应的最大波数k_{max} = 2π/λ_{min}的目标是在k_{max} ={0.05-0.2} h/Mpc之间。对于光谱测量,我们发现当二维层析成像中使用的红移面元宽度Δz与目标最小尺度(即Δz ~ {0.6-0.8} λ min} H(z)/c)相似时,我们可以恢复完整的三维聚类信息,对于z<1,Δz ~ {0.01-0.05}。Δz的这个值是最优的,因为Δz的值越大,信息就越少,而较小的值就违反了我们的最小尺度要求。对于窄波段测光测量,当光Z误差σ_z=0.004时,由于光Z误差小于最佳面元宽度σ_z<Δz,因此得到与光谱测量几乎相同的结果。对于一个典型的宽波段光度测量(σ_z=0.1),σ_z>Δz,大部分的径向信息是内在丢失的。如果我们使用Δz ~ 2σ z,则可以从二维层析图像中恢复剩余的信息。虽然3D和2D分析在这里是等价的,但使用角位置和红移的优点是我们不需要基准宇宙学来转换到3D坐标。这避免了基准模型的假设和边缘化。此外,在2D空间中组合RSD、聚类和弱透镜变得简单。

英文摘要:

We study how to recover the full 3D clustering information of P(\vec{k},z), including redshift space distortions (RSD), from 2D tomography using the angular auto and cross spectra of different redshift bins C_\ell(z,z'). We focus on quasilinear scales where the minimum scale λ_{min} or corresponding maximum wavenumber k_{max}= 2π/λ_{min} is targeted to be between k_{max}={0.05-0.2} h/Mpc. For spectroscopic surveys, we find that we can recover the full 3D clustering information when the redshift bin width Δz used in the 2D tomography is similar to the targeted minimum scale, i.e. Δz ~ {0.6-0.8} λ_{min} H(z)/c which corresponds to Δz ~ 0.01-0.05 for z<1. This value of Δz is optimal in the sense that larger values of Δz lose information, while smaller values violate our minimum scale requirement. For a narrow-band photometric survey, with photo-z error σ_z=0.004, we find almost identical results to the spectroscopic survey because the photo-z error is smaller than the optimal bin width σ_z<Δz. For a typical broad-band photometric survey with σ_z=0.1, we have that σ_z>Δz and most radial information is intrinsically lost. The remaining information can be recovered from the 2D tomography if we use Δz ~ 2σ_z. While 3D and 2D analysis are shown here to be equivalent, the advantage of using angular positions and redshifts is that we do not need a fiducial cosmology to convert to 3D coordinates. This avoids assumptions and marginalization over the fiducial model. In addition, it becomes straight forward to combine RSD, clustering and weak lensing in 2D space.

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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