论文标题
具有快速估计器和窗口卷积建模的投影张量场3D功率谱的分析方法：固有对齐的应用
Analysis method for 3D power spectrum of projected tensor field with fast estimator and window convolution modelling: an application to intrinsic alignments
论文作者
论文摘要
大规模结构的等级-2张量场，例如从星系的形状推断出一个张量场，打开一个窗口，直接访问2尺度，2矢量和2汤匙模式，在该模式下，可以独立于通过星系分布追踪的标准密度场来独立测量标量场。在这里，我们在三维张量场的功率光谱时估计了一个垂直于视线方向的平面的投影。为此，我们发现可以通过使用相关的Legendre多项式以形式获得功率谱多物的方便表示，该形式允许在本地平面偏移（LPP）近似下进行快速的傅立叶变换估计。该公式还使我们能够获得Hankel变换，以在傅立叶和配置空间中连接两点统计，这是可以得出功率谱的理论模板所需的，包括调查窗口的卷积。为了验证我们的估计量，我们使用模拟类似Boss的调查足迹的调查窗口，使用预计潮汐场的仿真数据。我们表明，LPP估计器相当很好地恢复了从全局平面并行近似中推断出的多极矩。我们发现，调查窗口在$ k \ lyssim 0.1 \，h {\ rm mpc}^{ - 1} $中，从输入功率谱从$ k \ lyssim 0.1 \，h {\ rm mpc}^$ the the tensor量谱的多极变化更为显着变化。然而，我们计算理论模板（包括调查窗口效应）的方法成功地再现了从模拟测得的窗volvolved的多极矩。这里提供的分析方法为宇宙学分析铺平了道路，该方法使用大规模结构的三维张量式示踪剂用于当前和将来的调查。
Rank-2 tensor fields of large-scale structure, e.g. a tensor field inferred from shapes of galaxies, open up a window to directly access 2-scalar, 2-vector and 2-tensor modes, where the scalar fields can be measured independently from the standard density field that is traced by distribution of galaxies. Here we develop an estimator of the multipole moments of power spectra for the three-dimensional tensor field, taking into account the projection onto plane perpendicular to the line-of-sight direction. To do this, we find that a convenient representation of the power spectrum multipoles can be obtained by the use of the associated Legendre polynomials in the form which allows for the fast Fourier transform estimations under the local plane-parallel (LPP) approximation. The formulation also allows us to obtain the Hankel transforms to connect the two-point statistics in Fourier and configuration space, which are needed to derive theoretical templates of the power spectrum including convolution of a survey window. To validate our estimators, we use the simulation data of the projected tidal field assuming a survey window that mimics the BOSS-like survey footprint. We show that the LPP estimators fairly well recover the multipole moments that are inferred from the global plane-parallel approximation. We find that the survey window causes a more significant change in the multipole moments of projected tensor power spectrum at $k\lesssim 0.1\,h{\rm Mpc}^{-1}$ from the input power spectrum, than in the density power spectrum. Nevertheless, our method to compute the theory template including the survey window effects successfully reproduces the window-convolved multipole moments measured from the simulations. The analysis method presented here paves the way for a cosmological analysis using three-dimensional tensor-type tracers of large-scale structure for current and future surveys.
