论文标题
Bispectrum-Window通过Hankel Transform卷积
Bispectrum-window convolution via Hankel transform
论文作者
论文摘要
我们提出了一种通过调查窗口功能在红移空间中对双光谱多尔斯进行模型预测的确切卷积的方法。我们利用2D-fftlog算法将广泛应用的方法扩展到Biseptrum。作为其准确性的初步测试，我们考虑了实际空间中球形窗口功能的玩具模型。该设置提供了对窗口的3点函数的分析评估，因此允许隔离和量化该方法的系统错误。我们发现，与一组非常大的模拟晕目目录的测量值相比，我们根据混合矩阵的实施显示了百分比水平的差异。它还能够在对一组数值模拟的可能性分析中恢复对光晕偏差参数的公正约束，总体积为$ 100 \，h^{ - 3} \，{\ rm gpc}^3 $。对于这些测试所需的精度级别，在一秒钟或更少的时间内执行使用混合矩阵的乘法。
We present a method to perform the exact convolution of the model prediction for bispectrum multipoles in redshift space with the survey window function. We extend a widely applied method for the power spectrum convolution to the bispectrum, taking advantage of a 2D-FFTlog algorithm. As a preliminary test of its accuracy, we consider the toy model of a spherical window function in real space. This setup provides an analytical evaluation of the 3-point function of the window, and therefore it allows to isolate and quantify possible systematic errors of the method. We find that our implementation of the convolution in terms of a mixing matrix shows differences at the percent level in comparison to the measurements from a very large set of mock halo catalogs. It is also able to recover unbiased constraints on halo bias parameters in a likelihood analysis of a set of numerical simulations with a total volume of $100\, h^{-3} \, {\rm Gpc}^3$. For the level of accuracy required by these tests, the multiplication with the mixing matrix is performed in the time of one second or less.
