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arXiv 2107.08054astro-ph.CO
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物质双谱的次首阶微扰理论研究

The reach of next-to-leading-order perturbation theory for the matter bispectrum

Davit Alkhanishvili, Cristiano Porciani, Emiliano Sefusatti, Matteo Biagetti, Andrei Lazanu, Andrea Oddo, Victoria Yankelevich

摘要:

我们提供了一个比较不同口味的微扰理论在下一个领先的顺序和测量从一个前所未有的大套件的$N$体模拟之间的物质双谱。我们使用$χ^2$拟合优度检验来确定模型的准确度范围,该范围是模拟子集所覆盖的体积的函数。我们发现,模型的基础上的有效场理论(EFT)的方法有最大的范围,标准微扰理论有最短的,和“经典”的mammed计划之间的谎言。然而,从EFT中获得的收益小于以前的研究。我们发现,估计范围的EFT预测的准确性是严重影响的程序,采用适合的幅度的counterterms。对于星系红移巡天探测的体积,我们的研究结果表明,它是有利的,设置三个反项的EFT双谱为零,并从功率谱测量第四。我们还发现,在不同的实现之间的估计范围发生大的波动。我们的结论是,这是很难明确地定义一个范围内的准确度包含自由参数的模型。最后,我们近似地解释了由$N$ -体技术引入的系统效应,无论是在尺度和形状依赖性偏倚方面,还是通过提高测量的统计误差条(如文献中常规所做的那样)。我们发现,后者的方法人为地膨胀的EFT模型的范围内,由于可调参数的存在。

英文摘要:

We provide a comparison between the matter bispectrum derived with different flavours of perturbation theory at next-to-leading order and measurements from an unprecedentedly large suite of $N$-body simulations. We use the $χ^2$ goodness-of-fit test to determine the range of accuracy of the models as a function of the volume covered by subsets of the simulations. We find that models based on the effective-field-theory (EFT) approach have the largest reach, standard perturbation theory has the shortest, and `classical' resummed schemes lie in between. The gain from EFT, however, is less than in previous studies. We show that the estimated range of accuracy of the EFT predictions is heavily influenced by the procedure adopted to fit the amplitude of the counterterms. For the volumes probed by galaxy redshift surveys, our results indicate that it is advantageous to set three counterterms of the EFT bispectrum to zero and measure the fourth from the power spectrum. We also find that large fluctuations in the estimated reach occur between different realisations. We conclude that it is difficult to unequivocally define a range of accuracy for the models containing free parameters. Finally, we approximately account for systematic effects introduced by the $N$-body technique either in terms of a scale- and shape-dependent bias or by boosting the statistical error bars of the measurements (as routinely done in the literature). We find that the latter approach artificially inflates the reach of EFT models due to the presence of tunable parameters.

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