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.
Bispectrum BAO and the baryon-dark matter relative velocity
Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB)(宇宙科学研究所,巴塞罗那大学);Departament de Física Quàntica i Astrofísica, Universitat de Barcelona(量子物理与天体物理学系,巴塞罗那大学);Institut d’Estudis Espacials de Catalunya (IEEC)(加泰罗尼亚空间研究学院);Institució Catalana de Recerca i Estudis Avançats (ICREA)(加泰罗尼亚高级研究学院)
Searching for primordial features with radio surveys: synergy between the power spectrum and bispectrum
Dipartimento di Fisica e Scienze della Terra, Università degli Studi di Ferrara(费拉拉大学地球与物理科学系);INFN, Sezione di Ferrara(意大利国家核物理研究所费拉拉分部);Department of Physics & Astronomy, University of the Western Cape(西开普大学物理与天文学系);Van Swinderen Institute, University of Groningen(格罗宁根大学范斯温德伦研究所);INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna(博洛尼亚天文物理与空间科学观测站(意大利国家天体物理研究所));National Institute for Theoretical and Computational Sciences(理论与计算科学国家研究所)
Toward Precision Kinetic Sunyaev-Zel'dovich Cosmology---1. The Matter - Momentum Bispectrum at One-Loop Order
Massachusetts Institute of Technology(麻省理工学院);MIT Kavli Institute for Astrophysics and Space Research(麻省理工学院卡弗里天体物理与空间研究所);Center for Theoretical Physics – a Leinweber Institute, Massachusetts Institute of Technology(麻省理工学院莱因韦伯理论物理中心)
The Bispectrum of Intrinsic Alignments: II. Precision Comparison Against Dark Matter Simulations
Utrecht University(乌得勒支大学);Max-Planck-Institut für Astrophysik(马克斯·普朗克天体物理学研究所);The University of Tokyo(东京大学);Universität Bonn(波恩大学);Leiden University(莱顿大学);Ruđer Bošković Institute(鲁德博什科维奇研究所);University of Cambridge(剑桥大学)
Galaxy bias renormalization: Two-loop Power Spectrum, One-loop Trispectrum and Bispectrum
Institute for Theoretical Physics, Utrecht University(乌得勒支大学理论物理研究所);Physik Department T31, School of Natural Sciences, Technische Universität München(慕尼黑工业大学自然科学院物理系T31);University Observatory, Faculty of Physics, Ludwig-Maximilians-Universität(路德维希-马克西米利安大学物理学院天文台);Kavli Institute for Cosmology Cambridge(剑桥卡弗里宇宙学研究所);Centre for Theoretical Cosmology, Department of Applied Mathematics and Theoretical Physics University of Cambridge(剑桥大学应用数学与理论物理系理论宇宙学中心);Division of Theoretical Physics, Ruđer Bos̆ković Institute(鲁杰尔·博什科维奇研究所理论物理部)