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

Authors :
Alkhanishvili, Davit
Porciani, Cristiano
Sefusatti, Emiliano
Biagetti, Matteo
Lazanu, Andrei
Oddo, Andrea
Yankelevich, Victoria
Source :
Monthly Notices of the Royal Astronomical Society. Jun2022, Vol. 512 Issue 4, p4961-4981. 21p.
Publication Year :
2022

Abstract

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 χ2 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 realizations. 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00358711
Volume :
512
Issue :
4
Database :
Academic Search Index
Journal :
Monthly Notices of the Royal Astronomical Society
Publication Type :
Academic Journal
Accession number :
156714131
Full Text :
https://doi.org/10.1093/mnras/stac567