Perturbation Theory Remixed: Improved Nonlinearity Modeling beyond Standard Perturbation Theory

Abstract

We present a novel $n$EPT ($n$th-order Eulerian Perturbation Theory) scheme to model the nonlinear density field by the summation up to $n$th-order density fields in perturbation theory. The obtained analytical power spectrum shows excellent agreement with the results from all 20 Dark-Quest suites of $N$-body simulations spreading over a broad range of cosmologies. The agreement is much better than the conventional two-loop Standard Perturbation Theory and would reach out to $k_{\max }\simeq 0.4h/\mathrm{Mpc}$ at $z=3$ for the best-fitting Planck cosmology, without any free parameters. The method can accelerate the forward modeling of the non-linear cosmological density field, an indispensable probe of cosmic mysteries such as inflation, dark energy, and dark matter.

9 pages, 4 figures; to be submitted to PRL

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Cited by in corpus (5)

• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Reconstructing the Long-wavelength Matter Density Fluctuation Modes from the Scalar-Type Clustering Fossils
• Perturbation Theory Remixed II: Improved Modeling of Nonlinear Bispectrum
• On the Connection between Field-Level Inference and $n$-point Correlation Functions
• Testing growth rate dependence in cosmological perturbation theory using scale-free models