MPTbreeze: A fast renormalized perturbative scheme

TL;DR

This paper introduces MPTbreeze, a fast and accurate perturbative scheme for modeling the nonlinear matter power spectrum using multi-point propagators, validated against simulations and suitable for quick evaluations at BAO scales.

Contribution

It presents a simplified, resummation-based approach to compute the nonlinear matter power spectrum efficiently, including new measurements of propagators from simulations.

Findings

Nonlinear power spectrum can be predicted within 2% accuracy at BAO scales.

The method requires only seconds to evaluate at relevant scales.

Validated with extensive simulations across different cosmologies.

Abstract

We put forward and test a simple description of multi-point propagators (MP), which serve as building-blocks to calculate the nonlinear matter power spectrum. On large scales these propagators reduce to the well-known kernels in standard perturbation theory, while at smaller scales they are suppresed due to nonlinear couplings. Through extensive testing with numerical simulations we find that this decay is characterized by the same damping scale for both two and three-point propagators. In turn this transition can be well modeled with resummation results that exponentiate one-loop computations. For the first time, we measure the four components of the non-linear (two-point) propagator using dedicated simulations started from two independent random Gaussian fields for positions and velocities, verifying in detail the fundamentals of propagator resummation. We use these results to develop an implementation of the MP-expansion for the nonlinear power spectrum that only requires seconds to evaluate at BAO scales. To test it we construct six suites of large numerical simulations with different cosmologies. From these and LasDamas runs we show that the nonlinear power spectrum can be described at the ~ 2% level at BAO scales for redshifts in the range [0-2.5]. We make a public release of the MPTbreeze code with the hope that it can be useful to the community.