Two-loop EFT galaxy power spectrum achieves per-mille agreement with simulations to k=0.85 h/Mpc and yields three times narrower unbiased σ8 errors than linear theory.
Cosmological perturbation theory at three-loop order
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abstract
We analyze the dark matter power spectrum at three-loop order in standard perturbation theory of large scale structure. We observe that at late times the loop expansion does not converge even for large scales (small momenta) well within the linear regime, but exhibits properties compatible with an asymptotic series. We propose a technique to restore the convergence in the limit of small momentum, and use it to obtain a perturbative expansion with improved convergence for momenta in the range where baryonic acoustic oscillations are present. Our results are compared with data from N-body simulations at different redshifts, and we find good agreement within this range.
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UNVERDICTED 2representative citing papers
The authors introduce post-collapse Lagrangian perturbation theory (PCPT) that asymptotically captures early post-shell-crossing dynamics in 3D by using high-order LPT until crossing and then 1D pancake results for gravitational backreaction.
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Galaxy Power Spectrum at Two-Loop Order: Implications for Weak Lensing Surveys and New Physics
Two-loop EFT galaxy power spectrum achieves per-mille agreement with simulations to k=0.85 h/Mpc and yields three times narrower unbiased σ8 errors than linear theory.
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Post-collapse Lagrangian perturbation theory in three dimensions
The authors introduce post-collapse Lagrangian perturbation theory (PCPT) that asymptotically captures early post-shell-crossing dynamics in 3D by using high-order LPT until crossing and then 1D pancake results for gravitational backreaction.