The Redshift-Space Galaxy Power Spectrum at Two-Loop Order

This project builds and speeds up a computer model of the redshift‑space galaxy power spectrum, using the Effective Field Theory of Large Scale Structure (EFTofLSS) up to two‑loop order. The model includes several tricky physical effects: fifth‑order galaxy bias, redshift‑space distortions, spatial non‑localities, and stochastic noise. All together, it has 49 free parameters. The biggest slowdown comes from the high‑dimensional loop integrals. To fix that, we implement the VEGAS adaptive Monte Carlo integration algorithm. VEGAS lets us compute the full likelihood function in just a few milliseconds, which is fast enough for big data analyses. We check the model’s accuracy by comparing it to simulated dark‑matter data and realistic galaxy‑clustering

measurements. Looking at the jump from one‑loop to two‑loop calculations shows that the extra perturbation theory terms greatly extend the range of spatial scales where we can reliably extract cosmological parameters. Undergraduates who work on this get hands‑on experience with high‑performance numerical integration, statistical parameter estimation, and advanced signal‑processing methods applied to a complex physical system.

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