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The Effective Field Theory of Large-Scale Structure and Multi-tracer II: redshift space and realistic tracers
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abstract
We extend the multi-tracer (MT) formalism of the effective field theory of large-scale structure to redshift space, comparing the results of MT to a single-tracer analysis when extracting cosmological parameters from simulations. We used a sub-halo abundance matching method to obtain more realistic multi-tracer galaxy catalogs constructed from N-body simulations. Considering different values for the sample shot noise and volume, we show that the MT error bars on $A_s$, $\omega_{\rm cdm}$, and $h$ in a full-shape analysis are approximately $50\%$ smaller relative to ST. We find that cosmological and bias coefficients from MT are less degenerate, indicating that the MT parameter basis is more orthogonal. We conclude that using MT combined with perturbation theory is a robust and competitive way to accommodate the information present in the mildly non-linear scales.
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Perturbative Likelihoods for Large-Scale Structure of the Universe
A perturbative derivation shows that the large-scale structure likelihood is automatically expressed in terms of the tree-level power spectrum, tree-level bispectrum, and the (2,2) one-loop power spectrum correction.
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