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arXiv · 2609.09272

From quantum fluctuations to galaxy power spectrum multipoles

Nhat-Minh Nguyen
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Abstract

These notes trace large-scale structure from primordial curvature perturbations generated by inflationary quantum fluctuations to galaxy power-spectrum multipoles. Three core lectures develop the linear matter power spectrum, spherical and anisotropic collapse, galaxy bias, redshift-space distortions, the Kaiser model, and multipole estimators with Gaussian covariance. The extension develops nonlinear bias and the one-loop effective field theory model used in full-shape analyses. Derivations are explicit; appendices collect longer calculations and solutions. The core lectures assume undergraduate-level cosmology; the extension assumes familiarity with perturbation theory.

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Nhat-Minh Nguyen. 2026-09-08. From quantum fluctuations to galaxy power spectrum multipoles. https://arxiv.org/abs/2609.09272

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