{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/direct-cosmological-inference-from-three","title":"Direct cosmological inference from three-dimensional correlations of the Lyman-$α$ forest","arxiv_id":"2209.11263","date":"2022-09-22","proceeding":null,"authors":["Francesca Gerardi","Andrei Cuceu","Andreu Font-Ribera","Benjamin Joachimi","Pablo Lemos"],"abstract":"When performing cosmological inference, standard analyses of the Lyman-$\\alpha$ (Ly$\\alpha$) three-dimensional correlation functions only consider the information carried by the distinct peak produced by baryon acoustic oscillations (BAO). In this work, we address whether this compression is sufficient to capture all the relevant cosmological information carried by these functions. We do this by performing a direct fit to the full shape, including all physical scales without compression, of synthetic Ly$\\alpha$ auto-correlation functions and cross-correlations with quasars at effective redshift $z_{\\rm{eff}}=2.3$, assuming a DESI-like survey, and providing a comparison to the classic method applied to the same dataset. Our approach leads to a $3.5\\%$ constraint on the matter density $\\Omega_{\\rm{M}}$, which is about three to four times better than what BAO alone can probe. The growth term $f \\sigma_{8} (z_{\\rm{eff}})$ is constrained to the $10\\%$ level, and the spectral index $n_{\\rm{s}}$ to $\\sim 3-4\\%$. We demonstrate that the extra information resulting from our `direct fit' approach, except for the $n_{\\rm{s}}$ constraint, can be traced back to the Alcock-Paczy\\'nski effect and redshift space distortion information.","url_abs":"https://arxiv.org/abs/2209.11263v2","url_pdf":"https://arxiv.org/pdf/2209.11263v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"direct-cosmological-inference-from-three","repo_url":"https://github.com/frgerardi/lya_directfit","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}