{"paper":{"title":"The Redshift-Space Galaxy Power Spectrum at Two-Loop Order","arxiv_id":"2610.13867","primary_cat":"astro-ph.CO","submitted_at":"2026-10-09T17:15:53+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Contemporary large-scale structure analyses center around the galaxy power spectrum, modeled with one-loop perturbation theory.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.17,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.57,"id":"s1","own":false,"role":"background","text":"This description naturally breaks down at large wavenumbers, prohibiting the extraction of cosmological information from small-scale clustering.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.07,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.41,"method":0.0,"result":0.0,"background":0.57,"limitation":0.02,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":1.0,"id":"s2","own":true,"role":"contribution","text":"In this work, we present a complete model for the redshift-space galaxy power spectrum up to two-loop order, derived in the framework of the Effective Field Theory of Large Scale Structure.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.32,"quantitative":false,"quantitative_p":0.41,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":1.0,"interpretation":0.0}},{"i":3,"p":0.56,"id":"s3","own":true,"role":"contribution","text":"This accounts for a wide variety of effects, including fifth-order galaxy bias, redshift-space distortions, small-scale non-linearities, spatial non-locality, long-wavelength bulk flows, coordinate distortions, and stochasticity, involving a total of 49 free coefficients.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.12,"quantitative":true,"quantitative_p":0.98,"role_probabilities":{"gap":0.0,"method":0.44,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.56,"interpretation":0.0}},{"i":4,"p":0.97,"id":"s4","own":true,"role":"contribution","text":"Our model additionally encodes all deterministic contributions to the one-loop bispectrum and trispectrum (as well as the tree-level quadspectrum and pentaspectrum), which depend on many of the same parameters.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.97,"interpretation":0.0}},{"i":5,"p":0.99,"id":"s5","own":true,"role":"method","text":"We implement the model numerically, using the \\textsc{vegas} algorithm to precompute the loop integrals; this allows the full likelihood to be evaluated in milliseconds.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.86,"role_probabilities":{"gap":0.0,"method":0.99,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":6,"p":0.88,"id":"s6","own":true,"role":"method","text":"The approach is validated using power spectra measured from high-resolution simulations, considering both dark matter and realistic galaxy samples.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.88,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.1,"interpretation":0.0}},{"i":7,"p":1.0,"id":"s7","own":true,"role":"result","text":"The extension to two-loop order greatly increases the range of scales over which the power spectrum can be modeled, with $k_{\\rm max}$ rising from $0.2h\\,\\mathrm{Mpc}^{-1}$ to $0.34h\\,\\mathrm{Mpc}^{-1}$ for a luminous red galaxy sample at $z=0.5$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.3,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":8,"p":0.8,"id":"s8","own":true,"role":"interpretation","text":"Much of the additional information is absorbed by the numerous fifth-order biases and counterterms; for this reason, constraints on $\\sigma_8$ are not significantly enhanced by the inclusion of two-loop terms.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.88,"main_claim_p":0.27,"quantitative":false,"quantitative_p":0.25,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.12,"background":0.0,"limitation":0.08,"future_work":0.0,"contribution":0.0,"interpretation":0.8}},{"i":9,"p":1.0,"id":"s9","own":false,"role":"future_work","text":"Future work will assess the full implications of the two-loop model for cosmological parameter inference, both alone and in combination with higher-order statistics.","hedge":{"p":0.56,"label":"unclear"},"own_p":0.07,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":1.0,"contribution":0.0,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.46,"text":"Much of the additional information is absorbed by the numerous fifth-order biases and counterterms; 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