CMB power spectrum parameter degeneracies in the era of precision cosmology

Abstract

Cosmological parameter constraints from the CMB power spectra alone suffer several well-known degeneracies. These degeneracies can be broken by numerical artefacts and also a variety of physical effects that become quantitatively important with high-accuracy data e.g. from the Planck satellite. We study degeneracies in models with flat and non-flat spatial sections, non-trivial dark energy and massive neutrinos, and investigate the importance of various physical degeneracy-breaking effects. We test the CAMB power spectrum code for numerical accuracy, and demonstrate that the numerical calculations are accurate enough for degeneracies to be broken mainly by true physical effects (the integrated Sachs-Wolfe effect, CMB lensing and geometrical and other effects through recombination) rather than numerical artefacts. We quantify the impact of CMB lensing on the power spectra, which inevitably provides degeneracy-breaking information even without using information in the non-Gaussianity. Finally we check the numerical accuracy of sample-based parameter constraints using CAMB and CosmoMC. In an appendix we document recent changes to CAMB's numerical treatment of massive neutrino perturbations, which are tested along with other recent improvements by our degeneracy exploration results.

arXiv comment27 pages, 28 figures. Latest CAMB version available from http://camb.info/. Reduced number of figures, plot legend corrected and minor edits to match published version

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• Selected Topics in Numerical Methods for Cosmology
• Cosmology in warped massive gravity
• Cosmological constraints on sterile neutrino Dark Matter production mechanisms
• Detectability of Galactic Faraday Rotation in Multi-wavelength CMB Observations: A Cross-Correlation Analysis of CMB and Radio Maps
• Unveiling the evolution of the CO excitation ladder through cross-correlation of CONCERTO-like experiments and galaxy redshift surveys
• No preference for generalized emergent dark energy from current cosmological data
• ABCMB: A Python+JAX Package for the Cosmic Microwave Background Power Spectrum
• Improving Photometric Galaxy Clustering Constraints With Cross-Bin Correlations
• Categorizing models using Self-Organizing Maps: an application to modified gravity theories probed by cosmic shear
• Resolving the Hubble Tension in the Early Dark Energy Framework with JWST and DESI Data
• Non-Gaussian likelihood of weak lensing power spectra
• Constraints on the Modified Emergent Dark Energy Model Using DESI DR2 BAO
• Conditional variational autoencoders for cosmological model discrimination and anomaly detection in cosmic microwave background power spectra
• Testing the Anton-Schmidt dark energy model with the DESI DR2 measurements
• Inflationary study of non-Gaussianity using two-dimensional geometrical measures of CMB temperature maps
• Revisiting observational constraints on coupled exponential quintessence with energy and momentum transfers: degeneracy with massive neutrinos
• Generalized Boltzmann hierarchy for massive neutrinos in cosmology
• The Cosmic Rush Hour: Rapid Formation of Bright, Massive, Disky, Star-Forming Galaxies as Signatures of Early-Universe Physics