SU(2)${}_{\mathrm{CMB}}$ and the cosmological model: angular power spectra

Abstract

Driven by the CMB temperature-redshift ($T$-$z$) relation as demanded by deconfining SU(2) Yang-Mills thermodynamics, an according cosmological model is proposed and analysed. This model -- SU(2)$_\CMB$ -- exhibits a dark sector, representing $\Lambda$CDM with a certain late-time dark-matter density which transitions to a reduced (present-day) density parameter at high $z$. We statistically analyse constraints on cosmological parameters directly imposed by the values of the standard co-moving ruler $r_d$ and the angular size of the sound horizon ${\theta }_{\ast }$. Compared to the $\Lambda$CDM best fit to 2015 Planck data, we require an increased (present-day) dark matter density when $r_d\cdot H_0=$\,const and a value $H_0\sim 73.5$ km\,s${}^{-1}$Mpc${}^{-1}$ -- typical for local extractions -- are used. The ratio between the density parameters of primordial and late-time dark matter ranges between 0.5 and 0.7. We confirm this trend by fitting the predictions of SU(2)$_\CMB$, obtained from a modified CLASS code, to the angular power spectra TT, TE, and EE. We consider adiabatic, scalar primordial curvature perturbations and distinguish two treatments of thermal quasi-particles in the perturbation equations. Best fits predict a red-tilted primordial power spectrum. Moreover, a low baryon density is obtained compared with the coincidence value of BBN, the $\Lambda$CDM best fit of the 2015 Planck data, and the observed deuterium abundance. Our derived values of $H_0$ support the results of local cosmological observations. Also, there is a tendency for late reionisation.

arXiv comment16 pp, 12 figs

References in corpus (46)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• A 2.4% Determination of the Local Value of the Hubble Constant
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Planck 2013 results. I. Overview of products and scientific results
• The Sixth Data Release of the Sloan Digital Sky Survey
• The First Data Release of the Sloan Digital Sky Survey
• Small Scale Cosmological Perturbations: An Analytic Approach
• Evidence for Reionization at z ~ 6: Detection of a Gunn-Peterson Trough in a z=6.28 Quasar
• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• The trouble with $H_0$
• Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
• New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope: Implications for the Hubble Constant
• The Baryon Census in a Multiphase Intergalactic Medium: 30% of the Baryons May Still Be Missing
• H0LiCOW V. New COSMOGRAIL time delays of HE0435-1223: $H_0$ to 3.8% precision from strong lensing in a flat $\Lambda$CDM model
• Anisotropies in the Cosmic Microwave Background: An Analytic Approach
• Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth
• CMB Anomalies after Planck
• ARCADE 2 Measurement of the Extra-Galactic Sky Temperature at 3-90 GHz
• Observations of the MIssing Baryons in the warm-hot intergalactic medium
• Dark Energy Survey Year 1 Results: A Precise H0 Measurement from DES Y1, BAO, and D/H Data
• Cosmic variance and the measurement of the local Hubble parameter
• Sample variance in the local measurements of the Hubble constant
• Determining $H_0$ with Bayesian hyper-parameters
• Standard rulers, candles, and clocks from the low-redshift Universe
• On the Problem of Predicting Inflationary Perturbations
• The precision of slow-roll predictions for the CMBR anisotropies
• A comprehensive overview of the Cold Spot
• On the local variation of the Hubble constant
• The variance of the locally measured Hubble parameter explained with different estimators
• A model for the very early Universe
• Relic photon temperature versus redshift and the cosmic neutrino background
• SU(2) Yang-Mills Theory: Waves, Particles, and Quantum Thermodynamics
• Exact determination of asymptotic CMB temperature-redshift relation
• Low-frequency line temperatures of the CMB
• SU(2)$_{\tiny\mbox{CMB}}$ at high redshifts and the value of $H_0$
• Agnostic cosmology in the CAMEL framework
• Modification of black-body radiance at low temperatures and frequencies
• SU(2) Yang-Mills thermodynamics: a priori estimate and radiative corrections

Cited by in corpus (7)

• Axial Anomaly in Galaxies and the Dark Universe
• Frequency-redshift relation of the Cosmic Microwave Background
• An SU(2) gauge principle for the Cosmic Microwave Background: Perspectives on the Dark Sector of the Cosmological Model
• Cosmological parameters from Planck data in SU(2)${}_{\mathrm{CMB}}$, their local $\Lambda$CDM values, and the modified photon Boltzmann equation
• Northern Hemisphere UHECR data further supports CMBR photons with weak U(1) component
• SU(2) Quantum Yang-Mills Thermodynamics: Some Theory and Some Applications
• Pressure corrections in decoupling SU(2) Yang-Mills Theory: The case of dihedral diagrams involving both massive and massless modes