Constraints on a special running vacuum model

Abstract

We study a special running vacuum model (RVM) with $\Lambda =3\alpha H^2+3\beta H_0^4{H}^{-2}+{\Lambda }_0$, where $\alpha$, $\beta$ and ${\Lambda }_0$ are the model parameters and $H$ is the Hubble one. This RVM has non-analytic background solutions for the energy densities of matter and radiation, which can only be evaluated numerically. From the analysis of the CMB power spectrum and baryon acoustic oscillation along with the prior of $\alpha >0$ to avoid having a negative dark energy density, we find that $\alpha <2.83\times 10^{-4}$ and $\beta =(-0.2_{-4.5}^{+3.9})\times 10^{-4}$ (95$\%$ C.L.). We show that the RVM fits the cosmological data comparably to the $\Lambda$CDM. In addition, we relate the fluctuation amplitude ${\sigma }_8$ to the neutrino mass sum $\Sigma m_{\nu }$.

16 pages, 6 figures, accepted for publication in EPJC

References in corpus (41)

• Dynamics of dark energy
• Efficient Computation of CMB anisotropies in closed FRW models
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• The WiggleZ Dark Energy Survey: Improved Distance Measurements to z = 1 with Reconstruction of the Baryonic Acoustic Feature
• Cosmological constant and vacuum energy: old and new ideas
• On the possible running of the cosmological "constant"
• Cosmologies with Energy Exchange
• First evidence of running cosmic vacuum: challenging the concordance model
• Hubble expansion & Structure Formation in Time Varying Vacuum Models
• Running G and Λat low energies from physics at M_X: possible cosmological and astrophysical implications
• The BAHAMAS project: the CMB--large-scale structure tension and the roles of massive neutrinos and galaxy formation
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• Tension between the power spectrum of density perturbations measured on large and small scales
• Decaying Vacuum Energy and Deflationary Cosmology in Open and Closed Universes
• A New Perspective on Cosmic Coincidence Problems
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: structure growth rate measurement from the anisotropic quasar power spectrum in the redshift range $0.8<z<2.2$
• Hints of dynamical vacuum energy in the expanding Universe
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• Complete Cosmic History with a dynamical Lambda(H) term
• Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution
• Low Redshift Baryon Acoustic Oscillation Measurement from the Reconstructed 6-degree Field Galaxy Survey
• Dynamical dark energy versus $\Lambda =$const. in light of observations
• Density perturbations for running vacuum: a successful approach to structure formation and to the ${\sigma }_8$-tension
• Dark energy perturbations and cosmic coincidence
• Vacuum models with a linear and a quadratic term in H: structure formation and number counts analysis
• Massive fields temper anomaly-induced inflation: the clue to graceful exit?
• Running vacuum in the Universe and the time variation of the fundamental constants of Nature
• Background history and cosmic perturbations for a general system of self-conserved dynamical dark energy and matter
• Vacuum energy and cosmological evolution
• Cosmological singularities and analytical solutions in varying vacuum cosmologies
• Constraints on running vacuum model with $H(z)$ and $f{\sigma }_8$
• Running cosmological constant with observational tests
• Observational constraints on running vacuum model
• Matter density perturbation and power spectrum in running vacuum model
• Production of primordial gravitational waves in a simple class of running vacuum cosmologies

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