Cosmology and the neutrino mass ordering

Abstract

We propose a simple method to quantify a possible exclusion of the inverted neutrino mass ordering from cosmological bounds on the sum of the neutrino masses. The method is based on Bayesian inference and allows for a calculation of the posterior odds of normal versus inverted ordering. We apply the method for a specific set of current data from Planck CMB data and large-scale structure surveys, providing an upper bound on the sum of neutrino masses of 0.14 eV at 95% CL. With this analysis we obtain posterior odds for normal versus inverted ordering of about 2:1. If cosmological data is combined with data from oscillation experiments the odds reduce to about 3:2. For an exclusion of the inverted ordering from cosmology at more than 95% CL, an accuracy of better than 0.02 eV is needed for the sum. We demonstrate that such a value could be reached with planned observations of large scale structure by analysing artificial mock data for a EUCLID-like survey.

12 pages, 3 figures, v2: minor improvements, matches version published in JCAP

References in corpus (8)

• A 2.4% Determination of the Local Value of the Hubble Constant
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Reconciling Planck with the local value of $H_0$ in extended parameter space
• On the improvement of cosmological neutrino mass bounds
• Probing the neutrino mass hierarchy with CMB weak lensing
• Detecting neutrino mass difference with cosmology
• Testing for New Physics: Neutrinos and the Primordial Power Spectrum

Cited by in corpus (49)

• Neutrinoless Double-Beta Decay: Status and Prospects
• New physics in light of the $H_0$ tension: an alternative view
• Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy
• Tale of stable interacting dark energy, observational signatures, and the $H_0$ tension
• Constraints on the sum of the neutrino masses in dynamical dark energy models with $w(z)\ge -1$ are tighter than those obtained in $\Lambda$CDM
• Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
• Updated results on neutrino mass and mass hierarchy from cosmology with Planck 2018 likelihoods
• Exploring Cosmic Origins with CORE: Cosmological Parameters
• On the most constraining cosmological neutrino mass bounds
• Updated Bounds on Sum of Neutrino Masses in Various Cosmological Scenarios
• Constraints on Sterile Neutrinos in the MeV to GeV Mass Range
• Scale-dependent galaxy bias, CMB lensing-galaxy cross-correlation, and neutrino masses
• Impact of neutrino properties on the estimation of inflationary parameters from current and future observations
• Neutrino cosmology after DESI: tightest mass upper limits, preference for the normal ordering, and tension with terrestrial observations
• Upper Bound of Neutrino Masses from Combined Cosmological Observations and Particle Physics Experiments
• Bias due to neutrinos must not uncorrect'd go
• Bounds on light sterile neutrino mass and mixing from cosmology and laboratory searches
• Cosmology with the Large Synoptic Survey Telescope: an Overview
• Cosmological Measurements from Angular Power Spectra Analysis of BOSS DR12 Tomography
• Strong Bayesian Evidence for the Normal Neutrino Hierarchy
• Do current cosmological observations rule out all Covariant Galileons?
• The road ahead of Horndeski: cosmology of surviving scalar-tensor theories
• Time-varying neutrino mass from a supercooled phase transition: current cosmological constraints and impact on the ${\Omega }_m$-${\sigma }_8$ plane
• A Lagrangian Perturbation Theory in the presence of massive neutrinos
• Objective Bayesian analysis of neutrino masses and hierarchy
• Efficient Computation of Galaxy Bias with Neutrinos and Other Relics
• Bayesian evidence for the tensor-to-scalar ratio $r$ and neutrino masses $m_{\nu }$: Effects of uniform vs logarithmic priors
• Constraints on the sum of neutrino masses using cosmological data including the latest extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample
• Neutrino Mass Priors for Cosmology from Random Matrices
• Neutrino mass and mass ordering: No conclusive evidence for normal ordering
• Extracting Majorana Properties in the Throat of Neutrinoless Double Beta Decay
• Neutrino Masses and Mass Hierarchy: Evidence for the Normal Hierarchy
• Strong Bounds on Sum of Neutrino Masses in a 12 Parameter Extended Scenario with Non-Phantom Dynamical Dark Energy ($w(z)\ge -1$)
• ${\Lambda }_{\mathrm{s}}$CDM cosmology: Alleviating major cosmological tensions by predicting standard neutrino properties
• Quantifying the tension between cosmological and terrestrial constraints on neutrino masses
• Revisiting the impact of neutrino mass hierarchies on neutrino mass constraints in light of recent DESI data
• Accurately Weighing Neutrinos with Cosmological Surveys
• Probing massive neutrinos with the Minkowski functionals of large-scale structure
• Linking axionlike dark matter to neutrino masses
• Probing the Neutrino Mass Hierarchy beyond $\Lambda$CDM Model
• Impact of an eV-mass sterile neutrino on the neutrinoless double-beta decays: a Bayesian analysis
• Target Neutrino Mass Precision for Determining the Neutrino Hierarchy
• Half-life Expectations for Neutrinoless Double Beta Decay in Standard and Non-Standard Scenarios
• Combined sensitivity of JUNO and KM3NeT/ORCA to the neutrino mass ordering
• Natural Alignment of Quark Flavors and Radiatively Induced Quark Mixings
• Sterile Neutrinos and B-L Symmetry
• Neutrino Parameters from Reactor and Accelerator Neutrino Experiments
• Redshift-space galaxy bispectrum in presence of massive neutrinos: A multipole expansion approach for Euclid
• Cosmological Constraints on Neutrino Masses in a Second-Order CPL Dark Energy Model