Effective neutrino masses in KATRIN and future tritium beta-decay experiments

Abstract

Past and current direct neutrino mass experiments set limits on the so-called effective neutrino mass, which is an incoherent sum of neutrino masses and lepton mixing matrix elements. The electron energy spectrum which neglects the relativistic and nuclear recoil effects is often assumed. Alternative definitions of effective masses exist, and an exact relativistic spectrum is calculable. We quantitatively compare the validity of those different approximations as function of energy resolution and exposure in view of tritium beta decays in the KATRIN, Project 8 and PTOLEMY experiments. Furthermore, adopting the Bayesian approach, we present the posterior distributions of the effective neutrino mass by including current experimental information from neutrino oscillations, beta decay, neutrinoless double-beta decay and cosmological observations. Both linear and logarithmic priors for the smallest neutrino mass are assumed.

arXiv comment31 pages, 8 figures, matched with the published version in PRD

References in corpus (40)

• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• Bayes in the sky: Bayesian inference and model selection in cosmology
• Importance Nested Sampling and the MultiNest Algorithm
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Final Results from phase II of the Mainz Neutrino Mass Search in Tritium $\beta$ Decay
• Neutrinoless Double-Beta Decay: Status and Prospects
• Phase space factors for double-$\beta$ decay
• An improved upper limit on the neutrino mass from a direct kinematic method by KATRIN
• Search for Majorana neutrinos with the first two years of EXO-200 data
• An upper limit on electron antineutrino mass from Troitsk experiment
• Flavor structures of charged fermions and massive neutrinos
• Neutrino mass limit from tritium beta decay
• First Results from CUORE: A Search for Lepton Number Violation via $0\nu \beta \beta$ Decay of ${}^{130}$Te
• Background free search for neutrinoless double beta decay with GERDA Phase II
• Do solar neutrinos decay?
• Neutrino physics with the PTOLEMY project: active neutrino properties and the light sterile case
• HOLMES - The Electron Capture Decay of 163Ho to Measure the Electron Neutrino Mass with sub-eV sensitivity
• Determining the neutrino mass with Cyclotron Radiation Emission Spectroscopy - Project 8
• Discovery probability of next-generation neutrinoless double-$\beta$ decay experiments
• Detecting non-relativistic cosmic neutrinos by capture on tritium: phenomenology and physics potential
• Neutrino Mass Spectrum and Future Beta Decay Experiments
• Development of a Relic Neutrino Detection Experiment at PTOLEMY: Princeton Tritium Observatory for Light, Early-Universe, Massive-Neutrino Yield
• A Global Bayesian Analysis of Neutrino Mass Data
• Assessment of molecular effects on neutrino mass measurements from tritium beta decay
• On the Effective Mass of the Electron Neutrino in Beta Decay
• Non-Oscillation Searches of Neutrino Mass in the Age of Oscillations
• Exact relativistic beta decay endpoint spectrum
• Effective Majorana Mass and Neutrinoless Double Beta Decay
• First operation of the KATRIN experiment with tritium
• Direct Neutrino Mass Experiments and Exotic Charged Current Interactions
• Exact relativistic tritium beta-decay endpoint spectrum in a hadron model
• Impact of an eV-mass sterile neutrino on the neutrinoless double-beta decays: a Bayesian analysis
• Half-life Expectations for Neutrinoless Double Beta Decay in Standard and Non-Standard Scenarios
• Status of neutrino properties and future prospects - Cosmological and astrophysical constraints
• A Comment on the Measurement of Neutrino Masses in Beta-Decay Experiments
• Empirical inference on the Majorana mass of the ordinary neutrinos
• Probability Densities of the effective neutrino masses $m_{\beta }$ and $m_{\beta \beta }$
• Parametrization of the Energy Spectrum in the Tritium Beta Decay

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