Exact relativistic beta decay endpoint spectrum

Abstract

The exact relativistic form for the beta decay endpoint spectrum is derived and presented in a simple factorized form. We show that our exact formula can be well approximated to yield the endpoint form used in the fit method of the KATRIN collaboration. We also discuss the three neutrino case and how information from neutrino oscillation experiments may be useful in analyzing future beta decay endpoint experiments.

12 pages, 3 figures

References in corpus (18)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Cosmological parameters from SDSS and WMAP
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Massive neutrinos and cosmology
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Determination of Solar Neutrino Oscillation Parameters using 1496 Days of Super-Kamiokande-I Data
• Status of global fits to neutrino oscillations
• Final Results from phase II of the Mainz Neutrino Mass Search in Tritium $\beta$ Decay
• Double Beta Decay
• Superbeams versus Neutrino Factories
• Recent Progress in Neutrino Factory and Muon Collider Research within the Muon Collaboration
• Primordial Neutrinos
• Fine structure of beta decay endpoint spectrum

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• Sensitivity of Next-Generation Tritium Beta-Decay Experiments for keV-Scale Sterile Neutrinos
• Neutrino masses and mixing: a flavour symmetry roadmap
• Detecting sterile neutrinos with KATRIN like experiments
• Assessment of molecular effects on neutrino mass measurements from tritium beta decay
• $\beta$-Decay Spectrum, Response Function and Statistical Model for Neutrino Mass Measurements with the KATRIN Experiment
• Limits on the cosmic neutrino background
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• Effective neutrino masses in KATRIN and future tritium beta-decay experiments
• Analysis of KATRIN data using Bayesian inference
• A review of neutrino decoupling from the early universe to the current universe
• Unstable Cosmic Neutrino Capture
• Precise Capture Rates of Cosmic Neutrinos and Their Implications on Cosmology
• Global neutrino parameter estimation using Markov Chain Monte Carlo
• Introduction to direct neutrino mass measurements and KATRIN
• Sensitivity of Future Tritium Decay Experiments to New Physics
• Direct Measurement of Neutrino Mass
• PTOLEMY's test of generalized neutrino interactions: unveiling challenges and constraints
• Measuring neutrino mass with radioactive ions in a storage ring
• Tritium beta decay with modified neutrino dispersion relations: KATRIN in the dark sea
• A study of the relativistic corrections to polarized tritium $\beta$-decay
• Studying Both the Universe and Neutrinos Themselves Using Cosmic and Astrophysical Neutrinos
• Absolute neutrino masses