A Comment on the Measurement of Neutrino Masses in Beta-Decay Experiments

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, LATEX; results unchanged, references added and typos corrected; version submitted for publication

Scientific paper

10.1016/j.physletb.2006.06.050

We discuss the physics potential of future tritium beta-decay experiments having a sensitivity to a neutrino mass ~\sqrt{|\Delta m^{2}_{23}|}~5x10^{-2} eV. The case of three-neutrino mixing is analised. A negative result of such an experiment would imply that the neutrino mass spectrum is of normal hierarchical type. The interpretation of a positive result would depend on the value of the lightest neutrino mass; if the lightest neutrino mass satisfies the inequality min(m_j) << \sqrt{|\Delta m^{2}_{23}|}, it would imply that the neutrino mass spectrum is of the inverted hierarchical type.

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