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The investigation of the endpoint region of the tritium β decay spectrum is still the most sensitive direct method to determine the neutrino mass scale. In the nineties and the beginning of this century the tritium β decay experiments at Mainz and Troitsk reached a sensitivity on the neutrino mass of 2 eV/c2. They were using a new type of high-resolution spectrometer with large sensitivity, the MAC-E-Filter, and were studying the systematics in detail. Currently, the KATRIN experiment is being set up at Forschungszentrum Karlsruhe, Germany. KATRIN will improve the neutrino mass sensitivity by one order of magnitude down to 0.2 eV/c2, sufficient to cover the degenerate neutrino mass scenarios and the cosmologically relevant neutrino mass range.
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