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Sterile neutrinos emerge in minimal extensions of the Standard Model whichcan solve a number of open questions in astroparticle physics. For example,sterile neutrinos in the keV-mass range are viable dark matter candidates.Their existence would lead to a kink-like distortion in the tritium$\beta$-decay spectrum. In this work we report about the instrumentation of theTroitsk nu-mass experiment with a 7-pixel TRISTAN prototype detector andmeasurements in both differential and integral mode. The combination of the twomodes is a key requirement for a precise sterile neutrino search, as bothmethods are prone to largely different systematic uncertainties. Thanks to theexcellent performance of the TRISTAN detector at high rates, a sterile neutrinosearch up to masses of about 6 keV could be performed, which enlarges theprevious accessible mass range by a factor of 3. Upper limits on the neutrinomixing amplitude in the mass range < 5.6 keV (differential) and < 6.6 keV(integral) are presented. These results demonstrate the feasibility of asterile neutrino search as planned in the upgrade of the KATRIN experiment withthe final TRISTAN detector and read-out system.

Measurements with a TRISTAN prototype detector system at the "Troitsk nu-mass" experiment in integral and differential mode