  Tritium beta-decay is the most promising approach to measure the absolute
masses of active light neutrinos in the laboratory and in a model-independent
fashion. The development of Cyclotron Radiation Emission Spectroscopy
techniques and the use of atomic tritium has the potential to improve the
current limits by an order of magnitude in future experiments. In this paper,
we analyse the potential sensitivity of such future searches to keV-mass
sterile neutrinos and exotic interactions of either the active or sterile
neutrinos. We calculate the relevant decay distributions in both energy and
angle of the emitted electron with respect to a potential polarisation of the
tritium, including the interference with the Standard Model case as well as
incorporating relevant final state corrections for atomic tritium. We present
projected sensitivities on the active-sterile neutrino mixing and effective
coupling constants of exotic currents, demonstrating the potential to probe New
Physics in tritium experiments.
