Our current research program aims to measure the mass of the electron antin
eutrino by its effect on the shape of the tritium beta decay spectrum near
the end point. The beta source is encapsulated inside a cryogenic microcalo
rimeter such that only the neutrino escapes, and we measure the total energ
y released in each decay, minus the neutrino energy. The ultimate limitatio
n on such a measurement comes from the statistics of pileup in the energy r
egion near the end point. We discuss the required detector characteristics.
and the mass limit which can be achieved. (C) 2000 Elsevier Science B.V. A
ll rights reserved.