The shape of the electron energy spectrum in 3H β-decay permits a direct assay of the absolute scale of the neutrino mass; a highly accurate theoretical description of the electron energy spectrum is necessary to the empirical task. We update Sirlin's calculation of the outer radiative correction to nuclear β-decay to take into account the non-zero energy resolution of the electron detector. In previous 3H β-decay studies the outer radiative corrections were neglected all together; only Coulomb corrections to the spectrum were included. This neglect artificially pushes mν2<0 in a potentially significant way. We present a computation of the theoretical spectrum appropriate to the extraction of the neutrino mass in the sub-eV regime.
|Number of pages||9|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Sep 30 2004|
Bibliographical noteFunding Information:
The work of S.G. is supported in part by the US Department of Energy under contract number DE-FG02-96ER40989. We thank Wolfgang Korsch for helpful discussions and much-needed assistance with ROOT and Christian Weinheimer for useful comments and correspondence. S.G. thanks the SLAC theory group for hospitality during the completion of this manuscript. We are grateful to Burton Richter for suggestions helpful in improving our presentation.
ASJC Scopus subject areas
- Nuclear and High Energy Physics