a Department of Physics, University of Wisconsin, Madison, WI 53706, USA
b Department of Physics, Boston University, Boston, MA 02215, USA
c Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA
Abstract:
We present a necessary condition on the solar oscillation amplitude for CP violation to be detectable through neutrinoless double beta (0νββ) decay. It depends only on the fractional uncertainty in the νe–νe element of the neutrino mass matrix. We demonstrate that even under very optimistic assumptions about the sensitivity of future experiments to the absolute neutrino mass scale, and on the precision with which nuclear matrix elements that contribute to 0νββ decay are calculable, it will be impossible to detect neutrino CP violation arising from Majorana phases.