A Confinement Potential for Leptons and Their Tunneling Effects into Extra Dimensions

Abstract

Considering the five-dimensional warped spacetime AdS_5 with the D3-brane, we derive a potential in the fifth dimension, according to which ordinary particles are initially confined on the D3-brane. It is estimated, however, that the lightest neutrino with mass m_1 is tunneling away into the extra dimension. Hence there is a possibility that no neutrinos with mass m_1 exist in cosmicbackground neutrinos, but surviving neutrinos are those with heavier masses m_2 and m_3. The other possibilities are also discussed.

Comments: 6 pages, 1 figure