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

TL;DR

This paper derives a potential in a five-dimensional warped spacetime that explains how leptons, especially neutrinos, might tunnel into extra dimensions, potentially affecting cosmic neutrino observations.

Contribution

It introduces a confinement potential in AdS_5 spacetime and explores its implications for neutrino tunneling into extra dimensions.

Findings

Lightest neutrino can tunnel into extra dimensions.

Potential affects the presence of neutrinos in cosmic background.

Heavier neutrinos are less likely to tunnel.

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.