Neutrino masses, the cosmological constant, and a stable universe in a Randall-Sundrum scenario

The Randall-Sundrum model of warped geometry in a five-dimensional scenario, aimed at explaining the hierarchy between the Planck and electroweak scales, is intrinsically unstable in its minimal form due to negative tension of the visible brane. A proposed solution to the problem yields a negative cosmological constant in four dimensions. We show that this wrong-sign cosmological constant is restricted to small values, therefore requiring less cancellation from hitherto unknown physics, if bulk neutrinos are postulated to explain the observed neutrino mass pattern. Thus neutrino masses, a stable TeV-brane configuration and new physics in the context of the cosmological constant get rather suggestively connected by the same thread.

Figure 1

Areas in the $\omega -k{r}_c\pi$ plane for positive tension of visible brane allowed by the NH (left) and IH (right) scenarios of neutrinos.

Figure 2

The ranges of $m_{A,B}$ allowed by the NH (left panel) and IH (right panel) scenarios vis-a-vis $-\ln ({\omega }^2)$.

Figure 3

Allowed ranges of neutrino masses against $-\ln ({\omega }^2)$, for NH (left) and IH (right). One mass eigenvalue is always zero in each case.