What if $θ_{13}$ Is Small?

Details What if $θ_{13}$ Is Small? What if $θ_{13}$ Is Small?

2005-07-31

arxiv.org/abs/hep-ph/0508008v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1139/P06-016

In the basis where the charged lepton mass matrix is diagonal, the left-handed neutrino mass matrix is invariant under the permutation of the second and third generations if, and only if, the reactor angle $\theta_{13}$ is zero and the atmospheric mixing angle $\theta_{23}$ is maximal. In the presence of the seesaw mechanism, this symmetry leads to an inverted hierarchy, with $m_3=0$. This inverted mass spectrum is doubly protected if the right-handed neutrinos also have a 2-3 symmetry.

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