Gravity Effects on Neutrino Masses in Split Supersymmetry

Abstract

The mass differences and mixing angles of neutrinos can neither be explained by R-Parity violating split supersymmetry nor by flavor blind quantum gravity alone. It is shown that combining both effects leads, within the allowed parameter range, to good agreement with the experimental results. The atmospheric mass is generated by supersymmetry through mixing between neutrinos and neutralinos, while the solar mass is generated by gravity through flavor blind dimension five operators. Maximal atmospheric mixing forces the tangent squared of the solar angle to be equal to 1/2. The scale of the quantum gravity operator is predicted within a 5% error, implying that the reduced Planck scale should lie around the GUT scale. In this way, the model is very predictive and can be tested at future experiments.

12 pages, 9 figures; In section 3 we extend our discussion about the definition of flavor basis in order to clarify in which basis the Gravity contributions are flavor blind. In the section 4 we add some words to explain why the Gravity contributions will not affect the charged lepton mass matrix; Finally we also fixed some minor typos regarding units or plot labels