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

References in corpus (9)

• R-parity violating supersymmetry
• Neutrino Mass and New Physics
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Neutrino masses in the Lepton Number Violating MSSM
• Radiative seesaw: a case for split supersymmetry
• R-parity violation in split supersymmetry
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• Neutrino Masses in Split Supersymmetry
• How large could the R-parity violating couplings be?

Cited by in corpus (7)

• Gravitino Dark Matter and Neutrino Masses in Partial Split Supersymmetry
• Proceedings of the first workshop on Flavor Symmetries and consequences in Accelerators and Cosmology (FLASY2011)
• Gravitino Dark Matter in Split Supersymmetry with Bilinear R-Parity Violation
• Explaining Solar Neutrinos with Heavy Higgs Masses in Partial Split Supersymmetry
• Non-diagonal Charged Lepton Yukawa Matrix: Effects on Neutrino Mixing in Supersymmetry
• Implications of Bilinear R-Parity Violation on Neutrinos and Lightest Neutralino Decay in Split Supersymmetry
• RGE Effects on neutrino masses in partial split supersymmetry