Gravity Effects on Neutrino Masses in Split Supersymmetry

TL;DR

This paper proposes a model combining split supersymmetry and quantum gravity effects to explain neutrino masses and mixing angles, predicting the quantum gravity scale near the GUT scale and testable in future experiments.

Contribution

It introduces a novel framework integrating supersymmetry and quantum gravity to account for neutrino properties, with specific predictions for the gravity scale.

Findings

Neutrino mass differences explained by combined effects

Predicted quantum gravity operator scale near GUT scale

Model's testability in future experiments

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.