Non-renormalizable Operators for Solar Mass Generation in Split SuSy with Bilinear R-parity Violation

TL;DR

This paper explores how non-renormalizable operators in an effective low-energy theory derived from Split Supersymmetry can generate the solar neutrino mass difference, addressing a limitation of previous models.

Contribution

It introduces a method to include higher-order operators beyond leading order, specifically a dimension-8 operator, to explain solar neutrino mass differences in Split Supersymmetry.

Findings

A dimension-8 operator is crucial for neutrino mass differences.

Standard Split SUSY models fail to generate solar neutrino mass differences.

Higher-order operators can successfully account for neutrino phenomenology.

Abstract

The Minimal Supersymmetric Extension of the Standard Model (MSSM) is able to explain the current data from neutrino physics. Unfortunately Split Supersymmetry as low energy approximation of this theory fails to generate a solar square mass difference, including after the addition of bilinear R-Parity Violation. In this work, it is shown how one can derive an effective low energy theory from the MSSM in the spirit of Split Supersymmetry, which has the potential of explaining the neutrino phenomenology. This is achieved by going beyond leading order in the process of integrating out heavy scalars from the original theory, which results in non-renormalizable operators in the effective low energy theory. It is found that in particular a $d=8$ operator is crucial for the generation of the neutrino mass differences.