Gaugino Mediation Combined with the Bulk Matter Randall-Sundrum Model

TL;DR

This paper explores a 5D supersymmetric model combining gaugino mediation with the bulk matter Randall-Sundrum framework, explaining Yukawa hierarchies and predicting sparticle spectra with flavor-violating effects testable at colliders.

Contribution

It introduces a novel 5D model integrating gaugino mediation with the RS setup, linking Yukawa hierarchies to matter field localization and predicting flavor-violating sparticle spectra.

Findings

Predicted sparticle mass spectrum consistent with experimental data

Identified long-lived next-to-LSP likely to be a singlet smuon or selectron

Model testable via collider experiments observing flavor-violating processes

Abstract

We investigate a simple 5D extension of the Minimal Supersymmetric (SUSY) Standard Model (SM) that is combined with the bulk matter Randall-Sundrum (RS) model, which gives a natural explanation the Yukawa coupling hierarchy. In this model, matter and gauge superfields reside in the 5D bulk while a SUSY breaking sector and the Higgs doublet superfields are localized on the infrared brane. The Yukawa coupling hierarchy in SM can be naturally explained through the wavefunction localization of the matter superfields. While sparticles obtain their flavor-blind soft SUSY breaking masses dominantly from the gaugino-mediated SUSY breaking, flavor-violating soft terms arise through the gravity-mediated SUSY breaking which are controlled by the wavefunction localization of the matter superfields. This structure of the model allows us to predict the sparticle mass spectrum including flavor-violating terms. We first explicitly determine the 5D disposition of matter superfields from the low energy experimental data on SM fermion masses, CKM matrix and the neutrino oscillation parameters. Then, we calculate particle mass spectra and estimate the effects of the flavor-violating soft terms, which should be compared with the current experimental constraints. With gravitino being the lightest sparticle (LSP), the next-to-LSP, which is long-lived, is predicted most likely to be either singlet smuon-like or selectron-like. The model can be tested at collider experiments through flavor-violating processes involving sparticles. The flavor structure among sparticle, once observed, gives us a clue to deep understanding of the origin of Yukawa coupling hierarchy.