Unparticle physics and lepton flavor violating radion decays in the Randall-Sundrum scenario

TL;DR

This paper predicts lepton flavor violating radion decay rates in the Randall-Sundrum model mediated by scalar unparticles, showing they can reach observable levels depending on unparticle parameters.

Contribution

It introduces a novel analysis of radion decay branching ratios via scalar unparticles within the Randall-Sundrum framework, highlighting their sensitivity to unparticle scaling dimensions.

Findings

Branching ratios can reach 10^{-8} for small unparticle scaling dimensions.

Decay rates are highly sensitive to unparticle parameters.

Potential observability of lepton flavor violation in radion decays.

Abstract

We predict the branching ratios of the lepton flavor violating radion decays r -> e^{\pm} \mu^{\pm}, r -> e^{\pm} \tau^{\pm} and r ->\mu^{\pm} \tau^{\pm} in the framework of the Randall-Sundrum scenario that the lepton flavor violation is carried by the scalar unparticle mediation. We observe that their BRs are strongly sensitive to the unparticle scaling dimension and, for its small values, the branching ratios can reach to the values of the order of 10^{-8}, for the heavy lepton flavor case.