Abstract
Neutrino masses and mixings have important implications for models of fermion masses, and, most directly, for the charged lepton sector. We consider supersymmetric Abelian flavor models, where neutrino mass parameters are related to those of charged leptons and sleptons. We show that processes such as \tau to \mu\gamma, \mu to e\gamma and \mu-e conversion provide interesting probes. In particular, some existing models are excluded by current bounds, while many others predict rates within reach of proposed near future experiments. We also construct models in which the predicted rates for charged lepton flavor violation are below even the proposed experimental sensitivities, but argue that such models necessarily involve loss of predictive power.
Highlights
The most problematic aspect of the standard model is the unnaturally small ratio between the electroweak breaking scale and the Planck scale, that is, the fine-tuning problem
Before we describe the details of our study, we emphasize that our basic, underlying assumption is that Abelian flavor symmetries determine the structure of both Yukawa couplings and supersymmetry breaking parameters. ͑When we discuss models in which there are additional ingredients that affect the hierarchy in the flavor parameters, such as models without R-parity, we will state so explicitly.͒ It could be, that Abelian flavor symmetries determine the structure of the Yukawa couplings, but their effects on the supersymmetry breaking parameters are screened
We have studied the predictions of supersymmetric Abelian flavor models for lepton flavor violating decays in view of measurements of neutrino mass and mixing parameters
Summary
The most problematic aspect of the standard model is the unnaturally small ratio between the electroweak breaking scale and the Planck scale, that is, the fine-tuning problem. ͑When we discuss models in which there are additional ingredients that affect the hierarchy in the flavor parameters, such as models without R-parity, we will state so explicitly.͒ It could be, that Abelian flavor symmetries determine the structure of the Yukawa couplings, but their effects on the supersymmetry breaking parameters are screened. This is the case, for example, if the slepton masses are dominated by large, universal contributions from renormalization group evolution. Most of these models are still viable models of neutrino parameters if slepton masses are approximately universal
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
