Abstract
Right-handed neutrinos in supersymmetric models can act as the source of lepton flavor violation (LFV). We present experimental implications of lepton flavor-violating processes within a supersymmetric type-I seesaw framework in the three-extra-parameter non-universal Higgs model (NUHM3) for large (PMNS-like) and small (CKM-like) Yukawa mixing scenarios. We highlight LFV predictions for the natural (low $\Delta_{\rm EW}$) portion of parameter space. Our numerical analysis includes full 2-loop renormalization group running effects for the three neutrino masses and mass matrices. We show the projected discovery reach of various LFV experiments ($\textit{i.e.}$ Mu2e, Mu3e, MEG-II, Belle-II), and specify regions that have already been excluded by the LHC searches. Our results depend strongly on whether one has a normal sneutrino hierarchy (NSH) or an inverted sneutrino hierarchy (ISH). Natural SUSY with a NSH is already excluded by MEG-2013 results while large portions of ISH have been or will soon be tested. However, LFV processes from natural SUSY with small Yukawa mixing and an ISH seem below any projected sensitivities. A substantial amount of the remaining parameter space of models with large PMNS-like sneutrino mixing will be probed by Mu2e and MEG-II experiments whereas small, CKM-like Yukawa mixing predicts LFV decays which can hide from LFV experiments.
Highlights
Despite the lack of signals from the large hadron collider (LHC) [1], supersymmetry (SUSY) remains a very compelling model for physics beyond the standard model
In supersymmetric models augmented with right-handed neutrinos, loop effects can enhance off-diagonal elements of the slepton mass matrix and generate sizable lepton flavor violation effects which results in low energy LFV observables [34,40]
The cMSSM + right-handed neutrinos (RHN) model parameter set has been well investigated in the literature [20,35,37,38]
Summary
Despite the lack of signals from the large hadron collider (LHC) [1], supersymmetry (SUSY) remains a very compelling model for physics beyond the standard model. For various natural MSSM models, and independent of the neutrino sector, upper limits have been calculated as mt1 3.5 TeV and mg 6 TeV [with the exception of the natural anomaly mediated SUSY breaking model (nAMSB) [27] where gluino mass can reach up to 9 TeV]. Such models will only be partially probed by high luminosity (HL) LHC [28].
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