We study a supersymmetric version of the seesaw mechanism type-III. The model consists of the MSSM particle content plus three copies of 24 superfields. The fermionic part of the SU (2) triplet contained in the 24 is responsible for the type-III seesaw, which is used to explain the observed neutrino masses and mixings. Complete copies of 24 are introduced to maintain gauge coupling unification. These additional states change the beta functions of the gauge couplings above the seesaw scale. Using mSUGRA boundary conditions we calculate the resulting supersymmetric mass spectra at the electro-weak scale using full 2-loop renormalization group equations. We show that the resulting spectrum can be quite different compared to the usual mSUGRA spectrum. We discuss how this might be used to obtain information on the seesaw scale from mass measurements. Constraints on the model space due to limits on lepton flavour violating decays are discussed. The main constraints come from the bounds on µ → eγ but there are also regions where the decay τ → µγ gives stronger constraints. We also calculate the regions allowed by the dark matter constraint. For the sake of completeness, we compare our results with those for the supersymmetric seesaw type-II and, to some extent, with type-I.
Left-right symmetric extensions of the Minimal Supersymmetric Standard Model
can explain neutrino data and have potentially interesting phenomenology beyond
that found in minimal SUSY seesaw models. Here we study a SUSY model in which
the left-right symmetry is broken by triplets at a high scale, but
significantly below the GUT scale. Sparticle spectra in this model differ from
the usual constrained MSSM expectations and these changes affect the relic
abundance of the lightest neutralino. We discuss changes for the standard stau
(and stop) co-annihilation, the Higgs funnel and the focus point regions. The
model has potentially large lepton flavour violation in both, left and right,
scalar leptons and thus allows, in principle, also for flavoured
co-annihilation. We also discuss lepton flavour signals due to violating decays
of the second lightest neutralino at the LHC, which can be as large as 20
fb$^{-1}$ at $\sqrt{s}=14$ TeV.Comment: 32 pages; 18 figures; v2: discussion of Focus point include
Abstract. We consider a model for topological recursion based on the Hopf Algebra of planar binary trees of Loday and Ronco. We show that extending this Hopf Algebra by identifying pairs of nearest neighbor leaves and thus producing graphs with loops we obtain the full recursion formula of Eynard and Orantin.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.