Mixed gauge and anomaly mediation from new physics at 10 TeV

In the context of anomaly-mediated supersymmetry breaking, it is natural for vectorlike fields and singlets to have supersymmetry breaking masses of order 10 TeV, and therefore act as messengers of supersymmetry breaking. We show that this can give rise to phenomenologically viable spectra compatible with perturbative gauge coupling unification. The minimal model interpolates continuously between pure anomaly mediation and gauge mediation with a messenger scale of order 10 TeV. It is also possible to have non-minimal models with more degenerate specta, with some squarks lighter than sleptons. These models reduce to the MSSM at low energies and incorporate a natural solution of the μ problem. The minimal model has four continuous parameters and one discrete parameter (the number of messengers). The LEP Higgs mass bound can be satisfied in the minimal model by tuning parameters at the GUT scale to one part in 50.