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Finite Unified Theories (FUTs) have proven very successful so far. In particular, they predicted the top quark mass one and half years before its experimental discovery, while around five years ago confronting their predictions with the values of the top and bottom quark masses at the time, as well as with other low-energy experimental results, a light Higgs-boson in the mass range ~ 121–126 GeV was predicted, in striking agreement with the recent discovery of a Higgs like state at ATLAS and CMS. FUTs are N = 1 supersymmetric Grand Unified Theories, which can be made all-loop finite based on the principle of reduction of couplings, which in turn provides them with a large predictive power. Here we review a FUT model based on SU(5) as gauge group. It is worth noting that this model naturally predicted a relatively heavy spectrum with the coloured supersymmetric particles above 1.5 TeV, consistent with the non-observation of those particles at the LHC, as well as a large tan β. Recently, restricting further the parameter space of this FUT model according to the discovery of a Higgs-like state and B-physics observables, we found predictions for the rest of the Higgs masses and s-spectrum

Finite Theories predictions vs. the Discovery of a Higgs-like Boson at the LHC