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Finite theories before and after the discovery of a Higgs boson at the LHC. (English) Zbl 1338.81399

Summary: Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories (GUTs) which can be made finite to all-loop orders, based on the principle of reduction of couplings, and therefore are provided with a large predictive power. Confronting the predictions of \(\operatorname{SU}(5)\) FUTs with the top and bottom quark masses and other low-energy experimental constraints a light Higgs-boson mass in the range \(M_{h} = \sim 121-126\; \text{GeV}\) was predicted, in striking agreement with the recent discovery of a Higgs-like state around \(\sim 125.5\; \text{GeV}\) at ATLAS and CMS. Furthermore the favoured model, a finiteness constrained version of the MSSM, naturally predicts a relatively heavy spectrum with coloured supersymmetric particles above \(\sim 1.5\; \text{TeV}\), consistent with the non-observation of those particles at the LHC. Restricting further the best FUT’s parameter space according to the discovery of a Higgs-like state and B-physics observables we find predictions for the rest of the Higgs masses and the supersymmetric particle spectrum.

MSC:

81V22 Unified quantum theories
81T60 Supersymmetric field theories in quantum mechanics
81R40 Symmetry breaking in quantum theory
81T18 Feynman diagrams

Software:

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