Finite Theories Before and After the Discovery of a Higgs Boson at the LHC

Abstract

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 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 GeV was predicted, in striking agreement with the recent discovery of a Higgs-like state around \sim 125.5 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 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.

34 pages, 5 figures. Review prepared to appear in "Fortschritte der Physik". arXiv admin note: substantial text overlap with arXiv:1101.2476, arXiv:1001.0428

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Cited by in corpus (6)

• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• Reduction of Couplings and its application in Particle Physics
• Updates and New Results in Models with Reduced Couplings
• Reduction of the Parameters in MSSM
• Probing Unified Theories with Reduced Couplings at Future Hadron Colliders
• Flavour in $SU(5)$ Finite Grand Unified Models