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 Mh ~ 121-126 GeV was predicted, in striking agreement with the recent discovery of a Higgs-like state around ~ 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 ~ 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. The combination of results of Finite Unified Theories (FUT) based on SU(5) with the top and bottom quark masses and other low-energy experimental constraints leads to the prediction of a light Higgs-boson mass in the range 121-126 GeV in striking agreement with the recent discovery of a Higgs-like state around 125.5 GeV at ATLAS and CMS. The favoured model, a finiteness constrained version of the MSSM, naturally predicts a relatively heavy spectrum with coloured supersymmetric particles above 1.5 TeV, consistent with the non-observation of those particles at the LHC. Restricting the best FUT parameter space according to the discovery of a Higgs-like state and B-physics observables one finds predictions for the rest of the Higgs masses and the supersymmetric particle spectrum. Copyright © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.