Abstract
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.
Highlights
A number of proposals and ideas in high-energy physics have matured with time and have survived after careful theoretical studies and confrontation with experimental data
Fundamental developments in Theoretical Particle Physics are based in reconsiderations of the problem of divergencies and serious attempts to solve it
It is a thoroughly fascinating fact that many interesting ideas that have survived various theoretical and phenomenological tests, as well as the solution to the UV divergencies problem, find a common ground in the framework of N = 1 Finite Unified Theories, which we have described in the previous sections
Summary
Taking into account the restrictions resulting from the low-energy observables, it was possible to extend the predictive power of the RGI method to the Higgs sector and the SUSY spectrum. As further features a heavy SUSY spectrum and large values of tan β (the ratio of the two vacuum expectation values of the Higgs fields) were found [28]. In these proceedings, we review an S U(5)-based finite SUSY model and its predictions, taking into account the restrictions resulting from the low-energy observables [28]. As the crucial new ingredient we interpret the newly discoverd particle at ∼ 126 GeV as the lightest MSSM Higgs boson and we analyse which constraints imposes the measured value of the Higgs boson mass on the predictions of the SUSY spectrum
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