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Symmetry 2018, 10(3), 62; https://doi.org/10.3390/sym10030062

The LHC Higgs Boson Discovery: Updated Implications for Finite Unified Theories and the SUSY Breaking Scale

1
Instituto de Física Teórica, Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain
2
Campus of International Excellence UAM+CSIC, Cantoblanco, 28049 Madrid, Spain
3
Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain
4
Instituto de Física, Universidad Nacional Autónoma de México, A.P. 20-364, Mexico City 01000, Mexico
5
Physics Department, National Technical University, 157 80 Zografou, Greece
6
Max-Planck Institut für Physik, Föhringer Ring 6, D-80805 München, Germany
*
Author to whom correspondence should be addressed.
Received: 12 February 2018 / Revised: 27 February 2018 / Accepted: 27 February 2018 / Published: 7 March 2018
(This article belongs to the Special Issue Symmetry in Quantum Field Theory)
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Abstract

Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories, which can be made finite to all orders in perturbation theory, based on the principle of the reduction of couplings. The latter consists of searching for renormalization group invariant relations among parameters of a renormalizable theory holding to all orders in perturbation theory. 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 before the Higgs boson discovery, a particular FUT was predicting the light Higgs boson in the mass range ∼121–126 GeV, in striking agreement with the discovery at LHC. Here, we review the basic properties of the supersymmetric theories and in particular finite theories resulting from the application of the method of reduction of couplings in their dimensionless and dimensionful sectors. Then, we analyze the phenomenologically-favored FUT, based on SU(5). This particular FUT leads to a finiteness constrained version of the Minimal SUSY Standard Model (MSSM), which naturally predicts a relatively heavy spectrum with colored supersymmetric particles above 2.7 TeV, consistent with the non-observation of those particles at the LHC. The electroweak supersymmetric spectrum starts below 1 TeV, and large parts of the allowed spectrum of the lighter might be accessible at CLIC. The FCC-hhwill be able to fully test the predicted spectrum. View Full-Text
Keywords: Finiteness; Supersymmetry; Unification; Reduction; Gauge-Yukawa; Higgs Finiteness; Supersymmetry; Unification; Reduction; Gauge-Yukawa; Higgs
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Heinemeyer, S.; Mondragón, M.; Patellis, G.; Tracas, N.; Zoupanos, G. The LHC Higgs Boson Discovery: Updated Implications for Finite Unified Theories and the SUSY Breaking Scale. Symmetry 2018, 10, 62.

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