Finite unified theories and their predicitions

Journal Article · Fri Mar 15 04:00:00 EDT 2013 · Physics of Particles and Nuclei

DOI:https://doi.org/10.1134/S1063779613020159· OSTI ID:22977195

Heinemeyer, S. ^[1]; Mondragón, M. ^[2]; Zoupanos, G. ^[3]

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1. Institute de Física de Cantabria (CSIC-UC), Santander (Spain)
2. Institute de Física Universidad National Autónoma de México, México (Mexico)
3. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), München (Germany)

All-loop Finite Unified Theories (FUTs) are very interesting N = 1 supersymmetric Grand Unified Theories (GUTs) realising an old field theory dream, and moreover have a remarkable predictive power due to the required reduction of couplings. The reduction of the dimensionless couplings in N = 1 GUTs is achieved by searching for renormalization group invariant (RGI) relations among them holding beyond the unification scale. Finiteness results from the fact that there exist RGI relations among dimensional couplings that guarantee the vanishing of all beta-functions in certain N = 1 GUTs even to all orders. Additional developments in the soft supersymmetry breaking sector of N = 1 GUTs and FUTs lead to exact RGI relations, i.e. reduction of couplings, in this dimensionful sector of the theory, too. Based on the above theoretical framework phenomenologically consistent FUTs have been constructed. Here we review two FUT models based on the SU(5) gauge group. Confronting their predictions with the top and bottom quark masses and other experimental constraints a light Higgs-boson mass in the range M{sub H} ∼ 121–126 GeV has been predicted, in striking agreement with the recent experimental results from ATLAS and CMS. Furthermore naturally a relatively heavy s-spectrum emerged with coloured supersymmetric particles above ∼1.5 TeV in agreement with the non-observation of those particles at the LHC. Restricting further the parameter space of the best version of the SU(5) FUT according to the reported accuracy of the Higgs boson mass and B-physics observables we find predictions for the rest of the Higgs masses and the s-spectrum.

• OSTI ID: 22977195
• Journal Information: Physics of Particles and Nuclei, Journal Name: Physics of Particles and Nuclei Journal Issue: 2 Vol. 44; ISSN 1063-7796
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATLAS DETECTOR
B QUARKS
CERN LHC
CMS DETECTOR
COUPLING
FORECASTING
GRAND UNIFIED THEORY
HIGGS BOSONS
HIGGS MODEL
MASS SPECTRA
REST MASS
SU-5 GROUPS
SUPERSYMMETRY
SYMMETRY BREAKING