Finite Theories after the discovery of a Higgs-like boson at the LHC

TL;DR

Finite Unified Theories, based on supersymmetry and coupling reduction, can predict a Higgs mass consistent with LHC findings and suggest a heavy supersymmetric spectrum, demonstrating their high predictive power.

Contribution

This paper shows that certain finite supersymmetric GUTs can accurately predict the Higgs mass and supersymmetric particle spectrum in line with experimental data.

Findings

Predicted Higgs mass range 121-126 GeV matches LHC discovery.

Favored models predict heavy supersymmetric particles above 1.5 TeV.

Constrained parameter space yields specific Higgs and sparticle mass predictions.

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 ~ 121-126 GeV was predicted, in striking agreement with the recent discovery of a Higgs-like state around ~ 125.7 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 s-spectrum.