Finite Unified Theories and the Higgs boson

TL;DR

This paper reviews finite unified theories based on SU(5) supersymmetric GUTs, demonstrating their predictive power in Higgs boson mass and supersymmetric particle spectrum, aligning well with recent experimental findings.

Contribution

It presents two specific SU(5)-based finite unified models that predict the Higgs mass and superpartner spectrum consistent with current experimental data.

Findings

Predicts Higgs mass in the range 121-126 GeV

Forecasts heavy supersymmetric particles above 1.5 TeV

Aligns with LHC non-observation of superpartners

Abstract

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. Based on this theoretical framework phenomenologically consistent FUTs have been constructed. Here we review two FUT models based on the SU(5) gauge group, which can be seen as special, restricted and thus very predictive versions of the MSSM. We show that from the requirement of correct prediction of quark masses and other experimental constraints a light Higgs-boson mass in the range M_h ~ 121 - 126 GeV is predicted, in striking agreement with recent experimental results from ATLAS and CMS. The model furthermore naturally predicts a relatively heavy spectrum with colored supersymmetric particles above ~ 1.5 TeV in agreement with the non-observation of those particles at the LHC.