The LHC Higgs Boson Discovery: Updated implications for Finite Unified Theories and the SUSY breaking scale

Understand

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 reduction of couplings.

• The latter consists in 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.