The LHC Higgs Boson Discovery: Implications for Finite Unified Theories

TL;DR

This paper examines how finite unified theories, especially an SU(5) model, predict the Higgs boson mass and SUSY spectrum, aligning with LHC findings and guiding future collider searches.

Contribution

It demonstrates that SU(5) finite unified theories can naturally predict a Higgs mass around 125 GeV and a heavy SUSY spectrum consistent with experimental constraints.

Findings

Predicted Higgs mass range matches LHC discovery.

Heavy SUSY spectrum aligns with non-observation at LHC.

Clear predictions for future collider discovery potential.

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. We confront the predictions of an SU(5) FUT with the top and bottom quark masses and other low-energy experimental constraints, resulting in a relatively heavy SUSY spectrum, naturally consistent with the non-observation of those particles at the LHC. The light Higgs boson mass is automatically predicted in the range compatible with the Higgs discovery at the LHC. Requiring a light Higgs-boson mass in the precise range of M_h = 125.6 +- 2.1 GeV favors the lower part of the allowed spectrum, resulting in clear predictions for the discovery potential at current and future pp, as well as future e+e- colliders.