Selecting Finite Unified Theories with Current Data

TL;DR

This paper reviews finite unified theories based on SU(5), analyzing their low-energy phenomenology and predicting supersymmetric particle spectra to guide future LHC discoveries.

Contribution

It provides a comprehensive analysis of SU(5) finite unified theories in light of current experimental constraints and predicts their low-energy phenomenological implications.

Findings

Discriminates between models using top and bottom quark masses

Incorporates B-physics, Higgs mass, and dark matter constraints

Predicts supersymmetric particle spectra for LHC searches

Abstract

Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories that can be made all-loop finite, leading to a severe reduction of the free parameters. We review the investigation of FUTs based on SU(5) in the context of low-energy phenomenology observables. Using the restrictions from the top and bottom quark masses, it is possible to discriminate between different models. Including further low-energy constraints such as B-physics observables, the bound on the lightest Higgs boson mass and the cold dark matter density, we derive the predictions for the supersymmetric particle spectrum and the prospects for discoveries at the LHC.