Finite Unified Theories confronted with low-energy phenomenology

TL;DR

This paper investigates SU(5) Finite Unified Theories by scanning their parameter space and applying low-energy phenomenological constraints to predict particle spectra and Higgs boson properties.

Contribution

It provides a comprehensive analysis of SU(5) FUTs with detailed phenomenological constraints, enhancing understanding of their low-energy implications.

Findings

Discriminates between models based on quark mass constraints

Predicts Higgs boson mass and supersymmetric particle spectrum

Identifies parameter space consistent with dark matter density

Abstract

Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories that can be made all-loop finite. The requirement of all-loop finiteness leads to a severe reduction of the free parameters of the theory and, in turn, to a large number of predictions. Here SU(5) FUTs are investigated in the context of low-energy phenomenology observables. We present a detailed scanning of these FUTs, including theoretical uncertainties at the unification scale and applying all phenomenological constraints. Taking into account the restrictions from the top and bottom quark masses, we can 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 determine the predictions of the allowed parameter space for the Higgs boson sector and the supersymmetric particle spectrum of the model.