Confronting Finite Unified Theories with Low-Energy Phenomenology

TL;DR

This paper investigates all-loop finite SU(5) supersymmetric Grand Unified Theories, analyzing their low-energy phenomenology and predictions for particle physics observables under various experimental constraints.

Contribution

It provides a comprehensive scan of finite SU(5) FUTs, incorporating theoretical uncertainties and phenomenological constraints to identify viable models and their low-energy predictions.

Findings

Discriminates between models based on quark mass constraints

Predicts Higgs boson mass and supersymmetric spectrum consistent with current data

Identifies parameter space compatible with dark matter and B physics constraints

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. FUTs are investigated in the context of low-energy phenomenology observables. We present a detailed scanning of the all-loop finite SU(5) FUTs, where we include the theoretical uncertainties at the unification scale and we apply several 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 selected model.