On the GUT scale of F-Theory SU(5)

TL;DR

This paper investigates how Kaluza-Klein threshold corrections from matter and gauge multiplets in F-theory SU(5) models influence the unification scale and gauge coupling predictions, with explicit calculations for matter on Riemann surfaces.

Contribution

It analyzes the impact of matter curve contributions on the GUT scale and provides explicit threshold computations for specific matter configurations in F-theory GUTs.

Findings

Threshold corrections significantly affect the GUT scale.

Conditions on matter spectrum ensure minimal unification.

Explicit threshold calculations for matter on Riemann surfaces.

Abstract

In F-theory GUTs, threshold corrections from Kaluza-Klein massive modes arising from gauge and matter multiplets play an important role in the determination of the weak mixing angle and the strong gauge coupling of the effective low energy model. In this letter we further explore the induced modifications on the gauge couplings running and the GUT scale. In particular, we focus on the KK-contributions from matter curves and analyse the conditions on the chiral and Higgs matter spectrum which imply a GUT scale consistent with the minimal unification scenario. As an application, we present an explicit computation of these thresholds for matter fields residing on specific non-trivial Riemann surfaces.