Yukawa couplings in F-theory SU(5)

TL;DR

This paper analyzes fermion mass textures in F-theory SU(5) GUTs by computing Yukawa couplings from wavefunction overlaps and estimating higher order contributions, providing insights into fermion mass hierarchies.

Contribution

It presents a method to compute tree-level and higher order Yukawa couplings in F-theory SU(5) models, advancing understanding of fermion mass textures.

Findings

Tree-level Yukawa couplings are derived from wavefunction overlaps.

Higher order non-renormalizable couplings are estimated from heavy modes.

The approach offers a framework for realistic fermion mass hierarchies.

Abstract

The fermion mass textures are discussed in the context of F-theory SU(5) GUT. The tree-level up, down and charged lepton Yukawa couplings are computed in terms of the integrals of overlapping wavefunctions at the intersection points of three matter curves. All remaining entries in the fermion mass matrices can also be reliably estimated from higher order non-renormalizable Yukawa couplings mediated by heavy string modes and/or Kaluza-Klein states.