Unification, KK-thresholds and the top Yukawa coupling in F-theory GUTs

Understand

In a class of F-theory SU(5) GUTs the low energy chiral mass spectrum is obtained from rank one fermion mass textures with a hierarchical structure organised by U(1) symmetries embedded in the exceptional E_8 group.

• In these theories chiral fields reside on matter `curves' and the tree level masses are computed from integrals of overlapping wavefuctions of the particles at the triple intersection points.
• This calculation requires knowledge of the exact form of the wavefuctions.
• In this work we propose a way to obtain a reliable estimate of the various quantities which determine the strength of the Yukawa couplings.