Large Lepton-flavor Mixings from E8 Kodaira Singularity: Lopsided Texture via F-theory Family Unification

TL;DR

This paper demonstrates how a specific F-theory configuration involving E8 Kodaira singularities can naturally produce the observed large lepton-flavor mixings and Yukawa hierarchies through a six-dimensional spectrum and family unification.

Contribution

It introduces a novel colliding 7-brane configuration in F-theory that realizes a three-generation family unification model with realistic flavor structures.

Findings

Realizes a six-dimensional spectrum matching three-generation E7/(SU(5) x U(1)^3) model

Provides the correct U(1) charges for Yukawa hierarchies

Achieves large lepton-flavor mixing in a seesaw scenario

Abstract

We show that a special type of colliding 7-brane configuration of a codimension-two singularity realizes not only a six-dimensional spectrum with exactly the same quantum numbers as that of the three-generation E7/(SU(5) x U(1)^3) coset family unification model, but also the three sets of nonchiral singlet pairs with precisely the correct U(1) charges needed for explaining the Yukawa hierarchies and large lepton-flavor mixings in a well-known seesaw scenario.