Cascade Hierarchy in SUSY SU(5) GUT

TL;DR

This paper explores a cascade hierarchy in supersymmetric SU(5) GUT, linking neutrino mixing, quark masses, and phenomenological implications like lepton flavor violation and leptogenesis.

Contribution

It introduces a cascade hierarchy framework within SUSY SU(5) GUT that naturally explains fermion mass textures and mixing angles, integrating experimental observations.

Findings

Neutrino Dirac mass matrix of cascade form yields tri-bimaximal mixing.

Down quark mass matrix of hybrid cascade form reproduces CKM structure.

Phenomenological analysis of lepton flavor violation and leptogenesis.

Abstract

We study cascade hierarchy in supersymmetric SU(5) grand unified theory. The neutrino Dirac mass matrix of the cascade form can lead to the tri-bimaximal generation mixing at the leading order in the seesaw mechanism while the down quark mass matrix of a hybrid cascade form naturally gives the CKM structure. We embed such experimentally favored mass textures into supersymmetric SU(5) GUT, which gives a relation between the down quark and charged lepton mass matrices. Related phenomenologies, such as lepton flavor violating processes and leptogenesis, are also investigated in addition to lepton mixing angles.