Realistic Standard Model Fermion Mass Relations in Generalized Minimal Supergravity (GmSUGRA)

TL;DR

This paper demonstrates how GmSUGRA models with higher-dimensional operators can correct fermion mass relations in GUTs, achieving realistic SM fermion masses in SU(5) and SO(10) frameworks.

Contribution

It introduces a novel approach using non-renormalizable terms in the super- and Kähler potentials to obtain realistic fermion mass relations in GUT models.

Findings

Correct SM fermion mass relations achieved in SU(5) and SO(10) models.

High-dimensional operators in the Kähler potential are key to realistic mass predictions.

First demonstration of realistic fermion masses via Kähler potential operators in GUTs.

Abstract

Grand Unified Theories (GUTs) usually predict wrong Standard Model (SM) fermion mass relation m_e/m_{\mu} = m_d/m_s toward low energies. To solve this problem, we consider the Generalized Minimal Supergravity (GmSUGRA) models, which are GUTs with gravity mediated supersymmetry breaking and higher dimensional operators. Introducing non-renormalizable terms in the super- and K\"ahler potentials, we can obtain the correct SM fermion mass relations in the SU(5) model with GUT Higgs fields in the {\bf 24} and {\bf 75} representations, and in the SO(10) model. In the latter case the gauge symmetry is broken down to SU(3)_C X SU(2)_L X SU(2)_R X U(1)_{B-L}, to flipped SU(5)X U(1)_X, or to SU(3)_C X SU(2)_L X U(1)_1 X U(1)_2. Especially, for the first time we generate the realistic SM fermion mass relation in GUTs by considering the high-dimensional operators in the K\"ahler potential.