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

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

2011-01-28

arxiv.org/abs/1101.5423v2

JHEP 1102:096,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

JHEP style, 29 pages, no figure,references added

Scientific paper

10.1007/JHEP02(2011)096

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.

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