Abstract
Grand Unified Theories (GUTs) usually predict wrong Standard Model (SM) fermion mass relation m e /m μ = 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 Kähler potentials, we can obtain the correct SM fermion mass relations in the SU(5) model with GUT Higgs fields in the 24 and 75 representations, and in the SO(10) model. In the latter case the gauge symmetry is broken down to SU(3) C × SU(2) L × SU(2) R × U(1) B−L , to flipped SU(5)×U(1) X , or to SU(3) C × SU(2) L × U(1)1 × 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 Kähler potential.
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