Fermion Mass Hierarchy in the Grand Unified Theory on $S_1/(Z_2 \times Z_2')$ Orbifold

Details Fermion Mass Hierarchy in the Grand Unified Theory on $S_1/(Z_2 \times Z_2')$ Orbifold Fermion Mass Hierarchy in the Grand Unified Theory on $S_1/(Z_2 \times Z_2')$ Orbifold

2001-07-17

arxiv.org/abs/hep-ph/0107190v4

Prog.Theor.Phys. 107 (2002) 151-162

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX,12pages

Scientific paper

10.1143/PTP.107.151

We suggest a simple grand unified theory where the fifth dimensional coordinate is compactified on an $S_1/(Z_2 \times Z_2')$ orbifold. This model is based on the supersymmetric flipped $SU(5) \times U(1)$ grand unified theory, which can realize not only the triplet-doublet splitting but also the natural fermion mass hierarchies. The triplet-doublet splitting is realized by $S_1/(Z_2 \times Z_2')$ orbifolding, which also reduces the gauge group as $SU(5) \times U(1) \to SU(3)_c \times SU(2)_L \times U(1)_Z \times U(1)_X$. The suitable fermion mass hierarchies are generated by integrating out extra three sets of vector-like heavy fields which can propagate in five dimensions. The radiative corrections to the large Yukawa coupling of right-handed neutrinos can reduce the gauge group to $SU(3)_c \times SU(2)_L \times U(1)_Y$.

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