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

N. Haba; Y. Shimizu; Tomoharu Suzuki; Kazumasa Ukai

doi:10.1143/PTP.107.151

paper

Fermion Mass Hierarchy in the Grand Unified Theory on $S_{1} / (Z_{2} \times Z_{2}^{'})$ Orbifold

arXiv:hep-ph/0107190 · doi:10.1143/PTP.107.151

Abstract

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 $S U (5) \times U (1)$ 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 $S U (5) \times U (1) \to S U (3)_{c} \times S U (2)_{L} \times U (1)_{Z} \times U (1)_{X}$ . 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 $S U (3)_{c} \times S U (2)_{L} \times U (1)_{Y}$ .

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Fermion Mass Hierarchy in the Grand Unified Theory on S1​/(Z2​×Z2′​) Orbifold

Abstract

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Fermion Mass Hierarchy in the Grand Unified Theory on $S_{1} / (Z_{2} \times Z_{2}^{'})$ Orbifold