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Prog. Theor. Phys. Vol. 71 No. 3 (1984) pp. 615-632

A Realistic SU(6) GUT with Dynamical Generation of Gauge Hierarchy

Kenzi Tabata, Isao Umemura and Katsuji Yamamoto^*

Department of Nuclear Engineering, Kyoto University, Kyoto 606
^*Institute of Field Physics, Department of Physics and Astronomy, University of North Carolina, Chapel Hill, NC 27514

(Received October 14, 1983)

Abstract:

We construct a realistic supersymmetric SU(6) model for the grand unification, attempting to solve the hierarchy and fine tuning problems. The grand unification scale M_G is naturally generated by the quantum corrections when soft and explicit supersymmetry breaking mass terms are introduced for the scalars. In a reasonable region of the coupling constants, the potential minimum at M_G corresponding to SU(6) →SU(3)_C ×SU(2)_W ×U(1)_Y becomes unique and absolute. The fine tuning problem for the scalar masses is evaded by introducing the so-called “sliding singlet” so that the SU(2)_W doublets should remain massless up to M_W. The SU(3)_C ×SU(2)_W ×U(1)_Y theory in “low-energy” (\lesssimM_W) derived from the SU(6) model is examined in detail. Undesirable particles such as SU(3)_C-triplet scalars which cause the proton to decay become superheavy at M_G, while some additional particles as well as the ordinary ones will participate in the low-energy physics. A serious problem encountered in constructing an SU(5) model with the sliding singlet is also discussed.

URL : http://ptp.ipap.jp/link?PTP/71/615/
DOI : 10.1143/PTP.71.615

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 93-105 :

   Simple E₆ Unification with Anomalous U(1)_A Symmetry

   Nobuhiro Maekawa and Toshifumi Yamashita

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