Anomaly of discrete family symmetries and gauge coupling unification(Summer Institute 2006)

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概要

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• Anomaly of discrete symmetries can be defined as the Jacobian of the path-integral measure. We assume that an anomalous discrete symmetry at low energy is remnant of an anomaly free discrete symmetry, and that its anomaly is cancelled by the Green-Schwarz (GS) mechanism at a more fundamental scale. If the Kac-Moody levels k_i,- assume nontrivial values, the GS cancellation conditions of anomaly modify the ordinary unification of gauge couplings. This is most welcome, because for a renormalizable model to be realistic any non-abelian family symmetry, which should not be hardly broken at lowenergy, requires multi SU/(2)_L doublet Higgs fields. As an example we consider a recently proposed supersymmetric model with Q_6 family symmetry. In this example, k_2=1, k_3=3 satisfies the GS conditions and the gauge coupling unification appears close to the Planck scale.

• 2007-02-20

著者

• Araki Takeshi

  Institute for Theoretical Physics, Kanazawa University

• Araki Takeshi

  Institute For Theoretical Physics Kanazawa University

関連論文

• Anomaly of discrete family symmetries and gauge coupling unification(Summer Institute 2006)
• Anomalies of Discrete Symmetries and Gauge Coupling Unification(Particles and Fields)
• Finite quantum corrections to neutrino mixing

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