Spontaneous CP violation in E{sub 6} supersymmetric grand unified theory with SU(2) flavor and anomalous U(1) symmetries
- Department of Physics, Nagoya University, Nagoya 464-8602 (Japan)
- Department of Physics, Tohoku University, Sendai 980-8578 (Japan)
- DAMTP, Wilberforce Road, Cambridge, CB3 0WA (United Kingdom) and Cavendish Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE (United Kingdom)
We construct a model of spontaneous CP violation in E{sub 6} supersymmetric grand unified theory. In the model, we employ an SU(2){sub F} flavor symmetry and an anomalous U(1){sub A} symmetry. The SU(2){sub F} flavor symmetry is introduced to provide the origin of hierarchical structures of Yukawa coupling and to ensure the universality of sfermion soft masses. The anomalous U(1){sub A} symmetry is introduced to realize the doublet-triplet mass splitting, to provide the origin of hierarchical structures of Yukawa couplings, and to solve the {mu} problem. In the model, CP is spontaneously broken by the SU(2){sub F} breaking in order to provide a Kobayashi-Maskawa phase and to evade the supersymmetric CP problem. However, a naive construction of the model generally leads to an unwanted outcome, arg[{mu}b*]=O(1), when CP violating effects in the flavor sector are taken into account. We cure this difficulty by imposing a discrete symmetry and find that this prescription can play additional roles. It ensures that the realistic up-quark mass and Cabibbo angle are simultaneously realized without cancellation between O(1) coefficients. Also, severe constraints from the chromo-electric dipole moment of the quark can be satisfied without destabilizing the weak scale. The discrete symmetry reduces the number of free parameters, but the model is capable of reproducing quark and lepton mass spectra, mixing angles, and a Jarlskog invariant. We obtain characteristic predictions V{sub ub}{approx}O({lambda}{sup 4}) ({lambda}=0.22) and |V{sub cb}Y{sub b}|=|Y{sub c}| at the grand unified theory scale.
- OSTI ID:
- 21313506
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 11; Other Information: DOI: 10.1103/PhysRevD.80.115011; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CABIBBO ANGLE
COUPLING
CP INVARIANCE
ELECTRIC DIPOLE MOMENTS
FLAVOR MODEL
GRAND UNIFIED THEORY
KOBAYASHI-MASKAWA MATRIX
LEPTONS
MASS
MASS SPECTRA
SIMULATION
SPARTICLES
SU-2 GROUPS
SUPERSYMMETRY
TRIPLETS
U QUARKS
U-1 GROUPS
WEINBERG ANGLE
YUKAWA POTENTIAL