A left-right symmetric model with two Higgs bi-doublet is shown to be a consistent model for both spontaneous P and CP violation at TeV scale, it is unlike the minimal one Higgs bi-doublet model which has difficult for spontaneous CP violation. The flavor changing neutral currents can be suppressed by the mechanism of approximate global U(1) family symmetry. It is shown the current constraints from flavor physics, such as neural K and B meson mass differences, indirect CP violation and mixing-induced CP violation. The resulting new physics beyond the standard model can be directly searched at the colliders LHC and ILC.

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