  The two Higgs bi-doublet left-right symmetric model (2HBDM) as a simple
extension of the minimal left-right symmetric model with a single Higgs
bi-doublet is motivated to realize both spontaneous P and CP violation while
consistent with the low energy phenomenology without significant fine tuning.
By carefully investigating the Higgs potential of the model, we find that
sizable CP-violating phases are allowed after the spontaneous symmetry
breaking. The mass spectra of the extra scalars in the 2HBDM are significantly
different from the ones in the minimal left-right symmetric model. In
particular, we demonstrate in the decoupling limit when the right-handed gauge
symmetry breaking scale is much higher than the electroweak scale, the 2HBDM
decouples into general two Higgs doublet model (2HDM) with spontaneous CP
violation and has rich induced sources of CP violation. We show that in the
decoupling limit, it contains extra light Higgs bosons with masses around
electroweak scale, which can be directly searched at the ongoing LHC and future
ILC experiments.
