Two Higgs Bi-doublet Left-Right Model With Spontaneous P and CP Violation

TL;DR

This paper proposes a left-right symmetric model with two Higgs bi-doublets that allows spontaneous P and CP violation, suppresses flavor-changing neutral currents, and remains consistent with experimental constraints, offering testable predictions at colliders.

Contribution

It introduces a novel two Higgs bi-doublet left-right model that effectively suppresses FCNCs and aligns with experimental data, expanding beyond previous single bi-doublet models.

Findings

Right-handed gauge boson W_2 can be below 1 TeV due to cancellations.

Model suppresses contributions to ε_K through CP phase adjustments.

Consistent with B^0 mixing and CP violation measurements.

Abstract

A left-right symmetric model with two Higgs bi-doublet is shown to be a consistent model for both spontaneous P and CP violation. The flavor changing neutral currents can be suppressed by the mechanism of approximate global U(1) family symmetry. We calculate the constraints from neural $K$ meson mass difference $\Delta m_K$ and demonstrate that a right-handed gauge boson $W_2$ contribution in box-diagrams with mass well below 1 TeV is allowed due to a cancellation caused by a light charged Higgs boson with a mass range $150 \sim 300$ GeV. The $W_2$ contribution to $\epsilon_K$ can be suppressed from appropriate choice of additional CP phases appearing in the right-handed Cabbibo-Kobayashi-Maskawa matrix. The model is also found to be fully consistent with $B^0$ mass difference $\Delta m_B$, and the mixing-induced CP violation quantity $\sin2\beta_{J/\psi}$, which is usually difficult for the model with only one Higgs bi-doublet. The new physics beyond the standard model can be directly searched at the colliders LHC and ILC.