Spontaneous CP Violating Phase as The CKM Matrix Phase

Abstract

We propose that the CP violating phase in the CKM mixing matrix is identical to the CP phases responsible for the spontaneous CP violation in the Higgs potential. A specific multi-Higgs model with Peccei-Quinn (PQ) symmetry is constructed to realize this idea. The CP violating phase does not vanish when all Higgs masses become large. There are flavor changing neutral current (FCNC) interactions mediated by neutral Higgs bosons at the tree level. However, unlike general multi-Higgs models, the FCNC Yukawa couplings are fixed in terms of the quark masses and CKM mixing angles. Implications for meson-anti-meson mixing, including recent data on $D-\bar{D}$ mixing, and neutron electric dipole moment (EDM) are studied. We find that the neutral Higgs boson masses can be at the order of one hundred GeV. The neutron EDM can be close to the present experimental upper bound.

16 pages, RevTex. Several typos corrected, and one reference added

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Cited by in corpus (11)

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• Lightness of Higgs Boson and Spontaneous CP Violation in Lee Model
• The CDF dijet excess from intrinsic quarks
• Structure Of Flavor Changing Goldstone Boson Interactions
• Minimal flavour violations and tree level FCNC
• Lightness of a Higgs Boson and Spontaneous CP-violation in the Lee Model: An Alternative Scenario
• Spontaneous CP Violating Phase as the Phase in PMNS Matrix
• CP violating phase sum rule ${\delta }_{\mathrm{KM}}^q+{\delta }_{\mathrm{KM}}^l=0$ for CKM and PMNS matrices
• Strong CP Problem and spontaneous generation of CP violating phase in CKM matrix
• CKM Phase and Spontaneous CP Violation