Spontaneous CP Violating Phase as the Phase in PMNS Matrix

Abstract

We study the possibility of identifying the CP violating phases in the PMNS mixing matrix in the lepton sector and also that in the CKM mixing matrix in the quark sector with the phase responsible for the spontaneous CP violation in the Higgs potential, and some implications. Since the phase in the CKM mixing matrix is determined by experimental data, the phase in the lepton sector is therefore also fixed. The mass matrix for neutrinos is constrained leading to constraints on the Jarlskog CP violating parameter $J$, and the effective mass $<m_{\beta \beta }>$ for neutrinoless double beta decay. The Yukawa couplings are also constrained. Different ways of identifying the phases have different predictions for $\mu \to ee\bar{e}$ and $\tau \to l_1{l}_2{\bar{l}}_3$. Future experimental data can be used to distinguish different models.

16 pages, 3 figures

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Cited by in corpus (5)

• Bounded masses in Two Higgs Doublets Models, Spontaneous CP Violation and ${\mathbb{Z}}_2$ symmetry
• The CDF dijet excess from intrinsic quarks
• Structure Of Flavor Changing Goldstone Boson Interactions
• 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