The framework for a common origin of ${\delta }_{\mathrm{CKM}}$ and ${\delta }_{\mathrm{PMNS}}$

Abstract

We analyse a possible connection between CP violations in the quark and lepton sectors, parametrised by the CKM and PMNS phases. If one assumes that CP breaking arises from complex Yukawa couplings, both in the quark and lepton sectors, the above connection is not possible in general, since Yukawa couplings in the two sectors have independent flavour structures. We show that both the CKM and PMNS phases can instead be generated by a vacuum phase in a class of two Higgs doublet models, and in this case a connection may be established. This scenario requires the presence of scalar FCNC at tree level, both in the quark and lepton sectors. The appearance of these FCNC is an obstacle and a blessing. An obstacle since one has to analyse which models are able to conform to the strict experimental limits on FCNC, both in the quark and lepton sectors. A blessing, because this class of models is falsifiable since FCNC arise at a level which can be probed experimentally in the near future, specially in the processes $h\to e^{\pm }{\tau }^{\mp }$ and $t\to hc$. The connection between CP violations in CKM and PMNS is explicitely illustrated in models with Minimal Flavour Violation.

arXiv comment20 pages

References in corpus (18)

• Theory and phenomenology of two-Higgs-doublet models
• Minimal Flavour Violation: an effective field theory approach
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• 2020 Global reassessment of the neutrino oscillation picture
• Minimal Flavor Violation in the Lepton Sector
• Jarlskog-like invariants for theories with scalars and fermions
• Flavour-Changing Decays of a 125 GeV Higgs-like Particle
• Building and testing models with extended Higgs sectors
• Two--loop Contributions of Flavor Changing Neutral Higgs Boson to $\mu \to e\gamma$
• Relating the scalar flavour-changing neutral couplings to the CKM matrix
• Flavour Changing Higgs Couplings in a Class of Two Higgs Doublet Models
• Minimal Flavour Violation and Multi-Higgs Models
• The UTfit Collaboration Report on the Status of the Unitarity Triangle beyond the Standard Model I. Model-independent Analysis and Minimal Flavour Violation
• New Physics and Evidence for a Complex CKM
• Two-Higgs Leptonic Minimal Flavour Violation
• The Impact of Different Parameterizations on the Interpretation of CP Violation in Neutrino Oscillations
• Controlled Flavour Changing Neutral Couplings in Two Higgs Doublet Models
• Vacuum Induced CP Violation Generating a Complex CKM Matrix with Controlled Scalar FCNC

Cited by in corpus (2)

• Search for flavor-changing neutral $tqH$ interactions with $H\to \gamma \gamma$ in $pp$ collisions at $\sqrt{s}$ = 13 TeV using the ATLAS detector
• Implications of the Zero 1-3 Flavour Mixing Hypothesis: Predictions for ${\theta }_{23}^{\mathrm{PMNS}}$ and ${\delta }^{\mathrm{PMNS}}$