Basis-independent treatment of the complex 2HDM

Abstract

The complex 2HDM (C2HDM) is the most general CP-violating two Higgs doublet model that possesses a softly-broken ${\mathbb{Z}}_2$ symmetry. However, the physical consequences of the model cannot depend on the basis of scalar fields used to define it. Thus, to get a better sense of the significance of the C2HDM parameters, we have analyzed this model by employing a basis-independent formalism. This formalism involves transforming to the Higgs basis (which is defined up to an arbitrary complex phase) and identifying quantities that are invariant with respect to this phase degree of freedom. Using this method, we have obtained the constraints that enforce the softly-broken ${\mathbb{Z}}_2$ symmetry. One can then relate the C2HDM parameters to basis-independent quantities up to a two-fold ambiguity. We then show how this remaining ambiguity is resolved. We also examine the possibility of spontaneous CP violation when the scalar potential of the C2HDM is explicitly CP-conserving. Basis-independent constraints are presented that govern the presence of spontaneous CP violation.

65 pages, 3 tables. Appendix E added to version 2, additional references included, and a number of clarifications (and corrections of typographical errors) implemented. A few more references and a number of clarifying footnotes added in version 3 (title change dictated by Physical Review D). Version 4 matches the published version

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Cited by in corpus (16)

• Electron EDM in the complex two-Higgs doublet model
• A natural mechanism for approximate Higgs alignment in the 2HDM
• Leaks of CP violation in the real two-Higgs doublet model
• New scenario for aligned Higgs couplings originated from the twisted custodial symmetry at high energies
• Impact of New Experimental Data on the C2HDM: the Strong Interdependence between LHC Higgs Data and the Electron EDM
• Renormalization of the C2HDM with FeynMaster 2
• P-even, CP-violating Signals in Scalar-Mediated Processes
• Exceptional regions of the 2HDM parameter space
• Electron EDM and $\Gamma (\mu \to e\gamma )$ in the 2HDM
• Muon Electric Dipole Moment as a Probe of Flavor-Diagonal CP Violation
• Charged lepton flavor violating processes in the Grimus-Neufeld model
• Yukawa Alignment Revisited in the Higgs Basis
• The one-loop impact of a dependent mass: the role of $m_3$ in the C2HDM
• A fully basis invariant Symmetry Map of the 2HDM
• Benchmarking a fading window: electroweak baryogenesis in the C2HDM, LHC constraints after Run 2 and prospects for LISA
• New Tools for Dissecting the General 2HDM