Abstract
The complex two-Higgs doublet model is one of the simplest ways to extend the scalar sector of the Standard Model to include a new source of CP-violation. The model has been used as a benchmark model to search for CP-violation at the LHC and as a possible explanation for the matter-antimatter asymmetry of the Universe. In this work, we re-analyse in full detail the softly broken ℤ2 symmetric complex two-Higgs doublet model (C2HDM). We provide the code C2HDM_HDECAY implementing the C2HDM in the well-known HDECAY program which calculates the decay widths including the state-of-the-art higher order QCD corrections and the relevant off-shell decays. Using C2HDM_HDECAY together with the most relevant theoretical and experimental constraints, including electric dipole moments (EDMs), we review the parameter space of the model and discuss its phenomenology. In particular, we find cases where large CP-odd couplings to fermions are still allowed and provide benchmark points for these scenarios. We examine the prospects of discovering CP-violation at the LHC and show how theoretically motivated measures of CP-violation correlate with observables.
Highlights
The complex two-Higgs doublet model is one of the simplest ways to extend the scalar sector of the Standard Model to include a new source of CP-violation
In appendix B we describe the C2HDM HDECAY code
We show the individual contributions to the electric dipole moments (EDMs) coming from W -loops, fermion-loops, charged Higgs loops and charged Higgs plus W -loops
Summary
The version of the complex two-Higgs doublet model we discuss in this work has an explicitly CP-violating scalar potential, with a softly broken Z2 symmetry Φ1 → Φ1, Φ2 → −Φ2 written as. The mass matrix of the neutral scalar states (M2)ij =. Our choice of the 9 independent parameters of the C2HDM is: v = v12 + v22, tan β, mH±, α1, α2, α3, mH1, mH2, and Re(m212) With this choice, the mass of the heaviest neutral scalar is a dependent parameter, given by m2H3. The coefficients of the CP-even and of the CP-odd part of the Yukawa coupling, ce(Hif f ) and co(Hif f ), are presented in table 2. These couplings were implemented in the code HDECAY [40, 41] which provides all Higgs decay widths and branching ratios including the state-of-the-art higher order QCD corrections and off-shell decays. The description of the new C2HDM HDECAY code is presented in appendix B
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