Two-Higgs-Doublet Model with Soft CP-violation Confronting Electric Dipole Moments and Colliders

Abstract

We analyze CP-violating effects in both Electric Dipole Moment (EDM) measurements and future analyses at the Large Hadron Collider (LHC) assuming a Two-Higgs-Doublet Model (2HDM) with "soft" CP-violation. Our analysis of EDMs and current LHC constraints shows that, in the case of a 2HDM Type II and Type III, an $\mathcal{O}(0.1)$ CP-violating phase in the Yukawa interaction between $H_1$ (the $125\text{GeV}$ Higgs boson) and fermions is still allowed. For these scenarios, we study CP-violating effects in the neutron EDM and $t\bar{t}{H}_1$ production at the LHC. Our analysis shows that such an $\mathcal{O}(0.1)$ CP-violating phase can be easily confirmed or excluded by future neutron EDM tests, with LHC data providing a complementary cross-check.

60 pages in one column (34 pages in two columns), 14 figures, 11 tables, PRD accepted version. Introduction and EDM parts updated with brief discussion about EW baryogenesis. Collider part updated through better selection cuts to improve the significance. References added