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 Type II and Type III 2HDMs, an $\mathcal{O}(0.1)$ $CP$-violating phase in the Yukawa interaction between $H_1$ (the 125 GeV Higgs boson) and fermions is still allowed. For these scenarios, we study $CP$-violating effects in the neutron EDM and $t\overline{t}{H}_1$ 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.

• Received 29 April 2020
• Accepted 18 September 2020

DOI:https://doi.org/10.1103/PhysRevD.102.075029

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society