Two-Higgs-doublet model with soft <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math> violation confronting electric dipole moments and colliders
Kingman Cheung, Adil Jueid, Ying-nan Mao, Stefano Moretti
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 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.