Wrong sign Yukawa coupling of the 2HDM plus a singlet scalar dark matter confronted with dark matter and Higgs data

Understand

In the framework of type-II two-Higgs-doublet model with a scalar dark matter ($S$), we examine the wrong sign Yukawa coupling of the 125 GeV Higgs which is the only portal between the dark matter and SM sectors.

• After imposing the constraints from the Higgs searches at the LHC and dark matter experiments, we obtain some interesting observables: (i) The theory, oblique parameters, and the Higgs searches at the LHC can impose stringent constraints on $\tan\beta$ in the case of the wrong sign Yukawa coupling of the 125 GeV Higgs.
• For example, for $m_H=600$ GeV and 140 GeV $<m_A<200$ GeV, $\tan\beta$ is required to be in the range of 4.2 and 5.7.
• (ii) Due to the contribution of $SS\to AA$ annihilation channel to the relic density, the dark matter coupling with the 125 GeV Higgs can be sizably suppressed.