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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 isthe only portal between the dark matter and SM sectors. After imposing theconstraints from the Higgs searches at the LHC and dark matter experiments, weobtain some interesting observables: (i) The theory, oblique parameters, andthe 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. Forexample, for $m_H=600$ GeV and 140 GeV $<m_A<200$ GeV, $\tan\beta$ is requiredto 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 the125 GeV Higgs can be sizably suppressed. However, the $SS\to AA$ channel cannot solve the tension between the relic density and the signal data of 125 GeVHiggs for $m_S < 50$ GeV. (iii) The limits of XENON1T (2017) and PandaX-II(2017) exclude most of samples in the ranges of 65 GeV $<m_S<$ 78 GeV,$0.8<f^n/f^p<1$, and $y_d/y_u>-0.82$. (iv) The Fermi-LAT limits exclude most ofsamples in the range of 62.5 GeV $<m_S <65$ GeV, including the samples with$f^n/f^p\sim -0.7$.

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