Type-? 2HDM is a typical extension of standard model.An extra stable singlet scalar S is introduced to the type-? 2HDM,which can be as a candidate of dark matter.In the model,the 125 GeV Higgs boson can have wrong sign Yukawa couplings of down-type quark and lepton,and the interesting characteristic does not exist in the standard model.Besides,when the 125 GeV Higgs boson with wrong sign Yukawa coupling mediates the interaction of dark matter,the isospin-violating dark matter interaction with nucleon can be obtained,and the constraints from the direct detection of dark matter can be weakened.In addition,the experimental data of the searches for Higgs boson at the LHC can impose strong constraints on the parameter space of the 125 GeV Higgs with wrong sign Yukawa couplingIn this paper,we first introduce the standard model and type-? 2HDM briefly.Next,we introduce how to add a singlet scalar dark matter to the type-? 2HDM.Finally,after imposing the joint constraints from the theory,precision electroweak data,the flavor observables,the Higgs searches at the LHC and LEP,and the DM experiments,we examine the 125 GeV Higgs with the wrong sign Yukawa coupling in the type-? 2HDM with a singlet scalar dark matter.We take the light CP-even scalar as the 125 GeV Higgs boson,and the 125 GeV Higgs is taken to be the only portal between the dark matter and standard model sector.We obtain the following conclusions(i)In the case of the 125 GeV Higgs with wrong sign Yukawa coupling,the theory,oblique parameters,and the searches for the Higgs at the LHC can impose stringent constraints on tan ?.For example,for mH = 600 GeV,140 GeV<mA<200 GeV,tan ? is required to be in the range of 4.2 and 5.7(ii)Because of the contribution of the SS?AA annihilation channel to the relic density,the dark matter coupling with the 125 GeV Higgs can be sizably suppressed.However,the SS?AA channel cannot solve the tension between the relic density and the signal data of 125 GeV Higgs for mS<50 GeV(iii)The limits of spin-independent dark matter-nucleon cross section from XENON1T(2017)and PandaX-?(2017)can exclude most of the points in the ranges of 65 GeV<mS<78 GeV,0.8<fn/fp<1,andyd/yu>-0.82(iv)Most of the points in the range of 62.5 GeV<mS<65 GeV can be excluded by the limits of Fermi-LAT search for dark matter annihilation from dwarf spheroidal satellite galaxies. |