Comprehensive study of two Higgs doublet models in light of the new boson with mass around 125 GeV

A new boson of mass roughly 125 GeV has been recently reported by the ATLAS and CMS collaborations. Although its signals in various decay modes resemble those of the standard model (SM) Higgs boson, observed are the combinations of entangled information about the production, decay rates and total decay width of the new boson. In addition, some decay channels show non-negligible deviation from the SM expectation, such as the 2 sigma excess in the diphoton channel. In the four types (I, II, X and Y) of two Higgs doublet models, we perform the global chi(2) fit in three scenarios: (i) the new boson is the light CP-even Higgs boson h(0); (ii) it is the heavy CP-even Higgs boson H-0; (iii) the signals are from the degenerate state of h(0) and the pseudoscalar A(0). Considering other phenomenological constraints such as flavor physics, electroweak precision data, and the LEP search for the Higgs boson, we find that the first scenarios in Type II provides the best fit. And the other models are also as good as the SM in explaining the LHC Higgs data.