General two Higgs doublet model (2HDM-G) and Large Hadron Collider data

We study the consistency of two Higgs doublet models in light of the new bosonic particle discovery at the LHC. We work within a general setup that we call here the general two Higgs doublet model, in which the quarks couple to both scalar doublets with aligned couplings such that flavor-changing neutral currents are absent at tree level. The framework encompasses the traditional type I, type II, lepton specific, and flipped models but also provides for more general possibilities. The best fit to the current data is given in the general scenario with specific parameter choices; however, a good fit is also obtained within a democratic model in which both the up-type and down-type quarks couple to each doublet with equal strengths. The approach provides a general framework in which to interpret future LHC Higgs data within extensions of the Standard Model with two Higgs doublets.