Two-Higgs-doublet model in terms of observable quantities

We found a minimal and a comprehensive set of directly measurable quantities defining the most general two-Higgs-doublet model (2HDM); we call these quantities observables. The potential parameters of the model are expressed explicitly via these observables (plus nonphysical parameters which are similar to gauge parameters). The model with arbitrary values of these observables can, in principle, be realized (up to general enough limitations). Our results open the door for the study of Higgs models in terms of measurable quantities only. The experimental limitations can be implemented here directly, without complex, often model-dependent, analysis of the Lagrangian coefficients. The principal opportunity to determine all parameters of the 2HDM from the (future) data meets strong practical limitation. It is the problem for a very long time. Apart from this construction per se, we also obtain some by-products. Among them are the following: a simple criterium for charge parity symmetry ($CP$) conservation in the 2HDM, a new sum rules for Higgs couplings, a clear possibility of the coexistence of relatively light Higgses with the strong interaction in the Higgs sector, and a simple expression for the triple Higgs vertex $g(h_a{h}_a{h}_a)$, useful for the analysis of future $hhh$ coupling measurements.