The missing element of the Standard Model of Particle Physics has already been observed by
the two LHC experiment detectors, i.e., ATLAS and CMS [1, 2]. The mass of the particle is near
125 GeV. The question of possibility of existence of further Higgs bosons is, however, still open.
There are certainly motivating theoretical arguments for SM extentious; One of those being the
Higgs boson mass quadratic divergence when radiative corrections are included. A natural solution
to this problem is Supersymmetry [3, 4] which requires a non-minimal Higgs sector. In order to
SUSY model it least twei Hings donibles are Fequired: The Minimal Supersymmetric
Standard Model (MSSM) is the simplest example of a supersymmetric model which belongs to two
Higgs doublet models (2HDM) [5]. In a general 2HDM, the Higgs sector consists of two charged
Higgs bosons, $H^{\pm}$, two CP-even neutral Higgs bosons, $h^0$, $H^0$, and a CP-odd neutral Higgs, $A^0$.
The lightest neutral Higgs boson, $h^0$, is taken to be SM-like and is the candidate for the signal
observed at LHC. The study of two Higgs doublet models is therefore necessary as the first step to
construct a model whose structure is a little more complicated than SM.
