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Consideration of the latest experimental data on the searches for extendedsector of Higgs bosons produced at the LHC at a center-of-mass energy of 13TeV, allows for computer modeling of the properties of supersymmetric particleswithin 2HDM model. The experimental restrictions on model parameters accountedin FeynHiggs code that is implemented in SusHi program, gave us the possibilityto calculate the cross sections and branching fractions for three mechanisms ofproduction and decay of Higgs bosons: 1) pp$\rightarrow H\rightarrow\tau\tau$,2) pp$\rightarrow A\rightarrow Zh\rightarrow llbb$, 3) pp$\rightarrowH\rightarrow hh\rightarrow bb\tau\tau$ at a center-of-mass energy of 14 TeV.The considered computer modelling make it possible to draw conclusions aboutthe need to take into account the b-associated production process of Higgsbosons for fermionic decay channel at large values of tan$\beta$. Differentialcross sections with respect to the Higgs transverse momentum $p_t$ andpseudorapidity $\eta$ are calculated and the peculiarities of the kinematics ofthe Higgs boson decay products are recognized.

The study of the extended Higgs boson sector within 2HDM model