Common origin of radiative neutrino mass, dark matter and leptogenesis in scotogenic Georgi-Machacek model

We explore the phenomenology of the Georgi-Machacek model extended with two Higgs doublets and vector fermion doublets invariant under $SU(2)_L times U(1)_Ytimes mathcal {Z}_4 times mathcal {Z}_2$. The $mathcal {Z}_4$ symmetry is broken spontaneously while the imposed $mathcal {Z}_2$ symmetry forbids triplet fields to generate any vacuum expectation value and leading to an inert dark sector providing a viable candidate for dark matter and generate neutrino mass radiatively. Another interesting feature of the model is leptogenesis arising from decay of vector-like fermions. A detailed study of the model is pursued in search for available parameter space consistent with the theoretical and experimental observations for dark matter, neutrino physics, flavor physics, matter-antimatter asymmetry in the Universe.