One loop corrections to the trilinear self coupling of the Higgs boson in the standard model with inclusion of singlet vector-like top quark

The complete one loop corrections to the trilinear self coupling of the Higgs boson is firstly evaluated in the Standard Model (SM) by employing the zero momentum approximation. Numerical results of the trilinear self coupling and its modifier ${\kappa }_{\lambda }$ are obtained. Then we extend the SM by including a singlet vector-like top partner and assume that the top partner only mixes with the top quark, combining with the latest value of the Higgs boson trilinear self coupling modifier ${\kappa }_{\lambda }$ reported by ATLAS Collaboration, the effects of the mass of the top partner and the mixing parameter on the modifier ${\kappa }_{\lambda }$ are systematically analyzed. Results indicate that the upper bound of the singlet top partner is about $2800$,GeV.