The analytical one-loop contributions to Higgs boson mass in the Supersymmetric Standard Model with vector-like particles

In this paper, we extend the Minimal Supersymmetric Standard Model (MSSM) with additional vector-like particles (VLPs) and compared the differences of mass spectrum and Feynman rules between the MSSM and MSSMV. We analytically calculate the one loop contributions to the Higgs boson mass from the fermions and sfermions in the on shell renormalization scheme. After discussing and numerically analyzing cases without bilinear terms and a case with a (partial) decoupling limit, we find: (i) the corrections depend on the mass splittings between quarks and squarks and between vector-like fermions and their sfermions; (ii) there exists the (partial) decoupling limit, where the VLPs decouple from the electroweak (EW) energy scale, even when one of the VLPs is light around the EW scale. The reason is that the contributions to Higgs mass can be suppressed by the (or partial) decoupling effects, which can make the EW phenomenology different from the MSSM. Moreover, we present some numerical analysis to understand these unique features.