  The lightest neutralino ($\tilde{\chi}_1^0$) is a good Dark Matter (DM)
candidate in the R-parity conserving Minimal Supersymmetric Standard Model
(MSSM). In this work, we consider the light higgsino-like neutralino as the
Lightest Stable Particle (LSP), thanks to rather small higgsino mass parameter
$\mu$. We then estimate the prominent radiative corrections to the
neutralino-neutralino-Higgs boson vertices. We show that for higgsino-like
$\tilde{\chi}_1^0$, these corrections can significantly influence the
spin-independent direct detection cross-section, even contributing close to
100\% in certain regions of the parameter space. These corrections, therefore,
play an important role in deducing constraints on the mass of the higgsino-like
lightest neutralino DM, and thus the $\mu$ parameter.
