  In this work we compute the radiative corrections to the Higgs mass and the
Higgs quartic couplings coming from the Higgs sector itself and the scalar
fields $\phi$ in the Littlest Higgs (LH) model. The restrictions that the new
contributions set on the parameter space of the models are also discussed.
Finally this work, together with our three previous papers, complete our
program addressed to compute the relevant contributions to the Higgs low-energy
effective potential in the LH model and the analysis of their phenomenological
consequences.
