  We study one loop structure of the scalar sector of non-linear electroweak
chiral Lagrangian (EWChL) with a light (composite) H-boson up to four
derivatives. First, we introduce relevant Lagrangian terms in general
parametrization of would-be Goldstone modes, taking into account potential and
finite mass of the scalar. Then we compute 1-, 2-, 3- and 4-point functions and
perform complete off-shell renormalization of the processes considered. On the
way we found new divergencies involving also the H-boson which cannot be
absorbed by the parameters of chiral invariant Lagrangian. We have demonstrated
explicitly how these divergencies can be removed by field redefinition, and
therefore proved that they are non-physical and give no contribution to the
on-shell amplitudes. As a physical result renormalization group equations are
derived to be used for future H-boson data analyses.
