  The framework of the electroweak chiral Lagrangian with a light Higgs is
extended by an additional scalar and then generalized to N scalars in the Higgs
sector. Divergences from scalar fluctuations are renormalized up to one loop
using the background field method. The results are crosschecked against the
case of one scalar. A subset of the divergences is demonstrated and
crosschecked diagrammatically. Together with the complete one-loop
renormalization of the electroweak chiral theory with one light Higgs conducted
previously, this constitutes a renormalization framework of any pure scalar
extension to the electroweak chiral theory.
