  Models of inflation in which the Higgs field is non-minimally coupled to
gravity lead, after a recaling of the metric, to a complicated expression for
the potential of the inflaton field. Nevertheless, this potential produces the
desired features, both theoretical and experimental, after some approximations
are made. In this note, we also allow for a modification of the Higgs kinetic
term in such a way that the resulting potential for the inflaton field is,
without any approximation, of the simplest form after the rescaling of the
metric.
