  In the recent paper on "The Higgs Legacy of the LHC Run I" we interpreted the
LHC Higgs results in terms of an effective Lagrangian using the SFitter
framework. For the on-shell Higgs analysis of rates and kinematic distributions
we relied on a linear representation based on dimension-6 operators with a
simplified fermion sector. In this addendum we describe how the extension of
Higgs couplings modifications in a linear dimension-6 Lagrangian can be
formally understood in terms of the non-linear effective field theory. It turns
out that our previous results can be translated to the non-linear framework
through a simple operator rotation.
