Abstract: We develop a systematic and general approach to study the Effective Higgs Lagrangian in a framework in which the Higgs fields in the visible sector couple to another sector via the superpotential. The extra sector is assumed to be super-conformal in the ultra-violet (UV) but develops a mass-gap with supersymmetry breaking in the infra-red (IR) close to the TeV scale. The main technique used in the approach is that of the Operator Product Expansion (OPE). By using OPE methods, we are able to compute the parameters in the Higgs Lagrangian to quadratic order and make general statements that are applicable to many classes of models. Not only does this approach allow us to understand the traditional problems plaguing simple models from a deeper perspective, it also provides new possibilities for solutions of these problems. The methods and results of our work should be very useful in eventually constructing a fully viable electroweak-natural model of Beyond-the-Standard Model physics.