Higgs factory μ+μ- collider and the scaler electroweak sector

We describe the concept of a Higgs factory mu(+)mu(-) collider and the process that will measure the particle width, particle spectrum, and normal and rare decay branching fractions. Such a factory would be able to distinguish between the standard, minimal supersymmetric, and non-minimal supersymmetric models. A mu(+)mu(-) collider with appropriate luminosity and energy spread will provide the Higgs factory. We describe the current design of such a collider and the higher energy multi-TeV collider development as well.