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A simple gauged linear sigma model with several parameters to take thesymmetry breaking and the mass differences between the vector meson and theaxial vector meson into account is considered here as a possibly usefultemplate for the role of a light scalar in QCD as well as for (at a differentscale) an effective Higgs sector for some recently proposed walking technicolormodels. An analytic procedure is first developed for relating the Lagrangianparameters to four well established (in the QCD application) experimentalinputs. One simple equation distinguishes three different cases:1. QCD withaxial vector particle heavier than vector particle, 2. possible technicolormodel with vector particle heavier than the axial vector one, 3. the unphysicalQCD case where both the KSRF and Weinberg relations hold. The model is appliedto the s-wave pion-pion scattering in QCD. Both the near threshold region and(with an assumed unitarization) theglobal region up to about 800 MeV areconsidered. It is noted that there is a little tension between the choice ofbare sigma mass parameter for describing these two regions. If a reasonablegloba fit is made, there is some loss of precision in the near thresholdregion.

Gauged linear sigma model and pion-pion scattering