Chamseddine-Fröhlich-Grandjean Metric and Localized Higgs Coupling in Noncommutative Geometry

We propose a geometrized Higgs mechanism based on the gravitational sector in the Connes-Lott formulation of the Standard Model, which was constructed by Chamseddine, Fröhlich and Grandjean. The point of our idea is that Higgs couplings depend on the local coordinates of the four-dimensional continuum, M 4. The localized coupling can be calculated using a Wilson-like operator of the U(1) EM gauge field and the connection, which is defined in Z 2 × M 4.