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In this letter, we propose the extended Lorentz transformation innoncommutative geometry, as a possibility on prohibition of the Higgs mass.  Since it is difficult to build the symmetry between the connections $A_{\mu}$and $H$, the transformation is defined for the differential two-forms. Theparameter of the transformation $\omega$ changes a two-form into othertwo-forms. Comparing the coefficients of the two-forms, the transformations aretranslated to those of the product fields $F_{\mu\nu}, D_{\mu} H$ and$HH^{\dagger}$. It shows the invariance of the bosonic Lagrangian explicitly.

A possibility on prohibition of Higgs mass by the extended Lorentz transformation in noncommutative geometry