Abstract
We calculate one-loop radiative correction to the mass of Higgs identified with the extra space components of the gauge field in a six-dimensional massive scalar QED compactified on a two-sphere. The radiatively induced Higgs mass is explicitly shown to be finite for arbitrary bulk scalar mass M . Furthermore, the remaining finite part also turns out to vanish, at least for the case of small M , thus suggesting that the radiatively induced Higgs mass exactly vanishes, in general. The non-zero “Kaluza–Klein” modes in the gauge sector are argued to have a Higgs-like mechanism and quantum mechanical N =2 supersymmetry, while the Higgs zero modes, as supersymmetric states, have a close relation with monopole configuration.
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