Two loop finiteness of Higgs mass and potential in the Gauge-Higgs unification

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Abstract

The zero mode of an extra-dimensional component of gauge potentials serves as a 4D Higgs field in the gauge-Higgs unification. We examine QED on M 4 × S1 and determine the mass and potential of a 4D Higgs field (the A5, component) at the two loop level with gauge invariant regularization. It is seen that the mass is free from divergences and independent of the renormalization scheme.

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Hosotani, Y., Maru, N., Takenaga, K., & Yamashita, T. (2007). Two loop finiteness of Higgs mass and potential in the Gauge-Higgs unification. Progress of Theoretical Physics, 118(6), 1053–1068. https://doi.org/10.1143/PTP.118.1053

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