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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 $M^4 \times S^1$ and determine the mass and potential of a 4D Higgs field (the $A_5$ component) at the two loop level with gauge invariant reguralization. It is seen that the mass is free from divergences and independent of the renormalization scheme.
Forward citations
Cited by 2 Pith papers
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To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification
The Higgs effective potential in non-Abelian gauge-Higgs unification on M4 x S1 is finite at two loops, but in an M5 x S1 example it depends on a four-Fermi counterterm at three loops.
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Models with rank-reducing discrete boundary conditions on $T^2/{\mathbb Z}_4$
An SU(6) gauge-Higgs unification model on T^2/Z4 with rank-reducing boundary conditions yields two Higgs doublets from the gauge field, quark unification in a 15, and a vacuum with small electroweak breaking via the H...
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