Is the Higgs a sign of extra dimensions?
Hiroto So, Kazunori Takenaga
TL;DR
This paper explores how introducing a 4D cutoff in gauge-Higgs unification models relates the Higgs mass to the scale of extra dimensions, providing constraints based on LHC Higgs data.
Contribution
It establishes a connection between the 4D cutoff and extra dimensional scale in gauge-Higgs unification, incorporating the Higgs mass and LHC findings.
Findings
A relation between the 4D cutoff and extra dimension scale.
Constraints on model parameters from Higgs mass and LHC data.
Control of ultraviolet behavior via a 4D cutoff.
Abstract
We introduce a 4-dimensional cutoff in the scenario of gauge-Higgs unification to control the ultraviolet behavior. A one-loop effective potential for a Higgs field and the Higgs mass are obtained with the cutoff. We find an {\it interrelation} between the 4-dimensional cutoff and the scale of extra dimensions, which is concretized through the Higgs mass. Combining this interrelation and the recently discovered Higgs boson at LHC, we obtain an interesting constraint for the 4-dimensional cutoff and the extra dimensional scale.
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