Modulus stabilization and IR-brane kinetic terms in gauge-Higgs unification

Understand

We discuss the modulus stabilization by the Casimir energy and various effects of IR-brane kinetic terms for the gauge fields in a gauge-Higgs unification model in the warped spacetime, where the Wilson line phase $\theta_H$ is determined as $\theta_H=\pi/2$.

• We find that the brane kinetic terms with O(1) coefficients are necessary for the modulus stabilization.
• On the other hand, large brane kinetic terms can deviate 4D gauge couplings from the standard model values and also cause too light Kaluza-Klein (KK) modes.
• In the parameter region that ensures the modulus stabilization, the KK gluon appears below 1 TeV, which marginally satisfies the experimental bound.