Diagonal Kaluza-Klein expansion under brane localized potential

Haba, Naoyuki; Oda, Kin-Ya; Takahashi, Ryo

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Diagonal Kaluza-Klein expansion under brane localized potential

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Takahashi, Ryo
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Citation

Haba, N., Oda, K.-Y., & Takahashi, R. (2010). Diagonal Kaluza-Klein expansion under brane localized potential. Acta Physica Polonica B, 41(6), 1291-1316. Retrieved from http://arxiv.org/abs/0910.4528v3.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-7138-6

Abstract

We clarify and study our previous observation that, under a compactification with boundaries or orbifolding, vacuum expectation value of a bulk scalar field can have different extra-dimensional wave-function profile from that of the lowest Kaluza-Klein mode of its quantum fluctuation, under presence of boundary-localized potentials which would be necessarily generated through renormalization group running. For concreteness, we analyze the Universal Extra Dimension model compactified on orbifold $S^1/Z_2$, with brane-localized Higgs potentials at the orbifold fixed points. We compute the Kaluza-Klein expansion of the Higgs and gauge bosons in an $R_\xi$-like gauge by treating the brane-localized potential as a small perturbation. We also check that the $\rho$ parameter is not altered by the brane localized potential.