Abstract
Assuming the Goldberger–Wise mechanism, we investigated the effective potential at the one-loop level in the Randall–Sundrum theory. We found the lower and upper bounds of the radion mass m φ and the radion-SM coupling constant, 0.8 GeV≲ m φ ≲260 GeV and 1400 GeV≲ Λ φ ≲1500 GeV for the one-loop level potential. These bounds were determined from two constraints of warp factor= O( M W / M Pl) and Higgs vev≃246 GeV, which can produce strong bounds of m φ and Λ φ . It is phenomenologically important that the one-loop allowed upper bound of the radion mass is about five times larger than the tree-level one, but the radion is still lighter than the Kaluza–Klein modes.
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