Bounds on the mass and coupling constant of radion in the Randall-Sundrum theory

Assuming the Goldberger-Wise mechanism, we investigated the effective poten tial at the one-loop level in the Randall-Sundrum theory. We found the lowe r and upper bounds of the radion mass m(phi) and the radion-SM coupling con stant, 0.8 GeV less than or similar to m(phi) less than or similar to 260 G eV and 1400 GeV less than or similar to Lambda (phi) less than or similar t o 1500 GeV for the one-loop level potential. These bounds were determined f rom two constraints of warp factor = O(M-W/M-Pl) and Higgs vev similar or e qual to 246 GeV, which can produce strong bounds of m(phi) and Lambda (phi) . 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. (C) 2001 Elsevier Science B.V. All rights reserved.