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

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(phi) and the radion-SM coupling constant, 0.8 GeV less than or similar to m(phi) less than or similar to 260 GeV and 1400 GeV less than or similar to Lambda (phi) less than or similar to 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 similar or equal 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.