Implication of a light radion on the RG evolution of higgs self coupling in the Randall-Sundrum model

In this paper we determine how the beta funtion of the higgs self coupling \lambda at one loop order is modified by a light stabilized radion in the Randall-Sundrum model. We then use the modified beta function to derive a lower bound on the radion vev , both for perturbative and non-perturbative values of \lambda at the ultra violet cut off \Lambda. The lower bound on is obtained by demanding that the renormalized coupling \lambda (\mu) at \mu =100 GeV be consistent with the present experimental bound of 110 GeV on the higgs mass from LEP2 searches. We also show that if \lambda (\Lambda) is sufficiently small then an upper bound on can be determined by requiring that \beta (\lambda)be positive over the relevant momentum range.Comment: 12 pages, latex, 5 ps figure

Testable (g−2)μ(g - 2)_{\mu} contribution due to a light stabilized radion in the Randall-Sundrum model

In this paper we calculate the $(g-2)_{\mu}$ contribution due to a light stabilized radion using the radion couplings both to the kinetic energy and the mass term of the muon. We find that the $(g-2)_{\mu}$ contribution due to radion diverges logarithmically with the cut off. We then show that the bound from precision EW data on radion phenomenology allows a sizable shift in the radion mediated muon anomaly that could be detected or tested with the present precision and certainly with the future precision for measuring muon anomaly.Comment: Latex, 9 pages, 3 eps figure

ρ\rho parameter constraints on radion phenomenology and a lower bound on Higgs mass

In this paper we determine the contribution of a light stabilized radion to the weak isospin violating $\rho$ parameter by using an ultraviolet momentum cut off as the regulator. The LEP1 bound on $\rho^{new}$ is then used to derive constraints on the radion mass \mphi and its vev \vphi. Finally by using the beta function of the higgs self coupling we have determined a lower bound on the higgs mass from the rho parameter constraints on \mphi and \vphi. Our results show that for \mphi < 600 GeV the rho parameter bound on $m_h$ is stronger than the present direct bound from LEPII.Comment: 15 pages, latex, 6 eps figures. Redone the calculation by using the cut-off regularisation techniqu