Implications of radion-Higgs-boson couplings for high energy scattering in the Randall-Sundrum model

In this report we derive the couplings of the Randall-Sundrum (RS) radion to the standard model (SM) Higgs boson. We then use these couplings to determine the J=0 partial wave amplitude for the process hh-->hφ. We find that at very high energies (i.e., s>>m²_h,m²_φ) the s wave partial wave unitarity is violated if m_h>m_c~163π<φ>υ where <φ> is the radion VEV. Interestingly this bound is independent of the radion mass to the leading order. We also consider the high energy behavior of the transition amplitudes for some other processes in the RS scenario and compare them with their SM behavior.