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

Abstract

In this report we derive the couplings of the Randall-Sundrum radion to the standard model higgs boson. We then use these couplings to determine the J=0 partial wave amplitude for the process $hh\to h\varphi$. We find that at very high energies (i.e. $s\gg m_h^2,{\mp }^2$) the s wave partial wave unitarity is violated if $m_h>m_c\approx \sqrt{16\pi \text{vphi}v}$ where $\text{vphi}$ is the radion vev. Interestingly this bound is independent of the radion mass to the leading order. We also consider the high energy behaviour of the transition amplitudes for some other processes in the RS scenario and compare them with their SM behaviour.

Comments: Plain Tex, no figures, 7 pages; the reasons for considering the particular process discussed in the paper has been added