Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-04-06
Phys.Rev. D64 (2001) 076003
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, LaTeX, 5 eps figures, uses epsf.sty and axodraw.sty
Scientific paper
10.1103/PhysRevD.64.076003
The scalar field associated with fluctuations in the positions of the two branes, the ``radion'', plays an important role determining the cosmology and collider phenomenology of the Randall-Sundrum solution to the hierarchy problem. It is now well known that the radion mass is of order the weak scale, and that its couplings to standard model fields are order 1/TeV to the trace of the energy momentum tensor. We calculate longitudinal vector boson scattering amplitudes to explore the constraints on the radion mass and its coupling from perturbative unitarity. The scattering cross section can indeed become non-perturbative at energies prior to reaching the TeV brane cutoff scale, but only when some curvature-Higgs mixing on the TeV brane is present. We show that the coefficient of the curvature-Higgs mixing operator must be less than about 3 for the 4-d effective theory to respect perturbative unitarity up to the TeV brane cutoff scale. Mass bounds on the Higgs boson and the radion are also discussed.
Han Tao
Kribs Graham D.
McElrath Bob
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