Gravity and form scattering and renormalization of gravity in six and eight dimensions

We calculate one-loop scattering amplitudes for gravitons and two-forms in dimensions greater than four. The string-based Kawai-Lewellen-Tye relationships allow gravitons and two-forms to be treated in a unified manner. We use the results to determine the ultraviolet infinities present in these amplitudes and show how these determine the renormalized one-loop action in six and eight dimensions.