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A new examination of the GLV all-orders opacity result for radiative energyloss is presented. The opacity expansion is shown to be a Dyson expansion of aSchrodinger-like (or diffusion) equation, a form also found in BDMPS-Z-ASW, AMYand Higher Twist formalisms of radiative energy loss. A new, efficientnumerical evaluation of the GLV all-orders result gives results up to andbeyond ninth order in opacity. This presents a solution to thisSchrodinger-like equation to almost arbitrary accuracy for lengths anddensities applicable at RHIC and LHC. The first order is found to be mostimportant, although higher orders implemented in a geometry integration will beneeded for quantitative jet tomography.

Up to and beyond ninth order in opacity: Radiative energy loss with GLV