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We make predictions for the diffractive longitudinal structure function F_L^Dto be measured at HERA, based on DGLAP fits of diffractive parton distributionswith twist--4 contribution. This contribution describes diffractive qqbarproduction from longitudinal photons and significantly changes predictions forF_L^D obtained in pure DGLAP analyses.

Diffractive structure function F_L^D from fits with higher twist