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We study the perturbative QCD corrections to heavy-quark structure functionsof charged-lepton deep-inelastic scattering and their impact on global fits ofparton distributions. We include the logarithmically enhanced terms nearthreshold due to soft gluon resummation in the QCD corrections atnext-to-next-to-leading order. We demonstrate that this approximation issufficient to describe the available HERA data in most parts of the kinematicregion. The threshold-enhanced next-to-next-to-leading order correctionsimprove the agreement between predictions based on global fits of the partondistribution functions and the HERA collider data even in the small-x region.

Higher order QCD corrections to charged-lepton deep-inelastic scattering and global fits of parton distributions