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We review the present status of the determination of parton distributionfunctions (PDFs) in the light of the precision requirements for the LHC in Run2 and other future hadron colliders. We provide brief reviews of all currentlyavailable PDF sets and use them to compute cross sections for a number ofbenchmark processes, including Higgs boson production in gluon-gluon fusion atthe LHC. We show that the differences in the predictions obtained with thevarious PDFs are due to particular theory assumptions made in the fits of thosePDFs. We discuss PDF uncertainties in the kinematic region covered by the LHCand on averaging procedures for PDFs, such as advocated by the PDF4LHC15 sets,and provide recommendations for the usage of PDF sets for theory predictions atthe LHC.

A Critical Appraisal and Evaluation of Modern PDFs