PDF4LHC recommendations for LHC Run II

Abstract

We provide an updated recommendation for the usage of sets of partondistribution functions (PDFs) and the assessment of PDF and PDF+$\alpha_s$uncertainties suitable for applications at the LHC Run II. We reviewdevelopments since the previous PDF4LHC recommendation, and discuss and comparethe new generation of PDFs, which include substantial information fromexperimental data from the Run I of the LHC. We then propose a new prescriptionfor the combination of a suitable subset of the available PDF sets, which ispresented in terms of a single combined PDF set. We finally discuss tools whichallow for the delivery of this combined set in terms of optimized sets ofHessian eigenvectors or Monte Carlo replicas, and their usage, and provide someexamples of their application to LHC phenomenology