We compare predictions for the W , Z, gg → H and tt total cross sections at the Large Hadron Collider (LHC), for a centre-of-mass energy of 7 TeV, using the most recent publicly available next-to-leading order and next-to-next-to-leading order parton distribution functions (PDFs) from all PDF fitting groups. In particular, we focus on the dependence on the different values of the strong coupling, α S (M 2 Z ), used by each group. We also perform a comparison of the relevant quark-antiquark and gluon-gluon luminosity functions. We make some comments on the recent PDF4LHC recommendations. Finally, we discuss the comparison of data and theory for W and Z cross sections at the LHC.
Keywords: Hadronic Colliders, Standard Model, Deep Inelastic Scattering, Parton ModelArXiv ePrint: 1106.5788 2011. Searching for, or excluding, the Standard Model Higgs boson (H), produced mainly from gluon-gluon fusion through a top-quark loop, requires precise knowledge of the theoretical cross section. All these benchmark processes (W , Z, tt and gg → H) are sensitive to the parton distribution functions (PDFs) of the proton. The proton PDFs are determined by several groups from (global) analysis of a wide range of deep-inelastic scattering (DIS) and related hard-scattering data, taken at the HERA and Tevatron colliders and from fixed-target experiments at lower centre-of-mass energies; see refs. [12][13][14] for recent reviews.The aim of this paper is to compare next-to-leading order (NLO) and next-to-next-toleading order (NNLO) predictions, calculated within the standard framework of collinear factorisation, for the benchmark processes using the most recent publicly available PDFs from each group, all available using the current lhapdf V5.8.5 [15] interface. We will pay particular attention to the values of the strong coupling, α S , used by each fitting group and to the corresponding α S dependence of the benchmark cross sections. We do not aim to come up with a single "best" prediction for each of the benchmark cross sections together with a complete evaluation of all sources of theoretical uncertainty. We consider only uncertainties due to PDFs and α S on fixed-order (NLO and NNLO) predictions. We do not consider, for example, optimal (factorisation and renormalisation) scale choices and variations, electroweak corrections, or the effect of threshold resummation. For the gg → H process, we do not consider (C A π α S ) n -enhanced terms, use of a finite top-quark mass in the calculation of higher-order corrections, bottom-quark loop contributions, etc. Discussion of these issues can be found in the recent Handbook of LHC Higgs Cross Sections [16]. The findings regarding PDFs and α S reported here will be relevant also for more complete calculations, and the PDF and α S uncertainties often make up a sizeable or dominant part of the total theoretical uncertainty. We will present results only for total cross sections rather than differential distributions, and we do not attempt to account for the precise experimental cuts, although for...