Parton distribution functions and benchmark cross sections at next-to-next-to-leading order

Abstract

We present a determination of parton distribution functions (ABM11) and the strong coupling constant ${\ensuremath{\alpha}}_{s}$ at next-to-leading order and next-to-next-to-leading order (NNLO) in QCD based on world data for deep-inelastic scattering and fixed-target data for the Drell-Yan process. The analysis is performed in the fixed-flavor number scheme for ${n}_{f}=3$, 4, 5 and uses the $\overline{\mathrm{MS}}$ scheme for ${\ensuremath{\alpha}}_{s}$ and the heavy-quark masses. At NNLO we obtain the value ${\ensuremath{\alpha}}_{s}({M}_{Z})=0.1134\ifmmode\pm\else\textpm\fi{}0.0011$. The fit results are used to compute benchmark cross sections at hadron colliders to NNLO accuracy and to compare to data from the LHC.