Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
  We report the first Lattice QCD calculation using the almost physical pion mass mpi=149 MeV that agrees with experiment for four fundamental isovector observables characterizing the gross structure of the nucleon: the Dirac and Pauli radii, the magnetic moment, and the quark momentum fraction. The key to this success is the combination of using a nearly physical pion mass and excluding the contributions of excited states. An analogous calculation of the nucleon axial charge governing beta decay has inconsistencies indicating a source of bias at low pion masses not present for the other observables and yields a result that disagrees with experiment. 
J. R. Green, M. Engelhardt, S. Krieg, J. W. Negele, A. V. Pochinsky,   S. N. Syritsyn
hep-lat hep-ph nucl-th