We present lattice QCD calculations of nucleon electromagnetic form factors
using pion masses mπ = 149, 202, and 254 MeV and an action with
clover-improved Wilson quarks coupled to smeared gauge fields, as used by the
Budapest-Marseille-Wuppertal collaboration. Particular attention is given to
removal of the effects of excited state contamination by calculation at three
source-sink separations and use of the summation and generalized
pencil-of-function methods. The combination of calculation at the nearly
physical mass mπ = 149 MeV in a large spatial volume (mπLs = 4.2)
and removal of excited state effects yields agreement with experiment for the
electric and magnetic form factors GE(Q2) and GM(Q2) up to Q2 = 0.5
GeV2.Comment: v2: published version; 30 pages, 25 figures, 6 table