We calculate elastic electron-deuteron scattering in a chiral effective fie
ld theory approach for few-nucleon systems based on a modified Weinberg pow
er counting. We construct the current operators and the deuteron wave funct
ion at next-to-leading (NLO) and next-to-next-to-leading (NNLO) order simul
taneously within a projection formalism. The leading order comprises the im
pulse approximation of photons coupling to point-like nucleons with an anom
alous magnetic moment. At NLO, we include renormalizations of the single nu
cleon operators. To this order, no unknown parameters enter. At NNLO, one f
our-nucleon-photon operator appears. Its strength can be determined from th
e deuteron magnetic moment. We obtain not only a satisfactory description o
f the deuteron structure functions and form factors measured in electron-de
uteron scattering but also find a good convergence for these observables. (
C) 2001 Elsevier Science B.V. All rights reserved.