  Differential cross sections for elastic scattering of photons from the
deuteron have recently been measured at the Tagged-Photon Facility at the MAX
IV Laboratory in Lund, Sweden. These first new measurements in more than a
decade further constrain the isoscalar electromagnetic polarizabilities of the
nucleon and provide the first-ever results above 100 MeV, where the sensitivity
to the polarizabilities is increased. We add 23 points between 70 and 112 MeV,
at angles 60deg, 120deg and 150deg. Analysis of these data using a Chiral
Effective Field Theory indicates that the cross sections are both
self-consistent and consistent with previous measurements. Extracted values of
\alpha_s = [12.1 +/- 0.8(stat) +/- 0.2(BSR) +/- 0.8(th)] X 10^{-4} fm^3 and
\beta_s = [2.4 +/- 0.8(stat) +/- 0.2(BSR) +/- 0.8(th)] X 10^{-4} fm^3 are
obtained from a fit to these 23 new data points. This paper presents in detail
the experimental conditions and the data analysis used to extract the cross
sections.
