An analysis of star formation with Herschel in the Hi-GAL Survey. I. The
  Science Demonstration Phase Fields
  The Herschel survey of the Galactic Plane (Hi-GAL) provides a unique
opportunity to study star formation over large areas of the sky and different
environments in the Milky Way. We use the best studied Hi-GAL fields to date,
two 2x2 tiles centered on (l, b) = (30, 0) deg and (l, b) = (59, 0) deg, to
study the star formation activity using a large sample of well selected young
stellar objects (YSOs). We estimate the star formation rate (SFR) for these
fields using the number of candidate YSOs and their average time scale to reach
the Zero Age Main Sequence, and compare it with the rate estimated using their
integrated luminosity at 70 micron combined with an extragalactic star
formation indicator. We measure a SFR of (9.5 +- 4.3)*10^{-4} Msol/yr and (1.6
+- 0.7)*10^{-4} Msol/yr with the source counting method, in l=30 deg and l=59
deg, respectively. Results with the 70 micron estimator are (2.4 +-
0.4)*10^{-4} Msol/yr and (2.6 +- 1.1)*10^{-6} Msol/yr. Since the 70 micron
indicator is derived from averaging extragalactic star forming complexes, we
perform an extrapolation of these values to the whole Milky Way and obtain
SFR_{MW} = (0.71 +- 0.13) Msol/yr from l = 30 deg and SFR_{MW} = (0.10 +- 0.04)
Msol/yr from l=59 deg. The estimates in l=30 deg are in agreement with the most
recent results on the Galactic star formation activity, indicating that the
characteristics of this field are likely close to those of the star-formation
dominated galaxies used for its derivation. Since the sky coverage is limited,
this analysis will improve when the full Hi-GAL survey will be available.
