A new weak lensing shear analysis method using ellipticity defined by
  0th order moments
  We developed a new method that uses ellipticity defined by 0th order moments
(0th-ellipticity) for weak gravitational lensing shear analysis. Although there
is a strong correlation between the ellipticity calculated using this approach
and the usual ellipticity defined by the 2nd order moment, the ellipticity
calculated here has a higher signal-to-noise ratio because it is weighted to
the central region of the image. These results were confirmed using data for
Abell 1689 from the Subaru telescope. For shear analysis, we adopted the
ellipticity of re-smeared artificial image (ERA) method for point spread
function (PSF) correction, and we tested the precision of this 0th-ellipticity
with simple simulation, then we obtained the same level of precision with the
results of ellipticity defined by quadrupole moments. Thus, we can expect that
weak lensing analysis using 0 shear will be improved in proportion to the
statistical error.
