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

A new weak lensing shear analysis method using ellipticity defined by 0th order moments