

Paper: 
Decomposition of Cosmic Shear E/BMode on a Finite Interval 
Volume: 
446, Galaxy Evolution: Infrared to Millimeter Wavelength Perspective 
Page: 
393 
Authors: 
Xu, J.; Fu, L.; Kilbinger, M. 
Abstract: 
The decomposition of the cosmic shear field into E and Bmode is an
important diagnostic in weak gravitational lensing. However,
commonly used techniques to perform this separation suffer from
modemixing on very small or very large scales. We introduce a new
E/Bmode decomposition of the cosmic shear twopoint correlation on
a finite interval. This new statistic is optimised for cosmological
applications, by maximising the signaltonoise ratio (S/N) and a
figure of merit (FoM) based on the Fisher matrix of the cosmological
parameters Ω_{m} and σ_{8}.
We improve both S/N and FoM results substantially with respect to
the recently introduced ring statistic, which also provides
E/Bmode separation on a finite angular range. The S/N (FoM) is
larger by a factor of three (two) on angular scales between 1 and
220 arc minutes. In addition, it yields better results than for the
aperturemass dispersion langle M_{ap2} rangle, with
improvements of 20% (10%) for S/N (FoM). Our results depend on
the survey parameters, most importantly on the covariance of the
twopoint shear correlation function. Although we assume parameters
according to the CFHTLSWide survey, our method and optimisation
scheme can be applied easily to any given survey settings and
observing parameters. Arbitrary quantities, with respect to which
the E/Bmode filter is optimised, can be defined, therefore
generalising the aim and context of the new shear statistic. 



