possibility of using the effect of weak gravitational lensing of background galaxies by large-scale structures, or cosmic shear [see @physrepwl for a review], to constrain neutrino properties was first studied in Cooray (1999). Since then, various forecasts have been made and future cosmic shear surveys in combinations with redshift information and CMB data from Planck are expected to measure the sum of neutrino masses with an accuracy of $~0.05$ eV, using shear tomography [@Hannestad] or the full 3D shear field [@nu3d]. In the present work, we use the latest release of the CFHTLS wide survey, CFHTLS-T0003, where two-point angular correlations of the cosmic shear field were detected on scales ranging from 1 to 4 [@Fu]. The signal was measured on source galaxies with mean redshift $z_\mathrm{m}=0.92$, implying it is produced mainly by the dark matter distribution at $z \simeq 0.4$. The measured range therefore probes the non-linear matter power spectrum on comoving scales of $0.08 < k < 10\,h$ Mpc$^{-1}$, reaching the quasi-linear regime of largest scale corresponding to a physical size of approxiamtely $1\,h^{-1}$ Gpc. This largest scale probed is still one order of magnitude smaller than the largest free-streaming scale, $k^*_\mathrm{fs}\simeq 0.01\,
\mathrm{Mpc}^{-1}$, computed from Eq. (\[eq:kfsmax\]). The 