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The unprecedented quality, the increased dataset, and the wide area ofongoing and near future weak lensing surveys allows to move beyond the standardtwo points statistics thus making worthwhile to investigate higher orderprobes. As an interesting step towards this direction, we expolore the use ofhigher order moments (HOM) of the convergence field as a way to increase thelensing Figure of Merit (FoM). To this end, we rely on simulated convergence tofirst show that HOM can be measured and calibrated so that it is indeedpossible to predict them for a given cosmological model provided suitablenuisance parameters are introduced and then marginalized over. We then forecastthe accuracy on cosmological parameters from the use of HOM alone and incombination with standard shear power spectra tomography. It turns out that HOMallow to break some common degeneracies thus significantly boosting the overallFoM. We also qualitatively discuss possible systematics and how they can bedealt with.

Increasing the Lensing Figure of Merit through Higher Order Convergence Moments