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Shear peak statistics has gained a lot of attention recently as a practicalalternative to the two point statistics for constraining cosmologicalparameters. We perform a shear peak statistics analysis of the Dark EnergySurvey (DES) Science Verification (SV) data, using weak gravitational lensingmeasurements from a 139 deg$^2$ field. We measure the abundance of peaksidentified in aperture mass maps, as a function of their signal-to-noise ratio,in the signal-to-noise range $0<\mathcal S / \mathcal N<4$. To predict the peakcounts as a function of cosmological parameters we use a suite of $N$-bodysimulations spanning 158 models with varying $\Omega_{\rm m}$ and $\sigma_8$,fixing $w = -1$, $\Omega_{\rm b} = 0.04$, $h = 0.7$ and $n_s=1$, to which wehave applied the DES SV mask and redshift distribution. In our fiducialanalysis we measure $\sigma_{8}(\Omega_{\rm m}/0.3)^{0.6}=0.77 \pm 0.07$, aftermarginalising over the shear multiplicative bias and the error on the meanredshift of the galaxy sample. We introduce models of intrinsic alignments,blending, and source contamination by cluster members. These models indicatethat peaks with $\mathcal S / \mathcal N>4$ would require significantcorrections, which is why we do not include them in our analysis. We compareour results to the cosmological constraints from the two point analysis on theSV field and find them to be in good agreement in both the central value andits uncertainty. We discuss prospects for future peak statistics analysis withupcoming DES data.

Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data