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We present weak lensing (WL) mass constraints for a sample of massive galaxyclusters detected by the South Pole Telescope (SPT) via the Sunyaev-Zeldovicheffect (SZE). We use $griz$ imaging data obtained from the Science Verification(SV) phase of the Dark Energy Survey (DES) to fit the WL shear signal of 33clusters in the redshift range $0.25 \le z \le 0.8$ with NFW profiles and toconstrain a four-parameter SPT mass-observable relation. To account for biasesin WL masses, we introduce a WL mass to true mass scaling relation described bya mean bias and an intrinsic, log-normal scatter. We allow for correlatedscatter within the WL and SZE mass-observable relations and use simulations toconstrain priors on nuisance parameters related to bias and scatter from WL. Weconstrain the normalization of the $\zeta-M_{500}$ relation,$A_\mathrm{SZ}=12.0_{-6.7}^{+2.6}$ when using a prior on the mass slope$B_\mathrm{SZ}$ from the latest SPT cluster cosmology analysis. Without thisprior, we recover $A_\mathrm{SZ}=10.8_{-5.2}^{+2.3}$ and$B_\mathrm{SZ}=1.30_{-0.44}^{+0.22}$. Results in both cases imply lower clustermasses than measured in previous work with and without WL, although theuncertainties are large. The WL derived value of $B_\mathrm{SZ}$ is $\approx20\%$ lower than the value preferred by the most recent SPT cluster cosmologyanalysis. The method demonstrated in this work is designed to constrain clustermasses and cosmological parameters simultaneously and will form the basis forsubsequent studies that employ the full SPT cluster sample together with theDES data.

Weak Lensing Analysis of SPT selected Galaxy Clusters using Dark Energy Survey Science Verification Data