Results are presented from a search for new physics in the final state containing a photon and missing transverse energy. The data correspond to an integrated luminosity of 5.0 inverse femtobarns collected in pp collisions at sqrt(s)=7 TeV by the CMS experiment. The observed event yield agrees with standard-model expectations for photon plus missing transverse energy events. Using models for production of dark-matter particles (chi), we set 90% confidence level (CL) upper limits of 13.6--15.4 femtobarns on chi production in the photon plus missing transverse energy state. These provide the most sensitive upper limits for spin-dependent chi-nucleon scattering for chi masses between 1 and 100 GeV. For spin-independent contributions, the present limits are extended to chi masses below 3.5 GeV. For models with 3--6 large extra dimensions, our data exclude extra-dimensional Planck scales between 1.65 and 1.71 TeV at 95% CL.
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