Results are presented from a search for new physics in the final state containing a photon () and missing transverse energy (6 E T ). The data correspond to an integrated luminosity of 5:0 fb À1 collected in pp collisions at ffiffi ffi s p ¼ 7 TeV by the CMS experiment. The observed event yield agrees with standardmodel expectations for the þ 6 E T events. Using models for the production of dark-matter particles (), we set 90% confidence level (C.L.) upper limits of 13.6-15.4 fb on production in the þ 6 E T state. These provide the most sensitive upper limits for spin-dependent -nucleon scattering for masses (M ) between 1 and 100 GeV. For spin-independent contributions, the present limits are extended to M < 3:5 GeV. For models with 3-6 large extra dimensions, our data exclude extra-dimensional Planck scales between 1.64 and 1.73 TeV at 95% C.L. DOI: 10.1103/PhysRevLett.108.261803 PACS numbers: 13.85.Rm, 11.25.Wx, 14.70.Kv, 14.80.Nb Final states in pp collisions at the Large Hadron Collider (LHC), containing a photon () of large transverse momentum (p T ) and missing transverse energy (6 E T ), are used to investigate two proposals of physics beyond the standard model (SM). One involves a model for dark matter (DM), which is now accepted as the dominant nonbaryonic contribution to the matter density of the Universe [1]. Direct searches for a DM candidate () rely on detection through elastic -nucleon scattering. Indirect searches consist of observation of photons or neutrinos produced in " annihilations in astrophysical sources. At the LHC, DM can be produced in the reaction q " q ! " , where the photon is radiated by one of the incoming quarks. The final state is a high-p T photon and 6 E T . Recent theoretical work [2][3][4][5] casts this process in terms of a massive mediator in the s channel that couples to a " pair of Dirac particles. This process is contracted into an effective theory with a contact interaction scale Ã, given byM , where M M is the mediator mass and g and g q are its couplings to and quarks, respectively. The model provides a way to connect the t-channel -nucleon elastic scattering to the s-channel pair-production mechanism. The effective s-channel operator can be chosen to represent either a vector or axialvector, spin-independent or spin-dependent interaction, respectively.The þ 6 E T final state also has sensitivity to models of extra spatial dimensions. The Arkani-Hamed, Dimopoulos, and Dvali model (ADD) [6], in particular, provides a possible solution to the hierarchy problem, viz., the disparity between two fundamental scales of nature: the electroweak unification scale (M EW % 100 GeV) and the Planck scale (M Pl % 10 19 GeV). In this framework, space-time is postulated to have n extra compact spatial dimensions with a characteristic scale R, leading to a modified Planck scale, M D , given by M 2 Pl % M nþ2 D R n . Assuming M D is of the same order as M EW , the observed large value of M Pl can be interpreted as being a consequence of the ''large'' size of R (relative to the Plan...