We propose an inclusive search for dark photons A 0 at the LHCb experiment based on both prompt and displaced dimuon resonances. Because the couplings of the dark photon are inherited from the photon via kinetic mixing, the dark photon A 0 → μ þ μ − rate can be directly inferred from the off-shell photon γ Ã → μ þ μ − rate, making this a fully data-driven search. For run 3 of the LHC, we estimate that LHCb will have sensitivity to large regions of the unexplored dark-photon parameter space, especially in the 210-520 MeV and 10-40 GeV mass ranges. This search leverages the excellent invariant-mass and vertex resolution of LHCb, along with its unique particle-identification and real-time data-analysis capabilities. DOI: 10.1103/PhysRevLett.116.251803 Dark matter-firmly established through its interactions with gravity-remains an enigma. Though there are increasingly stringent constraints on direct couplings between visible matter and dark matter, little is known about the dynamics within the dark sector itself. An intriguing possibility is that dark matter might interact via a new dark force, felt only feebly by standard model (SM) particles. This has motivated a worldwide effort to search for dark forces and other portals between the visible and dark sectors (see Ref.[1] for a review).A particularly compelling dark-force scenario is that of a dark photon A 0 which has small SM couplings via kinetic mixing with the ordinary photon through the operator ðϵ=2ÞF 0 μν F μν [2][3][4][5][6][7]. Previous beam dump [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], fixed target [22][23][24], collider [25][26][27], and rare meson decay [28][29][30][31][32][33][34][35][36][37] experiments have already played a crucial role in constraining the dark photon mass m A 0 and kinetic-mixing strength ϵ 2 . Large regions of the m A 0 − ϵ 2 plane, however, are still unexplored (see Fig. 1). Looking to the future, a wide variety of innovative experiments have been proposed to further probe the dark photon parameter space [38][39][40][41][42][43][44][45][46][47][48], though new ideas are needed to test m A 0 > 2m μ and ϵ 2 ∈ ½10 −7 ; 10 −11 .In this Letter, we propose a search for dark photons via the decayat the LHCb experiment during LHC run 3 (scheduled for 2021-2023). The potential of LHCb to discover dark photons was recently emphasized in Ref.[48], which exploits the exclusive charm decay modeHere, we consider an inclusive approach where the production mode of A 0 need not be specified. An important feature of this search is that it can be made fully data driven, since the A 0 signal rate can be inferred from measurements of the SM prompt μ þ μ − spectrum. The excellent invariant-mass and vertex resolution of the LHCb detector, along with its unique particle-identification and real-time data-analysis capabilities [50,51], make it highly sensitive to A 0 → μ þ μ − . We derive the LHCb sensitivity for both prompt and displaced A 0 decays, and show that LHCb can probe otherwise inaccessible regions of the m A 0 − ϵ 2 plane...