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The Large Underground Xenon (LUX) experiment is a dual-phase liquid xenontime projection chamber (TPC) operating at the Sanford Underground ResearchFacility in Lead, South Dakota. A calibration of nuclear recoils in liquidxenon was performed $\textit{in situ}$ in the LUX detector using a collimatedbeam of mono-energetic 2.45 MeV neutrons produced by a deuterium-deuterium(D-D) fusion source. The nuclear recoil energy from the first neutron scatterin the TPC was reconstructed using the measured scattering angle defined bydouble-scatter neutron events within the active xenon volume. We measured theabsolute charge ($Q_{y}$) and light ($L_{y}$) yields at an average electricfield of 180 V/cm for nuclear recoil energies spanning 0.7 to 74 keV and 1.1 to74 keV, respectively. This calibration of the nuclear recoil signal yields willpermit the further refinement of liquid xenon nuclear recoil signal models and,importantly for dark matter searches, clearly demonstrates measured ionizationand scintillation signals in this medium at recoil energies down to$\mathcal{O}$(1 keV).

Low-energy (0.7-74 keV) nuclear recoil calibration of the LUX dark matter experiment using D-D neutron scattering kinematics