  We present LUXCalc, a new utility for calculating likelihoods and deriving
WIMP-nucleon coupling limits from the recent results of the LUX direct search
dark matter experiment. After a brief review of WIMP-nucleon scattering, we
derive LUX limits on the spin-dependent WIMP-nucleon couplings over a broad
range of WIMP masses, under standard assumptions on the relevant astrophysical
parameters. We find that, under these and other common assumptions, LUX
excludes the entire spin-dependent parameter space consistent with a dark
matter interpretation of DAMA's anomalous signal, the first time a single
experiment has been able to do so. We also revisit the case of spin-independent
couplings, and demonstrate good agreement between our results and the published
LUX results. Finally, we derive constraints on the parameters of an effective
dark matter theory in which a spin-1 mediator interacts with a fermionic WIMP
and Standard Model fermions via axial-vector couplings. A detailed appendix
describes the use of LUXCalc with standard codes to place constraints on
generic dark matter theories.
