Dark matter has never been detected in a laboratory. Names for particles which could make up dark matter go by exotic names, such as MACHOs (MAssive Compact Halo Objects), WIMPs (Weakly Interacting Massive Particles), and more exotic things like neutralinos etc.
Experimental high energy physicists are particularly keen to find new particles which could make up the dark matter content of the universe.
Alternate theories posit that dark matter does not exist, but that gravity is incorrect for very small accelerations (effectively, there is a minimum possible acceleration in the universe which is non-zero). These theories are collectively referred to as MOND (modified Newtonian dynamics), although no generative theory exists yet, and experimental evidence is rather against it.