• Data for Figure 1a is the time resolved THz response of the Bi2Se3 film. • Data for Figure 1b is the normalised transmission response of the Bi2Se3 film. • Data for Figure 2a is the THz conductance of the Bi2Se3 film. • Data for Figure 2b is the THz conductance at 1.5 THz. • Data for Figure 3a are the real and imaginary transmission functions. • Data for Figure 3b is the tan (phi) response at different temperatures. • Data for Figure 3c is a comparison of THz and transport mobilities. • Data for Figure 3d is a comparison of THz and transport carrier densities. • Data for Figure 4a is the normalised Hall conductance as a function of applied magnetic field and the corresponding fits. • Data for Figure 4b is the alpha and dephasing length variation as a function of temperature.