The Tully-Fisher relation (TFR) represents a connection between fundamental galaxy parameters, such as its total mass and the mass locked in stars. Therefore, the study of the evolution of this relation in the optical and infrared bands can provide valuable information about the evolution of the individual galaxies through the changes found in each band. This work aims to study the TFR at high redshift in the B, V, R, I, and K-bands by comparison with the local relations derived from a large sample of galaxies in the redshift range 0.1<z<0.3, processed in the same way, and with the same instrumental constraints that the high-redshift sample. Using the large photometric information available in the AEGIS database, we have studied the best procedure to obtain reliable k-corrections. Instrumental magnitudes are then k and extinction corrected and the absolute magnitudes derived, using the concordance cosmological model. The rotational velocities have been obtained from the widths of optical lines using DEEP2 spectra. Finally, morphology has been determined via visual classification of the HST images. We detect evolution in the B, V and R-band TFRs in the sense that galaxies were brighter in the past for the same rotation velocity. The change in luminosity is more noticeable in the bluer bands. This colour evolution, unnoticed in our previous work (Fernández Lorenzo et al. 2009) has been detected thanks to the more reliable k-corrections carried out in this paper, which included photometry from B to IRAC bands. The change in the (V-K) and (R-I) colours (for a fixed velocity) could be interpreted as an ageing of the stellar populations as consequence of the star formation decrease since z=1.25. In addition, we conclude that spiral galaxies could have doubled their stellar masses in the last 8.6 Gyr. Comment: 14 pages, 10 figures; accepted in A&A