We characterise the stellar masses and star formation rates in a sample of \sim 40,000 spectroscopically confirmed UV luminous galaxies at 0.3 < z < 1.0 selected from within the WiggleZ Dark Energy Survey . In particular , we match this UV bright population to wide-field infrared surveys such as the near infrared ( NIR ) UKIDSS Large Area Survey ( LAS ) and the mid infrared WISE All-Sky Survey . We find that \sim 30 per cent of the UV-luminous WiggleZ galaxies , corresponding to the brightest and reddest subset , are detected at > 5 \sigma in the UKIDSS-LAS at all redshifts . An even more luminous subset of 15 per cent are also detected in the WISE 3.4 and 4.6 \mu m bands . In addition , 22 of the WiggleZ galaxies are extremely luminous at 12 and 22 \mu m and have colours consistent with being star formation dominated . We compute stellar masses for this very large sample of extremely blue galaxies and quantify the sensitivity of the stellar mass estimates to various assumptions made during the SED fitting . The median stellar masses are log _ { 10 } ( M _ { * } /M _ { \odot } ) =9.6 \pm 0.7 , 10.2 \pm 0.5 and 10.4 \pm 0.4 for the IR-undetected , UKIDSS detected and UKIDSS+ WISE detected galaxies respectively . We demonstrate that the inclusion of NIR photometry can lead to tighter constraints on the stellar masses by bringing down the upper bound on the stellar mass estimate . The mass estimates are found to be most sensitive to the inclusion of secondary bursts of star formation as well as changes in the stellar population synthesis models , both of which can lead to median discrepancies of the order of 0.3 dex in the stellar masses . We conclude that even for these extremely blue galaxies , different SED fitting codes therefore produce extremely robust stellar mass estimates . We find however , that the best-fit M/L _ { K } is significantly lower than that predicted by simple optical colour-based estimators for many of the WiggleZ galaxies . The simple colour-based estimator over-predicts M/L _ { K } by \sim 0.4 dex on average . The effect is more pronounced for bluer galaxies with younger best-fit ages . The WiggleZ galaxies have star formation rates of 3–10 M _ { \odot } yr ^ { -1 } and mostly lie at the upper end of the main sequence of star-forming galaxies at these redshifts . Their rest-frame UV luminosities and stellar masses are comparable to both local compact UV-luminous galaxies as well as Lyman break galaxies at z \sim 2 - 3 . The stellar masses from this paper will be made publicly available with the next WiggleZ data release .