  We characterise the stellar masses and star formation rates in a sample of
almost 40000 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 UKIDSS LAS and the mid infrared WISE All-Sky Survey. We find that ~30%
of the UV luminous WiggleZ galaxies are detected at >5sigma in the UKIDSS-LAS
at all redshifts. An even more luminous subset of 15% are also detected in the
WISE 3.4 and 4.6um bands. 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 log10(M*/M0)=9.6\pm0.7, 10.2\pm0.5 and 10.4\pm0.4 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. 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 0.3dex in the stellar masses. We find that
the best-fit M/LK is significantly lower (by ~0.4 dex) than that predicted by
simple optical colour based estimators, in particular for the bluer galaxies
with younger best-fit ages. The WiggleZ galaxies have star formation rates of
3-10 M0/yr 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~2-3.(abridged)
