  We study the heating mechanisms and Ly{\alpha} escape fractions of 35
Ly{\alpha} blobs (LABs) at z = 3.1 in the SSA22 field. Dust continuum sources
have been identified in 11 of the 35 LABs, all with star formation rates (SFRs)
above 100 Msun/yr. Likely radio counterparts are detected in 9 out of 29
investigated LABs. The detection of submm dust emission is more linked to the
physical size of the Ly{\alpha} emission than to the Ly{\alpha} luminosities of
the LABs. A radio excess in the submm/radio detected LABs is common, hinting at
the presence of active galactic nuclei. Most radio sources without X-ray
counterparts are located at the centers of the LABs. However, all X-ray
counterparts avoid the central regions. This may be explained by absorption due
to exceptionally large column densities along the line-of-sight or by LAB
morphologies, which are highly orientation dependent. The median Ly{\alpha}
escape fraction is about 3\% among the submm-detected LABs, which is lower than
a lower limit of 11\% for the submm-undetected LABs. We suspect that the large
difference is due to the high dust attenuation supported by the large SFRs, the
dense large-scale environment as well as large uncertainties in the extinction
corrections required to apply when interpreting optical data.
