  A compact representation of the loop amplitude gamma gamma ggg -> 0 is
presented. The result has been obtained by using helicity methods and sorting
with respect to an irreducible function basis. We show how to convert spinor
representations into a field strength representation of the amplitude. The
amplitude defines a background contribution for Higgs boson searches at the LHC
in the channel H -> gamma gamma + jet which was earlier extracted indirectly
from the one-loop representation of the 5-gluon amplitude.
