  The associated production of J/psi + gamma at the LHC is studied within the
NRQCD framework. The signal we focus on is the production of a J/psi and an
isolated photon produced back-to-back, with their transverse momenta balanced.
It is shown that even for very large values of transverse momentum (pT of the
order of 50 GeV) the dominant contribution to this process is not
fragmentation. This is because of the fact that fragmentation-type
contributions to the cross-section come from only a q q(bar) initial state,
which is suppressed at the LHC. We identify gg-initiated diagrams higher-order
in alpha(s) which do have fragmentation-type vertices. We find, however, that
the contribution of these diagrams is negligibly small.
