  We present a detailed study of prompt photon production cross section in
heavy-ion collisions in the central rapidity region at energy of $\sqrt{s}=5.5$
TeV, appropriate to LHC experiment. We include the next-to-leading order
radiative corrections, $O(\alpha_{em}\alpha_s^2)$, nuclear shadowing and the
parton energy loss effects. We find that the nuclear effects can reduce the
invariant cross section for prompt photon production by an order of magnitude
at $p_t=3$ GeV. We discuss theoretical uncertainties due to parton energy loss
and nuclear shadowing parameters. We show that the K-factor, which signifies
the importance of next-to-leading order corrections, is large and has a strong
$p_t$ dependence.
