ANALYTIC CALCULATION OF PROMPT PHOTON PLUS ASSOCIATED HEAVY FLAVOR ATNEXT-TO-LEADING ORDER IN QCD

Contributions through second order, O(alpha(s)(2)), in perturbative qu antum chromodynamics are calculated analytically for inclusive associa ted production of a prompt photon and a charm quark at large values of transverse momentum in high energy hadron-hadron collisions. Seven pa rtonic subprocesses contribute at order alpha(s)(2). We find important corrections to the lowest order, O(alpha(s)), subprocess cg-->gamma c . We demonstrate to what extent data from p+(p) over bar-->gamma+c+X m ay serve to measure the charm quark density in the nucleon.