Analytic calculation of prompt photon plus associated heavy flavor at next-to-leading order in QCD

Contributions through second order, O(alpha(s)(2)), in perturbative quantum chromodynamics are calculated analytically for inclusive associated production of a prompt photon and a charm quark at large values of transverse momentum in high energy hadron-hadron collisions. Seven partonic 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 may serve to measure the charm quark density in the nucleon.