A Consistent Prescription for the Production Involving Massive Quarks in Hadron Collisions

This paper addresses the issue of production of charm or bottom quarks in association with a high p(T) process in hadron hadron collision. These quarks can be produced either as part of the hard scattering process or as a remnant from the structure functions. The latter sums terms of the type ( alpha(s) log( p(T)/m(q)))(n). If structure functions of charm or bottom quarks are used together with a hard process which also allows production of these quarks double counting occurs. This paper describes the correct procedure in form of a Monte-Carlo algorithm, which is consistently derived from the factorisation theorem and provides two examples of its implimentation inside a Monte-Carlo event generator in cases of the single top and Drell-Yan process simulation at the LHC.