Gluon splitting in the colour dipole cascades

We present a method to implement the gluon splitting process, g→Qanti Q, into the dipole approximation to QCD cascades. It is known that due to the uncertainties in the interpolation between the pole regions, there are large uncertainties in the results. We show that there are further uncertainties due to the ordering in phase space of the gluon emission and gluon splitting processes. We present two options called the IO scheme (for independent dipoles) and another, the DO scheme (corresponding to an ordering in transverse momentum of the emissions) both of which lead to enhanced (hard) Qanti Q-pair production, as compared to conventional cascades. We compare to present experimental data and give predictions for LEP energies. (orig.)