Polarization and kinematic properties of the splitting functions q→W±+q′ and q→Z0+q

In this paper, we consider the processes [Formula: see text] and [Formula: see text] and derive the respective splitting functions as functions of two kinematic variables: the longitudinal momentum fraction z and transverse momentum [Formula: see text] of the produced bosons with respect to the parent quark. We take into account kinematic (phase space) restrictions connected with nonzero masses of the gauge bosons and with limited initial energy. We separately consider three different polarization states of the bosons.