  We consider the radiation of a soft gluon ($g$) and a soft quark-antiquark
($q{\bar q}$) pair in QCD hard scattering. In the soft limit the scattering
amplitude has a singular behaviour that is factorized and controlled by a soft
current, which has a process-independent structure in colour space. We evaluate
the soft $gq{\bar q}$ current at the tree level for an arbitrary multiparton
scattering process. The irreducible correlation component of the current
includes strictly non-abelian terms and also terms with an abelian character.
Analogous abelian correlations appear for soft photon-lepton-antilepton
emission in QED. The squared current for soft $gq{\bar q}$ emission produces
colour dipole and colour tripole interactions between the hard-scattering
partons. The colour tripole interactions are odd under charge conjugation and
lead to charge asymmetry effects. We consider the specific applications to
processes with two and three hard partons, and we discuss the structure of the
corresponding charge asymmetry contributions. We also generalize our QCD
results to the cases of QED and mixed QCD$\times$QED radiative corrections.
