  We extend the formalism developed in Ref. [20] for the renormalisation of the
chargino-neutralino sector to the most general case of the MSSM with complex
parameters. We show that products of imaginary parts arising from MSSM
parameters and from absorptive parts of loop integrals can already contribute
to predictions for physical observables at the one-loop level, and demonstrate
that the consistent treatment of such contributions gives rise to non-trivial
structure, either in the field renormalisation constants or the corrections
associated with the external legs of the considered diagrams. We furthermore
point out that the phases of the parameters in the chargino-neutralino sector
do not need to be renormalised at the one-loop level, and demonstrate that the
appropriate choice for the mass parameters used as input for the on-shell
conditions depends both on the process and the region of MSSM parameter space
under consideration. As an application, we compute the complete one-loop
results in the MSSM with complex parameters for the process h(a) to
chi(i)+chi(j)- (Higgs-propagator corrections have been incorporated up to the
two-loop level), which may be of interest for SUSY Higgs searches at the LHC,
and for chargino pair-production at an e+e- Linear Collider, e+e- to
chi(i)+chi(j)-. We investigate the dependence of the theoretical predictions on
the phases of the MSSM parameters, analysing in particular the numerical
relevance of the absorptive parts of loop integrals.
